{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1YiUIm5FHhDY"
      },
      "source": [
        "# Handling Graphs with NetworkX"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "UT4zSeisHhDf"
      },
      "source": [
        "Python offers the library NetworkX for manipulating graphs. You can learn more here:\n",
        "\n",
        "https://networkx.github.io/\n",
        "\n",
        "https://networkx.github.io/documentation/stable/tutorial.html"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 77,
      "metadata": {
        "id": "pXIQfO2DHhDg"
      },
      "outputs": [],
      "source": [
        "import networkx as nx\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "%matplotlib inline"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ECw3sYEOHhDj"
      },
      "source": [
        "### Creating a graph"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 79,
      "metadata": {
        "id": "f4yc2vg5HhDk"
      },
      "outputs": [],
      "source": [
        "G = nx.Graph()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4MfmgbAcHhDl"
      },
      "source": [
        "Add nodes to the graph"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 80,
      "metadata": {
        "id": "Macc2xa2HhDl",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "3e775bf7-e438-42f5-b669-6285b16a04e8"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1, 2, 3, 'Alice', 'Bob']\n"
          ]
        }
      ],
      "source": [
        "G.add_node(1)\n",
        "G.add_nodes_from([2,3])\n",
        "G.add_node('Alice')\n",
        "G.add_node('Bob')\n",
        "print(G.nodes())"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "m4268yAaHhDn"
      },
      "source": [
        "Draw the graph"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 81,
      "metadata": {
        "id": "MtckH_iUHhDo",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "outputId": "61705225-8bcb-4ab8-8af2-1ebd0b50197e"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "nx.draw_networkx(G)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "mlVbwVqgHhDp"
      },
      "source": [
        "Add edges to the graph"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 83,
      "metadata": {
        "id": "8D843TB6HhDp"
      },
      "outputs": [],
      "source": [
        "G.add_edge(1,2)\n",
        "G.add_edges_from([(1,3),('Alice','Bob')])\n",
        "e = (1,'Alice')\n",
        "G.add_edge(*e)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 84,
      "metadata": {
        "id": "uq_BOm4IHhDq",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "outputId": "1f41f90f-51b6-45b3-bd41-844d2bbad0a2"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "nx.draw_networkx(G)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EEP7krvtHhDq"
      },
      "source": [
        "Adding an edge with a new node will create the node Charlie in the graph"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 85,
      "metadata": {
        "id": "9Vz0YZCNHhDr",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 441
        },
        "outputId": "1c39f613-2db1-4df2-ccb1-1e7644ffbd28"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[(1, 2), (1, 3), (1, 'Alice'), ('Alice', 'Bob'), ('Alice', 'Charlie')]\n",
            "[1, 2, 3, 'Alice', 'Bob', 'Charlie']\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "G.add_edge('Alice','Charlie')\n",
        "print(G.edges())\n",
        "print(G.nodes())\n",
        "nx.draw_networkx(G)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Agt294TUHhDr"
      },
      "source": [
        "**Creating a graph from edges**\n",
        "\n",
        "This is the most common way to create a graph"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 86,
      "metadata": {
        "id": "DVM66LgAHhDs",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 441
        },
        "outputId": "702b1e5c-d249-48ea-a19e-9f3494876b1c"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1, 2, 3, 'Alice', 'Bob']\n",
            "[(1, 2), (1, 3), (1, 'Alice'), ('Alice', 'Bob')]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "G2 = nx.Graph()\n",
        "G2.add_edges_from([(1,2),(1,3),('Alice','Bob'),(1,'Alice')])\n",
        "print(G2.nodes())\n",
        "print(G2.edges())\n",
        "nx.draw_networkx(G2)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0BrIMbXOHhDs"
      },
      "source": [
        "Reading a graph from a file with list of edges\n",
        "\n",
        "https://networkx.org/documentation/stable/reference/readwrite/index.html"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 87,
      "metadata": {
        "id": "fDRaPdihHhDs",
        "scrolled": false,
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 441
        },
        "outputId": "10835098-90ba-40f3-be75-219f574a898d"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "['1', '2', '3', 'Alice', 'Bob', 'Charlie']\n",
            "[('1', '2'), ('1', '3'), ('1', 'Alice'), ('2', '3'), ('Alice', 'Bob'), ('Bob', 'Charlie')]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "#Read a graph from a list of edges\n",
        "G3 = nx.read_edgelist('graph_edges.txt')\n",
        "print(G3.nodes())\n",
        "print(G3.edges())\n",
        "nx.draw_networkx(G3)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "CWRVcogFHhDt"
      },
      "source": [
        "**Removing edges and nodes**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 88,
      "metadata": {
        "id": "kAWiA3jUHhDt",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 441
        },
        "outputId": "499ef3aa-dc83-4375-cc35-3a5cbd77592e"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[2, 'Alice', 'Bob']\n",
            "[('Alice', 'Bob')]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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VT0PO9aNMIASAJvrIquWZP6s9dz+6MaPj9TOaQ9BSraS1Wsm9q1c0LQQSdwYAoOluvaonT9xxfa69eF6SVy/yp3Lk+LUXz8sTd1zf1BBI3BkAgEmxdG5HHvrwymzeMZg16/vy8NeeT/94WyqVfwqDSpKeeR1ZdenC3HZNTy5ZOHtSxiYGAGASLV80O7+zekVe+utP5dlv/kM++3/+NodGx9PWWs2yeZ3pbJ/8S7MYAIApUKvVctHSxVmxuHuqh2LOAABMhd7e3ixbtmyqh5FEDADApKvX6+nt7c2FF1441UNJIgYAYNLt2LEjBw4ccGcAAEpVq9WSRAwAQKl6e3uTxM8EAFCqWq2W7u7unHvuuVM9lCRiAAAmXa1WmzY/ESRiAAAm3XRaVpiIAQCYdLVabdrMF0jEAABMqnq97mcCACjZ7t27MzIyIgYAoFRH9hjwMwEAFGq6bTiUiAEAmFS1Wi2zZ8/OnDlzpnooR4kBAJhER5YVViqVqR7KUWIAACbRdFtWmIgBAJhU021ZYSIGAGDS1Ov1abf7YCIGAGDS7N27N/v37/czAQCUajouK0zEAABMmt7e3iRiAACKVavV0tHRkXnz5k31UI4jBgBgkhxZSTCd9hhIxAAATJrpuKwwEQMAMGmm47LCRAwAwKSo1+vTcvfBRAwAwKTYt29fBgYG3BkAgFJN12WFiRgAgElxZMMhPxMAQKFqtVrOOeecLFy4cKqHcgIxAACT4MhKgum2x0AiBgBgUkzXlQSJGACASTFdNxxKxAAATIrpuuFQIgYAoOn6+/vzyiuviAEAKNWRPQbMGQCAQh3ZY8CdAQAoVG9vb9rb27No0aKpHsprEgMA0GS1Wi09PT2pVqfnZXd6jgoAfoxM52WFiRgAgKabzssKEzEAAE03nXcfTMQAADTV/v37s2fPHncGAKBUR/YYEAMAUKgjewz4mQAAClWr1TJjxoycf/75Uz2UkxIDANBER/YYaGlpmeqhnJQYAIAmmu7LChMxAABNNd2XFSZiAACaarrvPpiIAQBomuHh4ezatUsMAECpjuwx4GcCACjUkT0G3BkAgEL19vamtbU1ixcvnuqhnJIYAIAmqdVqueCCC9La2jrVQzklMQAATfJGWEmQiAEAaBoxAACFeyPsPpiIAQBoipGRkbz88svTfllhIgYAoCn6+vqSTP9lhYkYAICmOLLhkBgAgELVarVUq9UsWbJkqodyWmIAAJrgyB4DM2bMmOqhnJYYAIAmeKOsJEjEAAA0Ra1We0OsJEjEAAA0xRtlw6FEDABAwx08eDDbt28XAwBQqm3btiV5YywrTMQAADRcrVZLEnMGAKBUtVotlUolS5cuneqhTIgYAIAG6+3tzZIlS9LW1jbVQ5kQMQAADfZGWlaYiAEAaLg30rLCRAwAQMO9kXYfTMQAADTUoUOH8uKLL/qZAABK9YMf/CDj4+PuDABAqY7sMSAGAKBQvb29SZKenp4pHsnEiQEAaKBarZbzzz8/7e3tUz2UCRMDANBAb7RlhUnSOtUDAIA3uqGDo6ntGcqh0fFs2jWSnosumeohnZFKvV6vn+5NAwMD6e7uTn9/f7q6uiZjXAAwrW3eMZg16/uy7vmd6ds7nOMvpvVcOLczqy5bmA+t7MnyRbOnZIwTvX6LAQA4A9v2DufORzbkqS2701KtZGz85JfRI8evu2R+7rvp8iyd2zGJI5349ducAQCYoLXP9eWGB57MM1v3JMkpQ+DY489s3ZMbHngya5/ra/oYz4YYAIAJeHDd5nz84Q3Z9B9/Pnue/OzR1/d/+4n0/v77Mrpvx0n/dmy8noOj4/n4wxvy4LrNkzHcMyIGAOAYf/Inf5JKpZKVK1cefW3tc325//FNDTn//Y9vyuem2R0CqwkA4Bhr1qzJsmXL8uyzz2bLli1pn7s4dz+68aTv73zLqnT+5DuSlhkT/oy7Ht2Ya39i/qTPITgZdwYA4IdeeOGFPPPMM/nkJz+ZBQsWZM2aNbnzkQ0ZPcXcgEq1JZXWtlQqlQl/zuh4PXc+sqERQ24IMQAAP7RmzZrMmTMnv/ALv5Cbb745n/mLh/LUlt2nnCh4sjkDI9//el5e8/H0ffKW9H3ylrz0mTsytPHLSV6dQ/DUlt35wmNfynve8550d3eno6Mj119/fZ5++ulmfsXXJAYA4IfWrFmTD3zgA2lra8sv//Ivp7b1+zn88plP+Nv/7Sey8/P3ZPzAYLqvuSVzfvZX07boooxs/cbR9xzq+3ZuXf2eDAwM5O677859992Xffv25Z3vfGeeffbZRn6t0zJnAACSfOMb38j3vve9/NEf/VGS5O1vf3vauhdk8DvrMve85RM+z/iBoex94r+mbfGlOe+f/14qrW1Hjx3Z2qder2fXYw+m6+K35umnnz76E8Ptt9+eFStW5BOf+EQef/zxBn67U3NnAADy6l2BRYsWZdWqVUmSoUNjOeeyt2fou19JfXxswucZqX0r9UMj6b7m5uNCIMnRi/7hHVsz+sr2tCx/e/q278ju3buze/fuDA0N5V3vele+8pWvZHx8vHFf7jTcGQCgeGNjY1m7dm1WrVqVF154Icmr2w23Lb4s488+kgO9/5CZF/30hM41uu/lJMmMBRee9D2HX9meJNn91w9k2QUPvOZ7+vv7M2fOnDP5GmdNDABQvC996Ut56aWXsnbt2qxdu/aE40MbvzzhGJiQ+qv/6j931a/n9/7l+3LJwhOfXTBr1qzGfd5piAEAirdmzZosXLgwf/zHf3z0tW17h3PfY9/N8KavZnjTVzN++GCqM9pPe67Wc89Lkhze1ZsZcxa/9nvmnJ8kqbZ35LqffWdWLO5uwLc4e2IAgKKNjIzk4Ycfzi233JKbb7756OtDB0fzqRf+Ni2z5mX4H5/MyJb16XzzO057vpkX/XQqbTPT/9XPZ+bFbzthAmGlUknbeZek9dzzM7D+4cxv/w8nnGPXrl1ZsGBBY77gBIgBAIr26KOPZnBwMKtXrz7u9c721vTM7UitflmqHd0Z2vjlCcVAtb0jc971G9n72Kfy0v+4I50/eX2q58zKoZ0vpH74YOa/79+lUqlm3nv/bXZ9/ndy9U9fmV/7tV/LkiVL8uKLL2bdunXp6urKF7/4xWZ95ROIAQCKtmbNmpxzzjl597vffcKxVZctzEPrRzLzJ67K0MYvZ2xkYELnnH3ljWnp6M7A176Q/qc/l7S0ZMbcC9J11S8efU/nRVfml/7zX2bXU3+ZBx98MPv37895552XlStX5vbbb2/Y95uISv3IosdTmOjzkAHgx8nmHYN59x9+pWnnf+KOd7zm5MFGmej12z4DAHASyxfNznWXzE9LdeLPHZiIlmol110yv6khcCbEAACcwn03XZ7WBsdAa7WS+266vKHnfD3EAACcwtK5Hbln9YqGnvPe1SumzeOLEzEAAKd161U9+eiNlzbkXB+78bJ88KqehpyrUawmAIAJ+Miq5Zk/qz13P7oxo+P1Uz7W+Ee1VCtprVZy7+oV0y4EEncGAGDCbr2qJ0/ccX2uvXhekpx2YuGR49dePC9P3HH9tAyBxJ0BADgjS+d25KEPr8zmHYNZs74v6zbtTN+e4Rx7n6CSpGdeR1ZdujC3XdMzbVYNnIx9BgDgdRo6OJranqEcGh1PW2s1y+Z1prN96v+9PdHr99SPFADe4DrbW6f8YUOvhzkDAFA4MQAAhRMDAFA4MQAAhRMDAFA4MQAAhZvQ0sIjWxEMDAw0dTAAQOMcuW6fbkuhCcXA4OBgkmTp0qWvc1gAwGQbHBxMd/fJ90GY0A6E4+Pj2b59e2bPnp1KpbHPdAYAmqNer2dwcDCLFy9OtXrymQETigEA4MeXCYQAUDgxAACFEwMAUDgxAACFEwMAUDgxAACFEwMAULj/DxeB1a4xPTHLAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "G2.remove_edge(1,3)\n",
        "G2.remove_node(3)\n",
        "G2.remove_node(1)\n",
        "print(G2.nodes())\n",
        "print(G2.edges())\n",
        "nx.draw_networkx(G2)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Kft3bgdqHhDu"
      },
      "source": [
        "### The graph object, nodes and edges"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HR4CqGJoHhDu"
      },
      "source": [
        "A graph can be thought of as a dictionary with nodes as the keys\n",
        "\n",
        "Each node is a dictionary with the neighbors as the keys, and the edge properties as values"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 89,
      "metadata": {
        "id": "Z5ALHC5jHhDu",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 186
        },
        "outputId": "d44f037f-7f77-4165-e278-145674122591"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "networkx.classes.graph.Graph"
            ],
            "text/html": [
              "<div style=\"max-width:800px; border: 1px solid var(--colab-border-color);\"><style>\n",
              "      pre.function-repr-contents {\n",
              "        overflow-x: auto;\n",
              "        padding: 8px 12px;\n",
              "        max-height: 500px;\n",
              "      }\n",
              "\n",
              "      pre.function-repr-contents.function-repr-contents-collapsed {\n",
              "        cursor: pointer;\n",
              "        max-height: 100px;\n",
              "      }\n",
              "    </style>\n",
              "    <pre style=\"white-space: initial; background:\n",
              "         var(--colab-secondary-surface-color); padding: 8px 12px;\n",
              "         border-bottom: 1px solid var(--colab-border-color);\"><b>networkx.classes.graph.Graph</b><br/>def __init__(incoming_graph_data=None, **attr)</pre><pre class=\"function-repr-contents function-repr-contents-collapsed\" style=\"\"><a class=\"filepath\" style=\"display:none\" href=\"#\">/usr/local/lib/python3.12/dist-packages/networkx/classes/graph.py</a>Base class for undirected graphs.\n",
              "\n",
              "A Graph stores nodes and edges with optional data, or attributes.\n",
              "\n",
              "Graphs hold undirected edges.  Self loops are allowed but multiple\n",
              "(parallel) edges are not.\n",
              "\n",
              "Nodes can be arbitrary (hashable) Python objects with optional\n",
              "key/value attributes, except that `None` is not allowed as a node.\n",
              "\n",
              "Edges are represented as links between nodes with optional\n",
              "key/value attributes.\n",
              "\n",
              "Parameters\n",
              "----------\n",
              "incoming_graph_data : input graph (optional, default: None)\n",
              "    Data to initialize graph. If None (default) an empty\n",
              "    graph is created.  The data can be any format that is supported\n",
              "    by the to_networkx_graph() function, currently including edge list,\n",
              "    dict of dicts, dict of lists, NetworkX graph, 2D NumPy array, SciPy\n",
              "    sparse matrix, or PyGraphviz graph.\n",
              "\n",
              "attr : keyword arguments, optional (default= no attributes)\n",
              "    Attributes to add to graph as key=value pairs.\n",
              "\n",
              "See Also\n",
              "--------\n",
              "DiGraph\n",
              "MultiGraph\n",
              "MultiDiGraph\n",
              "\n",
              "Examples\n",
              "--------\n",
              "Create an empty graph structure (a &quot;null graph&quot;) with no nodes and\n",
              "no edges.\n",
              "\n",
              "&gt;&gt;&gt; G = nx.Graph()\n",
              "\n",
              "G can be grown in several ways.\n",
              "\n",
              "**Nodes:**\n",
              "\n",
              "Add one node at a time:\n",
              "\n",
              "&gt;&gt;&gt; G.add_node(1)\n",
              "\n",
              "Add the nodes from any container (a list, dict, set or\n",
              "even the lines from a file or the nodes from another graph).\n",
              "\n",
              "&gt;&gt;&gt; G.add_nodes_from([2, 3])\n",
              "&gt;&gt;&gt; G.add_nodes_from(range(100, 110))\n",
              "&gt;&gt;&gt; H = nx.path_graph(10)\n",
              "&gt;&gt;&gt; G.add_nodes_from(H)\n",
              "\n",
              "In addition to strings and integers any hashable Python object\n",
              "(except None) can represent a node, e.g. a customized node object,\n",
              "or even another Graph.\n",
              "\n",
              "&gt;&gt;&gt; G.add_node(H)\n",
              "\n",
              "**Edges:**\n",
              "\n",
              "G can also be grown by adding edges.\n",
              "\n",
              "Add one edge,\n",
              "\n",
              "&gt;&gt;&gt; G.add_edge(1, 2)\n",
              "\n",
              "a list of edges,\n",
              "\n",
              "&gt;&gt;&gt; G.add_edges_from([(1, 2), (1, 3)])\n",
              "\n",
              "or a collection of edges,\n",
              "\n",
              "&gt;&gt;&gt; G.add_edges_from(H.edges)\n",
              "\n",
              "If some edges connect nodes not yet in the graph, the nodes\n",
              "are added automatically.  There are no errors when adding\n",
              "nodes or edges that already exist.\n",
              "\n",
              "**Attributes:**\n",
              "\n",
              "Each graph, node, and edge can hold key/value attribute pairs\n",
              "in an associated attribute dictionary (the keys must be hashable).\n",
              "By default these are empty, but can be added or changed using\n",
              "add_edge, add_node or direct manipulation of the attribute\n",
              "dictionaries named graph, node and edge respectively.\n",
              "\n",
              "&gt;&gt;&gt; G = nx.Graph(day=&quot;Friday&quot;)\n",
              "&gt;&gt;&gt; G.graph\n",
              "{&#x27;day&#x27;: &#x27;Friday&#x27;}\n",
              "\n",
              "Add node attributes using add_node(), add_nodes_from() or G.nodes\n",
              "\n",
              "&gt;&gt;&gt; G.add_node(1, time=&quot;5pm&quot;)\n",
              "&gt;&gt;&gt; G.add_nodes_from([3], time=&quot;2pm&quot;)\n",
              "&gt;&gt;&gt; G.nodes[1]\n",
              "{&#x27;time&#x27;: &#x27;5pm&#x27;}\n",
              "&gt;&gt;&gt; G.nodes[1][&quot;room&quot;] = 714  # node must exist already to use G.nodes\n",
              "&gt;&gt;&gt; del G.nodes[1][&quot;room&quot;]  # remove attribute\n",
              "&gt;&gt;&gt; list(G.nodes(data=True))\n",
              "[(1, {&#x27;time&#x27;: &#x27;5pm&#x27;}), (3, {&#x27;time&#x27;: &#x27;2pm&#x27;})]\n",
              "\n",
              "Add edge attributes using add_edge(), add_edges_from(), subscript\n",
              "notation, or G.edges.\n",
              "\n",
              "&gt;&gt;&gt; G.add_edge(1, 2, weight=4.7)\n",
              "&gt;&gt;&gt; G.add_edges_from([(3, 4), (4, 5)], color=&quot;red&quot;)\n",
              "&gt;&gt;&gt; G.add_edges_from([(1, 2, {&quot;color&quot;: &quot;blue&quot;}), (2, 3, {&quot;weight&quot;: 8})])\n",
              "&gt;&gt;&gt; G[1][2][&quot;weight&quot;] = 4.7\n",
              "&gt;&gt;&gt; G.edges[1, 2][&quot;weight&quot;] = 4\n",
              "\n",
              "Warning: we protect the graph data structure by making `G.edges` a\n",
              "read-only dict-like structure. However, you can assign to attributes\n",
              "in e.g. `G.edges[1, 2]`. Thus, use 2 sets of brackets to add/change\n",
              "data attributes: `G.edges[1, 2][&#x27;weight&#x27;] = 4`\n",
              "(For multigraphs: `MG.edges[u, v, key][name] = value`).\n",
              "\n",
              "**Shortcuts:**\n",
              "\n",
              "Many common graph features allow python syntax to speed reporting.\n",
              "\n",
              "&gt;&gt;&gt; 1 in G  # check if node in graph\n",
              "True\n",
              "&gt;&gt;&gt; [n for n in G if n &lt; 3]  # iterate through nodes\n",
              "[1, 2]\n",
              "&gt;&gt;&gt; len(G)  # number of nodes in graph\n",
              "5\n",
              "\n",
              "Often the best way to traverse all edges of a graph is via the neighbors.\n",
              "The neighbors are reported as an adjacency-dict `G.adj` or `G.adjacency()`\n",
              "\n",
              "&gt;&gt;&gt; for n, nbrsdict in G.adjacency():\n",
              "...     for nbr, eattr in nbrsdict.items():\n",
              "...         if &quot;weight&quot; in eattr:\n",
              "...             # Do something useful with the edges\n",
              "...             pass\n",
              "\n",
              "But the edges() method is often more convenient:\n",
              "\n",
              "&gt;&gt;&gt; for u, v, weight in G.edges.data(&quot;weight&quot;):\n",
              "...     if weight is not None:\n",
              "...         # Do something useful with the edges\n",
              "...         pass\n",
              "\n",
              "**Reporting:**\n",
              "\n",
              "Simple graph information is obtained using object-attributes and methods.\n",
              "Reporting typically provides views instead of containers to reduce memory\n",
              "usage. The views update as the graph is updated similarly to dict-views.\n",
              "The objects `nodes`, `edges` and `adj` provide access to data attributes\n",
              "via lookup (e.g. `nodes[n]`, `edges[u, v]`, `adj[u][v]`) and iteration\n",
              "(e.g. `nodes.items()`, `nodes.data(&#x27;color&#x27;)`,\n",
              "`nodes.data(&#x27;color&#x27;, default=&#x27;blue&#x27;)` and similarly for `edges`)\n",
              "Views exist for `nodes`, `edges`, `neighbors()`/`adj` and `degree`.\n",
              "\n",
              "For details on these and other miscellaneous methods, see below.\n",
              "\n",
              "**Subclasses (Advanced):**\n",
              "\n",
              "The Graph class uses a dict-of-dict-of-dict data structure.\n",
              "The outer dict (node_dict) holds adjacency information keyed by node.\n",
              "The next dict (adjlist_dict) represents the adjacency information and holds\n",
              "edge data keyed by neighbor.  The inner dict (edge_attr_dict) represents\n",
              "the edge data and holds edge attribute values keyed by attribute names.\n",
              "\n",
              "Each of these three dicts can be replaced in a subclass by a user defined\n",
              "dict-like object. In general, the dict-like features should be\n",
              "maintained but extra features can be added. To replace one of the\n",
              "dicts create a new graph class by changing the class(!) variable\n",
              "holding the factory for that dict-like structure.\n",
              "\n",
              "node_dict_factory : function, (default: dict)\n",
              "    Factory function to be used to create the dict containing node\n",
              "    attributes, keyed by node id.\n",
              "    It should require no arguments and return a dict-like object\n",
              "\n",
              "node_attr_dict_factory: function, (default: dict)\n",
              "    Factory function to be used to create the node attribute\n",
              "    dict which holds attribute values keyed by attribute name.\n",
              "    It should require no arguments and return a dict-like object\n",
              "\n",
              "adjlist_outer_dict_factory : function, (default: dict)\n",
              "    Factory function to be used to create the outer-most dict\n",
              "    in the data structure that holds adjacency info keyed by node.\n",
              "    It should require no arguments and return a dict-like object.\n",
              "\n",
              "adjlist_inner_dict_factory : function, (default: dict)\n",
              "    Factory function to be used to create the adjacency list\n",
              "    dict which holds edge data keyed by neighbor.\n",
              "    It should require no arguments and return a dict-like object\n",
              "\n",
              "edge_attr_dict_factory : function, (default: dict)\n",
              "    Factory function to be used to create the edge attribute\n",
              "    dict which holds attribute values keyed by attribute name.\n",
              "    It should require no arguments and return a dict-like object.\n",
              "\n",
              "graph_attr_dict_factory : function, (default: dict)\n",
              "    Factory function to be used to create the graph attribute\n",
              "    dict which holds attribute values keyed by attribute name.\n",
              "    It should require no arguments and return a dict-like object.\n",
              "\n",
              "Typically, if your extension doesn&#x27;t impact the data structure all\n",
              "methods will inherit without issue except: `to_directed/to_undirected`.\n",
              "By default these methods create a DiGraph/Graph class and you probably\n",
              "want them to create your extension of a DiGraph/Graph. To facilitate\n",
              "this we define two class variables that you can set in your subclass.\n",
              "\n",
              "to_directed_class : callable, (default: DiGraph or MultiDiGraph)\n",
              "    Class to create a new graph structure in the `to_directed` method.\n",
              "    If `None`, a NetworkX class (DiGraph or MultiDiGraph) is used.\n",
              "\n",
              "to_undirected_class : callable, (default: Graph or MultiGraph)\n",
              "    Class to create a new graph structure in the `to_undirected` method.\n",
              "    If `None`, a NetworkX class (Graph or MultiGraph) is used.\n",
              "\n",
              "**Subclassing Example**\n",
              "\n",
              "Create a low memory graph class that effectively disallows edge\n",
              "attributes by using a single attribute dict for all edges.\n",
              "This reduces the memory used, but you lose edge attributes.\n",
              "\n",
              "&gt;&gt;&gt; class ThinGraph(nx.Graph):\n",
              "...     all_edge_dict = {&quot;weight&quot;: 1}\n",
              "...\n",
              "...     def single_edge_dict(self):\n",
              "...         return self.all_edge_dict\n",
              "...\n",
              "...     edge_attr_dict_factory = single_edge_dict\n",
              "&gt;&gt;&gt; G = ThinGraph()\n",
              "&gt;&gt;&gt; G.add_edge(2, 1)\n",
              "&gt;&gt;&gt; G[2][1]\n",
              "{&#x27;weight&#x27;: 1}\n",
              "&gt;&gt;&gt; G.add_edge(2, 2)\n",
              "&gt;&gt;&gt; G[2][1] is G[2][2]\n",
              "True</pre>\n",
              "      <script>\n",
              "      if (google.colab.kernel.accessAllowed && google.colab.files && google.colab.files.view) {\n",
              "        for (const element of document.querySelectorAll('.filepath')) {\n",
              "          element.style.display = 'block'\n",
              "          element.onclick = (event) => {\n",
              "            event.preventDefault();\n",
              "            event.stopPropagation();\n",
              "            google.colab.files.view(element.textContent, 71);\n",
              "          };\n",
              "        }\n",
              "      }\n",
              "      for (const element of document.querySelectorAll('.function-repr-contents')) {\n",
              "        element.onclick = (event) => {\n",
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              "          element.classList.toggle('function-repr-contents-collapsed');\n",
              "        };\n",
              "      }\n",
              "      </script>\n",
              "      </div>"
            ]
          },
          "metadata": {},
          "execution_count": 89
        }
      ],
      "source": [
        "type(G)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 90,
      "metadata": {
        "id": "48TCX58Qnem4",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "outputId": "40405ae5-846c-4c4b-de69-8d9ea2ef6520"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "nx.draw_networkx(G)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 91,
      "metadata": {
        "id": "EdP84EfyHhDu",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "e1158e6a-e9cc-446e-f6e6-06ef234d68bb"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1 : {2: {}, 3: {}, 'Alice': {}}\n",
            "2 : {1: {}}\n",
            "3 : {1: {}}\n",
            "Alice : {'Bob': {}, 1: {}, 'Charlie': {}}\n",
            "Bob : {'Alice': {}}\n",
            "Charlie : {'Alice': {}}\n"
          ]
        }
      ],
      "source": [
        "for n in G: print(n,':',G[n])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 92,
      "metadata": {
        "id": "zliczlJMHhDu",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "fe4e2d5d-3655-4f05-f72a-9ab6d0ca7dba"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "AtlasView({2: {}, 3: {}, 'Alice': {}})"
            ]
          },
          "metadata": {},
          "execution_count": 92
        }
      ],
      "source": [
        "G[1]"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 93,
      "metadata": {
        "id": "-TYJBEmmHhDv",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "7acf6e68-f078-44a2-b607-8ffcf89cf732"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1, 2, 3, 'Alice', 'Bob', 'Charlie']\n",
            "[(1, 2), (1, 3), (1, 'Alice'), ('Alice', 'Bob'), ('Alice', 'Charlie')]\n"
          ]
        }
      ],
      "source": [
        "print(G.nodes)\n",
        "print(G.edges)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 94,
      "metadata": {
        "id": "0imAxDOoHhDv",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "239d2a7e-c2b9-4ab8-b760-b5b10999740b"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{}\n",
            "{}\n"
          ]
        }
      ],
      "source": [
        "#For every node we can obtain the properties of the node (in this example this is empty)\n",
        "print(G.nodes['Alice'])\n",
        "#For every edge we can obtain the properties of the edge (in this example this is empty)\n",
        "print(G.edges[(1,2)])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "uDezZ-ohHhDw"
      },
      "source": [
        "### Graph attributes\n",
        "\n",
        "You can assign attributes and values to the nodes of the graph"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 95,
      "metadata": {
        "id": "gMqgqEFnHhDx",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "3cf7b3c9-76bb-498a-f945-78589dc9683b"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1 : {'value': 1}\n",
            "2 : {'value': -1}\n",
            "3 : {'value': 0}\n",
            "Alice : {'gender': 'female'}\n",
            "Bob : {'gender': 'male'}\n",
            "Charlie : {'gender': 'male'}\n"
          ]
        }
      ],
      "source": [
        "G3.nodes['Alice']['gender'] = 'female'\n",
        "G3.nodes['Bob']['gender'] = 'male'\n",
        "G3.nodes['Charlie']['gender'] = 'male'\n",
        "G3.nodes['1']['value'] = 1\n",
        "G3.nodes['2']['value'] = -1\n",
        "G3.nodes['3']['value'] = 0\n",
        "for n in G3.nodes():\n",
        "    print(n,':',G3.nodes[n])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 96,
      "metadata": {
        "id": "FETFBquyHhDy",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "6234da05-81aa-4fd5-819a-b2e603de61aa"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1 : {'2': {}, '3': {}, 'Alice': {}}\n",
            "2 : {'1': {}, '3': {}}\n",
            "3 : {'1': {}, '2': {}}\n",
            "Alice : {'Bob': {}, '1': {}}\n",
            "Bob : {'Alice': {}, 'Charlie': {}}\n",
            "Charlie : {'Bob': {}}\n"
          ]
        }
      ],
      "source": [
        "for n in G3.nodes():\n",
        "    print(n,':',G3[n])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "XcIWrTcRHhDy"
      },
      "outputs": [],
      "source": [
        "G3.nodes['Alice']['value'] = 1\n",
        "G3.nodes['Bob']['value'] = -1\n",
        "G3.nodes['Charlie']['value'] = 1\n",
        "for n in G3.nodes():\n",
        "    print(n+ \":\" + str(G3.nodes[n]['value']))\n",
        "\n",
        "for n in G3.nodes():\n",
        "    print(n,':',G3.nodes[n])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Q6NPY8KOHhDz"
      },
      "source": [
        "You can also add attributes and values to the edges in the graph"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 97,
      "metadata": {
        "id": "7tEcnVQiHhDz",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "966f6aec-37a0-4407-d1a0-5388f891555e"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{'label': 'strong'}\n",
            "{'Bob': {'label': 'strong'}, '1': {}}\n",
            "{'Alice': {'label': 'strong'}, 'Charlie': {}}\n"
          ]
        }
      ],
      "source": [
        "G3['Alice']['Bob']['label'] = 'strong'\n",
        "print(G3['Bob']['Alice'])\n",
        "print(G3['Alice'])\n",
        "print(G3['Bob'])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 98,
      "metadata": {
        "id": "IQe1M_HrHhDz",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "8db80dbb-9d2b-4390-8d5e-1fdaa2d0a702"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "('1', '2') : {}\n",
            "('1', '3') : {}\n",
            "('1', 'Alice') : {}\n",
            "('2', '3') : {}\n",
            "('Alice', 'Bob') : {'label': 'strong'}\n",
            "('Bob', 'Charlie') : {}\n"
          ]
        }
      ],
      "source": [
        "for e in G3.edges:\n",
        "    print(e,':',G3.edges[e])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 99,
      "metadata": {
        "id": "F_NezQF7HhD0",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "e0dd2822-e522-452c-ef2d-7395f3d95e01"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{'label': 'strong'}\n",
            "strong\n"
          ]
        }
      ],
      "source": [
        "print(G3.edges[('Alice','Bob')])\n",
        "print(G3.edges[('Alice','Bob')]['label'])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 100,
      "metadata": {
        "id": "OKtdkjvmHhD0",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "8bf60a39-05b4-4ff3-a72e-39901e268a1d"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{('Alice', 'Bob'): 'strong'}"
            ]
          },
          "metadata": {},
          "execution_count": 100
        }
      ],
      "source": [
        "# The method get_edge_attributes returns a dictionary with keys the edges\n",
        "#and values the values of the attribute we requested (for the edges that have it)\n",
        "nx.get_edge_attributes(G3,'label')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 101,
      "metadata": {
        "id": "kaN8_GA3HhD0",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 441
        },
        "outputId": "87239f26-bc5a-4248-b109-19b2063f6f16"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{('Alice', 'Bob'): 'strong'}\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{('Alice', 'Bob'): Text(-0.37365763054159395, 0.25276455935696873, 'strong')}"
            ]
          },
          "metadata": {},
          "execution_count": 101
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "pos=nx.spring_layout(G3)\n",
        "nx.draw_networkx(G3, pos)\n",
        "my_labels = nx.get_edge_attributes(G3,'label')\n",
        "print(my_labels)\n",
        "nx.draw_networkx_edge_labels(G3, pos, edge_labels=my_labels)\n",
        "#plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4tigunBpHhD1"
      },
      "source": [
        "### Weighted graphs\n",
        "\n",
        "A special attribute of a an edge is the \"weight\". When adding weighted edges, you enter triples consisting of the two edge endpoints and the weight of the edge. This weight is stored in an attribute \"weight\" by default."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 102,
      "metadata": {
        "id": "xkNGUA2CHhD1",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "f6b5296c-8258-41b9-b05a-acda64a27d55"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1 2 : {'weight': 0.5}\n",
            "2 3 : {'weight': 0.1}\n",
            "3 4 : {'weight': 0.7}\n",
            "1 2 0.5\n",
            "2 3 0.1\n",
            "3 4 0.7\n",
            "1 : {2: {'weight': 0.5}}\n",
            "2 : {1: {'weight': 0.5}, 3: {'weight': 0.1}}\n",
            "3 : {2: {'weight': 0.1}, 4: {'weight': 0.7}}\n",
            "4 : {3: {'weight': 0.7}}\n",
            "(1, 2) : {'weight': 0.5}\n",
            "(2, 3) : {'weight': 0.1}\n",
            "(3, 4) : {'weight': 0.7}\n"
          ]
        }
      ],
      "source": [
        "G4 = nx.Graph()\n",
        "G4.add_weighted_edges_from([(1,2,0.5),(2,3,0.1),(3,4,0.7)])\n",
        "for (a,b) in G4.edges():\n",
        "    print (a,b,':',G4[a][b])\n",
        "for (a,b,w) in G4.edges(data =True): #data=True returns weight as well\n",
        "    print (str(a)+\" \"+ str(b) + \" \" + str(w['weight']))\n",
        "for n in G4:\n",
        "    print(n,':',G4[n])\n",
        "for e in G4.edges:\n",
        "    print(e,':',G4.edges[e])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 103,
      "metadata": {
        "id": "DzaoHToGHhD6",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "f17b5966-ade0-4a36-885e-a255a5306a4c"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{(1, 2): 0.5, (2, 3): 0.1, (3, 4): 0.7}\n"
          ]
        }
      ],
      "source": [
        "weights = nx.get_edge_attributes(G4,'weight')\n",
        "print(weights)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 104,
      "metadata": {
        "id": "ABZ3sB2THhD7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 458
        },
        "outputId": "57b273cd-3750-46ff-ce7d-c8a2a0b43902"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{(1, 2): Text(0.2939891149210042, 0.7518699454152817, '0.5'),\n",
              " (2, 3): Text(-0.005670962283210068, -0.01436138843890844, '0.1'),\n",
              " (3, 4): Text(-0.2939912095122709, -0.7518752962919987, '0.7')}"
            ]
          },
          "metadata": {},
          "execution_count": 104
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "pos=nx.spring_layout(G4)\n",
        "nx.draw_networkx(G4, pos)\n",
        "nx.draw_networkx_edge_labels(G4, pos, edge_labels=weights)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 105,
      "metadata": {
        "id": "V26mBcDXHhD7",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "1f20ee8f-0b05-49f3-adb4-87181910634a"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{(1, 2): 0.5, (2, 3): 0.1, (3, 4): 0.7}\n"
          ]
        }
      ],
      "source": [
        "print(weights)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "c_Igbxj8HhD7"
      },
      "source": [
        "### Directed Graphs ###"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 106,
      "metadata": {
        "id": "kV_V_pHPHhD8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "outputId": "93d1bc98-9e33-4457-c4de-30f671bdcb6e"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "DG1=nx.DiGraph()\n",
        "DG1.add_edges_from([(1,2), (2,1), (3,1), (1,4), (2,4), (4,3)])\n",
        "pos=nx.spring_layout(DG1)\n",
        "nx.draw_networkx(DG1,pos)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 107,
      "metadata": {
        "id": "bF1r3sJJHhD8",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 545
        },
        "outputId": "a57b2f2f-4a5c-4b70-85e5-2906d07abfb6"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[(1, 2), (1, 4), (3, 1)]\n",
            "1 {2: {'weight': 0.5}, 4: {'weight': 0.1}}\n",
            "2 {}\n",
            "3 {1: {'weight': 0.75}}\n",
            "4 {}\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{(1, 2): Text(-0.332123582824281, 0.3802568118645169, '0.5'),\n",
              " (1, 4): Text(0.43857781973378507, -0.13289354232830075, '0.1'),\n",
              " (3, 1): Text(-0.22930316667771256, -0.1901059727874812, '0.75')}"
            ]
          },
          "metadata": {},
          "execution_count": 107
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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Vr2VmZuL111+Ho6MjtmzZgsuXL6NDhw44fvw4+vXrJzAtERGJxDkDFkin02HZsmXQaDQoKyureN3NzQ3jx49HdHQ0kpKS0K5dO4SGhqJjx44C0xIRkblgGTAjCoUCfn5+2L9/PwoKCu45VlpaiuLiYri5uQEAgoKC4OrqihoM/BARkZVjGTAzEydOhJOTExYuXIicnBwAQGxsLNauXYsWLVrAwcHhnvfLZDIBKYmIyJxwAqEZUqvVGD16NGJiYmBvb4/8/HwoFArMnj0bNjY2ouMREZGZ4ciAGWrbti22b9+OYcOGQalUok+fPpg7dy6GDBkiOhoREZkhjgyYqW7duqFbt24A/ppYqFAoBCciIiJzxZEBC8AiQERED4NlwMKUl5ejvLxcdAwiIjIjLAMW5tatW2jTpg2ioqJERyEiIjPBMmBhvL290aRJE7z88ssoKSkRHYeIiMwAy4CFUSgU2LRpE65du4bFixeLjkNERGaAZcACdejQAR988AH++9//IjY2VnQcIiIycdyoyEKVlZWhW7dusLe3x+nTp6FU8ilSIiJrw42KrJytrS02bdqEX3/9FZ999pnoOEREZMJYBixY7969MW3aNMybNw9JSUmi4xARkYliGbBwixcvhoeHB1599VXuYEhERA/EMmDhGjZsiC+//BKHDx/G119/LToOERGZIJYBKzBs2DBMmDABb7/9Nm7duiU6DhERmRiWASuxatUq2NjYYNq0aaKjEBGRiWEZsBJubm5YvXo1QkNDsXfvXtFxiIjIhLAMWBGVSoWnn34ar7/+OnJzc0XHISIiE8EyYEVkMhnWr1+P/Px8vPvuu6LjEBGRiWAZsDI+Pj5YunQpNmzYgOPHj4uOQ0REJoDLEVshvV6P/v37Iz09HX/88Qfs7e1FRyIiIiPgcsRUKblcjk2bNuH69etYtGiR6DhERCQYy4CVateuHebNm4fly5cjJiZGdBwiIhKItwmsWFlZGXr06AEbGxtER0dzZ0MiIgvD2wRUrbs7G8bExGDVqlWi4xARkSAsA1busccew/Tp0/Hhhx8iMTFRdBwiIhKAZYDw0UcfoUmTJpg8eTJ3NiQiskIsAwRHR0d8+eWXiIyMxJYtW0THISKiesYyQACAIUOGYOLEiZg5cybS0tJExyEionrEMkAVPv30U9jZ2WHq1KmioxARUT1iGaAKrq6uWLNmDXbt2oVdu3aJjkNERPWEZYDuMW7cODzzzDOYOnUqcnJyRMchIqJ6wDJA95DJZFi3bh0KCgowa9Ys0XGIiKgesAzQfZo1a4Zly5Zh06ZNiIyMFB2HiIiMjMsR0wPp9XoMHDgQqampiIuL486GRERmiMsR00ORy+XYuHEjbty4gQULFoiOQ0RERsQyQJVq27YtPvzwQ6xcuRK//fab6DhERGQkvE1AVSovL0fPnj0hk8lw5swZ2NjYiI5EREQ1xNsEZBA2NjbYtGkTYmNj8emnn4qOQ0RERsAyQNXq0aMHZsyYgQULFuDKlSui4xARkYGxDFCNLFq0CN7e3njllVeg1+tFxyEiIgNiGaAacXBwwIYNG3D8+HFs3rxZdBwiIjIglgGqsSeffBIvvPACZs2ahdTUVNFxiIjIQFgGqFZWrlyJBg0a4I033kANHkQhIiIzwDJAtdK4cWOsXbsWe/bswc6dO0XHISIiA2AZoFoLCgrC6NGjMXXqVGRnZ4uOQ0RED4llgGpNJpNh7dq1KC4uxjvvvCM6DhERPSSWAaqTpk2bYvny5diyZQuOHDkiOg4RET0ELkdMdabX6zFo0CCkpKQgLi4ODg4OoiMREdHfcDliMrq7OxvevHkT8+fPFx2HiIjqiGWAHkrr1q2xYMECfPrppzh37pzoOEREVAe8TUAPrby8HI899hj0ej3OnTvHnQ2JiEwEbxNQvbGxscHmzZtx4cIFLF++XHQcIiKqJZYBMohu3brh7bffxqJFixAfHy86DhER1QLLABnMggUL0KxZM+5sSERkZlgGyGAcHBywceNGREVFYcOGDaLjEBFRDbEMkEEFBATg5ZdfxrvvvoubN2+KjkNERDXAMkAGt2zZMjg6OuL111/nzoZERGaAZYAMrnHjxvj8888RHh6O0NBQ0XGIiKgaLANkFGPGjMGYMWPw5ptvIjMzU3QcIiKqAssAGc3atWtRWlrKnQ2JiEwcywAZTZMmTbBixQp8/fXXiIiIEB2HiIgqweWIyagkScKTTz6JP//8E+fPn4ejo6PoSEREVoPLEZNJkMlk2LBhA27duoV58+aJjkNERA/AMkBG5+/vj4ULF+Kzzz7DmTNnRMchIqJ/4G0CqhdarRa9evVCeXk5zp07B1tb23uOF5ZqcS2zEGVaPWyVcrRwc4SjnVJQWiIiy1DT6zd/21K9UCqV2Lx5M3r06IFly5Zh7ty5uHI7H9ujkxEZn47krCL8vZXKAPi6OiCgrQfG9/JFa08nUdGJiCweRwaoXs2ePRufbfoWw+Ztxe9pxVDIZdDpK/9P8O7xfv7uWBLYCT6uDvWYlojIvHECIZmk9iNehscLa/BHWhEAVFkE/n78VFImBq86DvXZZKNnJCKyNiwDVG/WRl7Bh/suAwob6CGr1Wd1egmlWj3e3xWHtZFXjJSQiMg6sQxQvVCfTcaKQwkGOdeKQwnQcISAiMhgOIGQjC4lqwjzwy9UelxfVoy86F0oTY1HWVoC9CUFcHvqLTTsPLjSz3wYfgF9W7lzDgERkQFwZICMbs7uOGirmBugL8pD7snvUZ6ZAhuPljU6p1YvYc7uOENFJCKyahwZIKO6cjsfUYkZVb5H0dAVzaZug6JhY5SmXcGtrTOqPa9OLyEqMQOJ6fnw9+Bjh0RED4MjA2RU26OToZBXPVlQprSBomHjWp9bIZfh2184d4CI6GGxDJBRRcanV/v4YF3p9BIiE9KNcm4iImvCMkBGU1CqRXJWkVG/IzmzCIWlWqN+BxGRpWMZIKO5nlkI44wJ/H8SgGuZhUb+FiIiy8YyQEZTptVb1PcQEVkqlgEyGltl/fznVV/fQ0RkqfhblIymhZtjLRcdrj3Z/76HiIjqjmWAjMbRTglfI68Q2MTJBo52XC6DiOhhsAyQUQW09ah2nQEAyPv1B+ScVKMgNgIAUJx4Bjkn1cg5qYa+pJIJgnodLkfuRPfu3bFs2TJcu3bNgMmJiKwHywAZ1fhevjVaZyAvejdyo75Fwe8/AgCKEk4hN+pb5EZ9C31JwYM/JFdg0YQhaNmyJebPn4+WLVuiT58++L//+z/cvHnTkD8GEZFFk0mSVO1v6ry8PLi4uCA3NxfOzs71kYssyITN0TiVlGnQxYcUchn6+rlh20u9AAD5+fkIDw+HRqPBwYMHodVq0a9fP6hUKowdOxYeHh4G+24iInNR0+s3RwbI6JYEdoKyBrcKakMpl2FJYKeKfzs5OWH8+PEIDw9Heno6tmzZAnt7e0ybNg1NmjTBkCFDsGnTJmRlZRk0BxGRJWAZIKPzcXXAwpEdDXrORSM7Vrp9caNGjTBp0iQcPHgQt27dwvr166HT6TB58mR4enri6aefxjfffIPc3FyDZiIiMlcsA1QvQnr64p2hbQxyrllD20LV07dG73V3d8fkyZNx9OhRpKamYtWqVcjNzcXEiRPh6emJwMBAqNVqFBZyFUMisl6cM0D1Sn02GfPDL0Crl2o1h0Ahl0Epl2HRyI41LgJVSUlJQWhoKNRqNc6ePQt7e3uMGDECISEhGD58OOzt7R/6O4iIRKvp9ZtlgOpdSlYR5uyOQ1RiBhRyWZWl4O7xfv7uWBLYqdJbAw8jKSkJO3bsgEajQUxMDBo2bIhRo0YhJCQEQ4cOha2trcG/k4ioPrAMkMnS6XQIDg6GvZcf/IdNQmRCOpIzi+7Z1EgGwNfNAQFtPPBcb1/4ezjVS7b4+HhoNBqo1WpcunQJjRo1QmBgIEJCQjBo0CAolVzgiIjMB8sAmaTCwkKMGzcOBw4cQPPmzSsWCios1eJaZiHKtHrYKuVo4eYodGVBSZJw/vx5aDQaaDQaJCYmwt3dHUFBQVCpVOjfvz8UCoWwfERENcEyQCbn5s2bGD58OM6fPw9JktCuXTtcunRJdKxqSZKE3377raIYJCcnw8vLC+PGjUNISAh69+4NuZxzcYnI9LAMkEn57bffMHz4cGRlZUGr1QIAfHx8kJycLDhZ7UiShOjoaKjVaoSGhiI1NRU+Pj4IDg6GSqVCjx49IJMZe3smIqKaYRkgkxEbG4tevXqhtLQUf//PrVGjRsjOzhaY7OHo9XqcOHECarUaYWFhuHPnDvz8/KBSqaBSqdC5c2cWAyISiisQkslwdHSEv78/JEm65+JYUFCAGnRRkyWXy9G/f3+sW7cOqampiIiIQEBAAL744gt07doV7du3x4IFC8ziVggRWTeODFC9kCQJoaGhUKlUkMlkFSWgsLAQDg7G3ea4vpWVleHw4cPQaDTYvXs38vPz0blz54oRg1atWomOSERWgiMDZFJkMhmio6Ph6uqK+Ph4fPDBB3jmmWcs8hl+W1tbPPXUU9i6dSvS09Oxe/dudOjQAR9//DH8/f3Ro0cPrFixwuzmSxCR5eLIANWLgoICNGvWDFOmTMHSpUtFxxGisLAQ+/fvh0ajwf79+1FaWoo+ffogJCQE48aNQ5MmTURHJCILw5EBMinffvst8vPz8dprr4mOIoyjoyOCg4Oxc+dOpKenY9u2bXBzc8M777yDpk2bYuDAgfjiiy9w584d0VGJyMpwZICMTpIkPProo2jbti127dolOo7Jyc7Oxu7du6HRaHDkyBEAwKBBg6BSqRAYGAhXV1fBCYnIXHFkgEzG0aNHcfHiRUybNk10FJPUuHFjvPjii/jpp5+QlpaGtWvXory8HK+88gq8vLwwYsQIbNu2DXl5eaKjEpGF4sgAGd3o0aNx9epVxMbG8rn7WkhNTUVYWBg0Gg1OnToFOzs7PPXUU1CpVBgxYgQcHR1FRyQiE8eRATIJf/75J8LDwzFt2jQWgVry9vbGtGnTcPLkSVy/fh2LFy9GSkoKQkJC4OHhgZCQEOzevRslJSWioxKRmePIABnVrFmzsHnzZty4ccPi1hMQ5erVqxX7JMTGxsLJyQmjR4+GSqXCkCFDLPJxTSKqGy5HTMIVFhaiWbNmeOWVV7Bs2TLRcSzS5cuXK7Zcvnz5Mho3bowxY8ZApVIhICCAWy4TWTmWARJuw4YNeO2113D16lW0aNFCdByLJkkS4uLiKopBUlISHnnkEQQFBSEkJARPPPEEt1wmskIsAySUJEno3LkzWrVqhT179oiOY1UkScKvv/5acSshJSUFTZo0uWfLZc7fILIOLAMkVGRkJAYNGoQjR45g0KBBouNYLb1ej19++QUajQahoaFIS0uDr68vgoODERISgm7durEYEFkwlgESasyYMUhISEBcXBwvNiZCp9MhKioKGo0GYWFhyMjIQKtWrSo2UOrUqRP/b0VkYVgGSJjr16/Dz88P69atw6uvvio6Dj2AVqvF0aNHodFosGvXLuTk5KB9+/YVxaBdu3aiIxKRAbAMkDDvvfceNmzYgBs3bnBhHDNQVlaGQ4cOQaPRYO/evcjPz0eXLl0qioGfn5/oiERURywDJERRURF8fHwwadIkrFy5UnQcqqXi4mIcPHgQarUaP/zwA4qLi9GzZ0+oVCoEBwfDx8dHdEQiqgWuQEhCfPfdd8jOzsYbb7whOgrVgb29PQIDA6HRaHDnzh2o1Wo0bdoUH3zwAXx9ffHEE09gzZo1uHXrluioRGRAHBkgg5EkCV27dkXz5s0RHh4uOg4ZUF5eHvbu3Qu1Wo1Dhw5Bp9Nh4MCBUKlUCAoKgru7u+iIRPQAHBmgevfzzz8jNjaWuxNaIGdnZ0yYMAH79+/H7du3sXHjRigUCrz++uvw8vLCsGHD8NVXXyE7O1t0VCKqA44MkMGMHTsWFy9exIULF/iImpVIT0/Hzp07odFo8PPPP0OpVGLYsGEICQnByJEj4eTkJDoikVXjyADVq+TkZOzZswdTp05lEbAiHh4eeO2113Ds2DHcuHEDy5cvR2ZmJp577jl4eHggKCgIoaGhKCoqEh2ViKrAMkAGsX79ejg6OuL5558XHYUE8fb2xvTp03Hq1Clcu3YNixYtwvXr1xEcHAwPDw88++yz2LNnD7dcJjJBvE1AD624uBg+Pj6YMGECVq1aJToOmZjExMSKfRLi4uLg7Ox8z5bLNjY2oiMSWSyuM0D1ZsuWLXj55ZeRkJAAf39/0XHIhF28eLGiGMTHx8PV1bViy+WBAwdyy2UiA2MZoHohSRK6deuGpk2bYt++faLjkJmQJAmxsbFQq9XQaDT4888/4eHhgbFjx0KlUuGJJ56AXF77u5g3btzApUuX0L17d7i6uhohOZF54QRCqhcnTpxATEwM3nzzTdFRyIzIZDJ06dIFn3zyCa5evYozZ87gueeeQ3h4OAYMGAAfHx/MmDEDv/zyC2rw9wp0Oh2+++47DBw4EG+//Ta8vb0RHBzMRx2JaohlgB7KmjVr0LZtWwwZMkR0FDJTMpkMPXv2xMqVK3H9+nWcOHECQUFB+P7779GnTx/4+flhyZIlVZ5jx44d+PjjjxEQEIBjx44hKioKV69exffff19PPwWReWMZoDq7ceMGdu3ahalTp9ZpSJfon+RyOR5//HGsXr0aN2/exNGjRzFs2DAUFxdDp9NV+rlPPvkEPXv2xIoVK+Dm5oaePXuiU6dO0Gg0AFCj0QUia8bZOlRn33zzDRwcHDBx4kTRUcgCKRQKBAQEICAgAHq9vtL1K2JiYnDhwgWsW7cOLi4uFa83bNgQDg4OuHPnDh555JF7PlNSUoIff/wR586dQ58+ffDMM88Y9WchMnX8c47qRJIkzJo1C0eOHOEqc2R0crm80jKwa9cutGnTBp07d654LT8/HyUlJbCzs7uvCABAbm4ufv/9d1y9ehWjRo3CkCFDkJKSYrT8RKaOIwNUJzKZDDY2NujRo4foKGTlDh8+jP79+6NBgwYVr8XHxyMhIQGPP/44AECv199zK8vT0xPvvfcedDodLl68iEcfffSeUQUia8ORAXooXHqYRCotLYWnpycaNGgAW1vbitePHTuGvLw8jBw58oGf0+l0aNiwIa5evYrs7Gz07duXj02TVWMZICKzZWdnhy5duuDAgQMoLS0FAFy7dg1fffUVevXqhT59+lT5+W+//RYtWrRAx44dAXCiIVkvlgGqFn9Bkil79tln4erqin//+994++23MWDAALi5uWH27NkV7/nn0y4KhQIAEBERgb59+6J58+YAONJF1otlgKrFX5Bkytq2bYuwsDD06tULly9fxocffojt27ejRYsW2LhxI7766qt7dk3U6/UA/lowKycnB71794ajo6Oo+EQmgRMIqVI7duxAQkIC5s6dKzoKUZWaNWuGpUuX3vOaXq/Hxo0b4ezsjHHjxlW8frfc7tixA61atUKHDh0A/DUCxuJL1oplgCr17rvvYubMmRX/TkpKQmFhIZRKJTw9PeHq6spfoGSy5HI5NBoNbty4gYYNGwIA/vzzT5w8eRJDhw7FsWPHMHLkyCpvEeh0Omi1WtjZ2dVrdqL6xtsE9EA///wz7ty5g5deegkA8Omnn2Lw4MHo0qUL/v3vf2POnDnIyspiESCT1rJlS/Tr16/i3xcuXMDzzz8PX19fnD9/HoWFhRUTD/9Jq9Vi586d8PT0xKRJk3Dw4EGUl5fXV3SiesUyQA/00UcfYcKECXBwcMB3332HrVu3Yvz48UhLS8Ps2bOxe/duBAUFVfqLlMgUjRgxAnq9HlFRUXjttdewceNGdOjQAQcOHLjvvUqlEr1798a0adNw+vRpDB8+HE2aNMHkyZNx9OjRKpdHJjI33MKY7pOXlwdvb2889dRTmDZtGt544w288MILmD59esVIQHh4ON566y0cO3YMvr6+ghMT1d2pU6fQokULeHt7V/oeSZIQExMDjUYDjUaDa9euwdPTs2LL5ccff5z7c5BJ4hbGVGc5OTl44YUXUFxcjClTpiA3NxeDBg2CTCaDJEmQJAmdO3eGk5MTrl27Jjou0UPp27dvlUUA+Gs+wb/+9S8sXboUSUlJ+OWXX/Cf//wHe/bsQf/+/eHr64u3334bZ86c4aO4ZJY4MkCVunz5Mg4ePIjbt2/jpZdegr+/f8WxiIgIPPvss8jIyBCYkEgsvV6PkydPQqPRIDQ0FOnp6WjZsiWCg4OhUqnQtWtXzqshoWp6/WYZoHucPXsWxcXF6N+/f8VrBQUFcHBwqBgGTUpKwtSpU9GyZUt8/vnnoqISmRSdTofjx49DrVZj586dyMrKQps2baBSqaBSqSpWOSSqTywDVCf9+/dHSUkJ9u/f/8Dd3rRaLRYtWoRdu3bh8OHD8PLyEpCSyLSVl5fjyJEjUKvV2L17N/Ly8vDoo49WFIPWrVuLjkhWgmWAau3kyZPo168f/Pz8AACbN2/GgAEDoNPpKpZvBf4aGv3zzz/RqlUrUVGJzEZpaSl++uknqNVqhIeHo7CwEN26dYNKpUJwcDBatGghOiJZMJYBqrWhQ4fi0UcfxcKFCzFy5EjI5XJs2bKlYlEWIno4RUVF+PHHH6FWq7F//36UlJSgV69eCAkJwbhx49C0aVPREcnCsAxQrWRkZMDT0xMXLlxAu3bt8Ouvv+KFF15AXl4eNm7ciCFDhkCv10Mmk3FCFJEB5Ofn44cffoBGo8GBAweg1WrxxBNPICQkBGPHjoWHh4foiGQBWAaoVmbMmIFff/0VP//8c8VrKSkpmDJlCrKzs7F9+3a0bNlSYEIiy5WTk4M9e/ZAo9EgIiICkiQhICAAISEhGDNmDFxdXUVHJDPFdQaoVtLS0rBw4UIAqFhLwMfHB8uXL4dWq0W/fv0euEobET28Ro0aYdKkSThw4ABu3bqF9evXQ5IkvPrqq/D09MRTTz2FrVu3Ijc3V3RUslAcGaBq3bx5E1OnTkV8fDz27t3LmdBE9eTWrVsICwuDRqPBiRMnYGtri+HDh0OlUuGZZ56p2ICJqDIcGaAau7u/+4NIkoSmTZtixYoVaNSoEfd9J6pHXl5emDp1KqKiopCcnIxPPvkEaWlp+M9//gMPDw8EBwdj586dKC4uFh2VzBxHBqhad7cp1uv1XH+dyAQkJSVhx44d0Gg0iImJQcOGDTFq1CioVCoMHTqUWy5TBU4gpFq7e9F/kH+uNUBEpiE+Pr5iA6WLFy/CxcUFY8aMgUqlwqBBg2BjYyM6IgnEMkB1ptPpIJPJIJfLUVRUBAcHB9GRiKgGzp8/D41GA7VajcTERLi7uyMoKAgqlQr9+/dnobdCLANUI5cuXUJJSQlu3bqF9u3b37ca2ieffILr169j/vz5aNKkiZiQRFQrkiTh999/rxgxuH79Ory8vDBu3DioVCr06dOHt/ysBMsAVeudd96BRqPBnTt30L59eyiVSnTs2BGTJk3CwIEDodPpMHnyZFy8eBGnT58WHZeI6kCSJERHR0Oj0WDHjh1ITU1Fs2bNKvZJ6NGjBxcSs2AsA1Slbdu24f3338fq1avxxBNP4OTJk4iNjcXp06eRnZ2N0aNHY86cOQD+erSQy6QSmT+9Xo8TJ05Ao9EgLCwM6enp8PPzqygGnTt3ZjGwMCwDVKUhQ4agT58+WLRo0T2vx8TEYPv27fjqq68wZ84cvP3224ISEpExabVaHDt2DBqNBjt37kR2djbatm1bUQw6dOggOiIZAMsAVUqr1eKtt95CUlIS9uzZA1tb2/veM3fuXERERODw4cNwcnISkJKI6ktZWRkOHz4MjUaDPXv2IC8vD506daooBv7+/qIjUh1x0SGqlFKpxKhRo3D58mV88cUXyMrKuu89KpUKN27cQEpKioCERFSfbG1tK5Y8vn37Nnbv3o2OHTtiyZIlaN26NXr06IHly5fj+vXroqOSkbAMWKn+/ftj/PjxeO+99xAUFIRdu3YhLS0NhYWFKCwsxNGjRyGXyzlUSGRlGjRogNGjR+P777/HnTt3sGPHDjRv3hzz5s1DixYt0LdvX3z22WdITU0VHZUMiLcJrFxsbCzmzp2LAwcOoEmTJujVqxdOnToFT09PzJgxAxMmTBAdkYhMQF5eHsLDw6HRaPDTTz9Bq9Wif//+UKlUCAoK4pbLJopzBqhWbt26BbVajStXrqBNmzYYOHAgunTpIjoWEZmg7Oxs7NmzB2q1GkeOHAEADBo0CCqVCoGBgdxy2YSwDBARkdHduXMHu3btglqtxvHjx6FUKjFkyBCEhIRg1KhRvGYIxjJARET1Ki0tDWFhYVCr1Th16hTs7OwwfPhwhISEYMSIEdz1VACWAapWeXk5FAoFZDIZFxohIoNKTk5GaGgoNBoNzp49CwcHB4wYMQIhISEYPnw4GjRoIDqiVeCjhVStESNGYNWqVSwCRGRwvr6+mDlzJs6cOYPExETMnTsX8fHxGDNmDDw8PDBhwgTs378fZWVloqMSWAasVkxMDA4dOoTmzZuLjkJEFq5Vq1aYPXs2YmJicOnSJcycORPnzp3DiBEj4OXlhZdeegkRERHQarWio1ot3iawUi+99BIOHTqEP//8E0qlUnQcIrIykiQhLi6uYmfFq1ev4pFHHqnYcrlfv37cctkAeJuAKpWRkYHt27fj9ddfZxEgIiFkMhk6d+6Mjz/+GFeuXMG5c+cwceJE/PjjjwgICICPjw+mT5+O06dPowZ/s9JD4siAFVq6dCkWLFiAGzduwN3dXXQcIqIKer0e0dHRUKvVCA0NRVpaGnx9fREcHAyVSoXu3bsLnedUWKrFtcxClGn1sFXK0cLNEY52pvtHFZ8moAfSarXw8/PD4MGDsWXLFtFxiIgqpdPpcOLECajVaoSFhSEjIwOtWrWq2ECpU6dO9VIMrtzOx/boZETGpyM5qwh/v2jKAPi6OiCgrQfG9/JFa0/T2tiNZYAeaOfOnRg7dix+++03/Otf/xIdh4ioRrRaLSIjIyu2XM7JyUH79u0rikG7du0M/p0pWUWYszsOUYkZUMhl0Okrv1zePd7P3x1LAjvBx9XB4HnqgmWAHmjgwIHQ6XSIiooSHYWIqE7KysoQERFRseVyfn4+unTpUlEM/Pz8Kv1sRkYGGjduXO3kRPXZZMwPvwCtXqqyBPyTQi6DUi7DwpEdEdLTt8afMxZOIKT7xMbG4vjx43jzzTdFRyEiqjNbW1s8/fTT+Oabb5Ceno5du3ahXbt2WLx4MVq1aoWePXti5cqV923BXlhYCH9/fzz99NMoLS2t9PxrI6/g/V1xKNXqa1UEAECnl1Cq1eP9XXFYG3mlTj+fCCwDVmTNmjVo2rQpAgMDRUchIjKIBg0aIDAwEGq1Gunp6VCr1fDx8cEHH3wAX19fPP7441izZg3S0tKwf/9+5ObmIiIiAmPGjHlgIVCfTcaKQwkGybbiUAI0Z5MNci5j420CK5GZmVnx/yAffPCB6DhEREaVl5eHvXv3QqPR4NChQ9BqtXB1dUV2djb0ej3kcjmefvpphIWFwdbWFsBfcwQGrzqOUq2+2vPnntIg5+dtsHH3hffL6yp9n51SjsMzBgibQ8DbBHSPzZs3Q6/XY/LkyaKjEBEZnbOzMyZMmIB9+/bh1q1bWL16NbKysqDX/3Wh1+v12LdvH0aPHo3y8nIAwJzdcdDW4LaANi8Duad3QGZT/f4KWr2EObvjHu6HqQcsA1ZAq9Xi888/R0hICB555BHRcYiI6pWrqysaNWp03+JFkiThwIED6N+/P67czkdUYkaN5ghkR26GnXdb2Hr5V/tenV5CVGIGEtPz65y/PrAMWIEffvgBycnJnDhIRFbr4MGD9/y7QYMGaNWqFR599FEMGDAA26OToZBXv2ZBSfJ5FF0+icZP1nyUVSGX4dtfTHvugOkum0QGs2bNGvTt2xfdu3cXHYWISIj33nsPQ4cORatWreDn5wcvL697FiwasDyy2lEBSa9DVsQXaNhlKGw9WtT4u3V6CZEJ6ViAjnWNb3QsAxbu/PnziIyMxPfffy86ChGRMJ06dUKnTp0eeKygVIvkrKJqz1Hw+wFo8+7A89mPa/39yZlFKCzVmuzSxbxNYOHWrFkDb29vBAUFiY5CRGSSrmcWorqZArriPOREbUejviooHFxq/R0SgGuZhXXKVx9YBixYdnY2tm3bhilTpsDGxkZ0HCIik1RWg0cJc37eBrl9Qzj1eMao3yOKaY5XkEFs3rwZOp2OjxMSEVXBVln138XlWTdREPMTGj/5CnT5WRWvS7pySHodtDm3IbNzgMK+6k2KqvsekVgGLJROp8Pnn38OlUoFT09P0XGIiExWCzdHyIBKbxXo8jMBSY/sw18i+/CX9x2/+cVLcOoxEq6DK//DS/a/7zFVLAMWat++fbh27Rp27NghOgoRkUlztFPC19UB1yuZRGjzSHM8Mub+lVtzft4GfVkxXAdPhrJRkyq/w9fNwWQnDwIsAxZrzZo16N27N3r27Ck6ChGRyQto64Ft0dcf+HihwsEFDm363Pd63tm9APDAY/d8Xi5DQBsPwwQ1EtO9gUF1dvHiRRw5coSLDBER1dD4Xr613qGwpnR6Cc/1Fr+dcVU4MmCB1qxZAy8vL4wdO1Z0FCIis9Da0wn9/N1xKimzxqXAa/zSat+jkMvQ188N/h5VTy4UjSMDFiYnJwfffPMNpkyZUrETFxERVW9JYCcoa7AkcW0o5TIsCXzwYkemhGXAwmzZsgXl5eV49dVXRUchIjIrPq4OWDjSsEsGLxrZUdj2xbXBMmBB7j5OGBwcDC8vL9FxiIjMTkhPX7wztI1BzjVraFuoepr2XIG7OGfAghw4cABJSUn47rvvREchIjJbUwNaw72hHeaHX4BWL9VqYqFCLoNSLsOikR3NpggAgEz65wbPD5CXlwcXFxfk5ubC2dm5PnJRHQwdOhQ5OTk4c+aM6ChERGYvJasIc3bHISoxAwq5rMpScPd4P393LAnsZDK3Bmp6/ebIgIW4dOkSIiIisG3bNtFRiIgsgo+rA7a91AtXbudje3QyIhPSkZxZdM9KhTL8taBQQBsPPNfb1+SfGqgMRwYsxBtvvIGwsDAkJyfDzs5OdBwiIotUWKrFtcxClGn1sFXK0cLN0aRXFuTIgBXJzc3F1q1bMXPmTBYBIiIjcrRToqN37bcwNnV8msACfP311ygtLeXjhEREVCcsA2ZOr9dj7dq1GDt2LLy9vUXHISIiM8TbBGbu4MGDSExMxDfffCM6ChERmSmWATNR2aSV1atXo3v37ujdu7foiEREZKZYBkxYxeMs8elIzrr/cRZvF1tc0jXHnFcnQCYz7HraRERkPfhooQmqzUIXMkiQIDO5hS6IiEi8ml6/OYHQxKjPJmPwquM4lZQJANUugynhrxGBU0mZGLzqONRnk42ekYiILAtvE5iQtZFXsOJQQp0+q/vf+tnv74pDRkEppga0NnA6IiKyVBwZMBHqs8l1LgL/tOJQAjQcISAiohriyIAJSMkqwvzwCw88VnbnOnJPfIeyW4nQFeZAZmMHGzcfOPcaA4fWvSo954fhF9C3lTvnEBARUbU4MmAC5uyOg7aSuQG6vHToy4rh2OlJNB78Clz6qgAAd3Z+hPyYg5WeU6uXMGd3nFHyEhGRZeHIgGBXbucjKjGj0uP2rXrCvlXPe15z6j4CaV+/hbwze+DU9d8P/JxOLyEqMQOJ6flmu4sWERHVD44MCLY9OhkKee3WCJDJFVA6uUNfWlDl+xRyGb79hXMHiIioaiwDgkXGp1f7+CAA6MtKoCvKRXl2GvLO7EFx0q9o0LxLlZ/R6SVEJqQbKioREVko3iYQqKBUi+Ssohq9N/voJhTcnSMgk8OhTR+4Dn2t2s8lZxahsFRr0vttExGRWLxCCHQ9sxDVjwn8xbnnKDi0ewK6/EwUXT4BSdIDuvJqPycBuJZZaJH7bxMRkWHwNoFAZVp9jd9r4+YD+xZd0bDTk/AYNx9SWQnSwxahBqtJ1+p7iIjI+rAMCGSrrPv//A7tHkdZ2hVos24a9XuIiMjy8SohUAs3R9R1r0GpvBQAoC8trPJ9sv99DxERUWVYBgRytFPCt5oVAnWFOfe9Jum0KDx/FDKlHWzcfav8vK+bAycPEhFRlXiVECygrQe2RV+v9PHCzINrIZUVwc7nUSic3KAryEbhxWPQZt5A40EvQW5rX+m5FXIZAtp4GCs6ERFZCJYBwcb38sXXp69VetyxfT8UxEYg//cfoS/Oh9zWHrZe/mg88IUq9yYA/lpn4LneVY8cEBERsQwI1trTCf383XEqKfOBowOOHQbAscOAWp9XIZehr58blyImIqJqcc6ACVgS2AnKWi5JXB2lXIYlgZ0Mek4iIrJMLAMmwMfVAQtHdjToOReN7Mjti4mIqEZYBkxESE9fvDO0jUHONWtoW6h6cq4AERHVDOcMmJCpAa3h3tAO88MvQKuXarSB0V0KuQxKuQyLRnZkESAiolrhyICJCenpi8MzBqCvnxsAVLu98d3jff3ccHjGABYBIiKqNY4MmCAfVwdse6kXrtzOx/boZEQmpCM5s+ieTY1k+GtBoYA2Hniuty+fGiAiojqTSTXY6SYvLw8uLi7Izc2Fs7NzfeSifygs1eJaZiHKtHrYKuVo4ebIlQWJiKhKNb1+82piJhztlNyGmIiIjIJzBoiIiKwcywAREZGVYxkgIiKyciwDREREVo5lgIiIyMqxDBAREVk5lgEiIiIrxzJARERk5VgGiIiIrBzLABERkZVjGSAiIrJyLANERERWjmWAiIjIyrEMEBERWTmWASIiIivHMkBERGTllDV5kyRJAIC8vDyjhiEiIiLDuXvdvnsdr0yNykB+fj4AwMfH5yFjERERUX3Lz8+Hi4tLpcdlUnV1AYBer0dqaiqcnJwgk8kMGpCIiIiMQ5Ik5Ofnw9vbG3J55TMDalQGiIiIyHJxAiEREZGVYxkgIiKyciwDREREVo5lgIiIyMqxDBAREVk5lgEiIiIrxzJARERk5f4fhmprQ6acNXcAAAAASUVORK5CYII=\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "DG2=nx.DiGraph()\n",
        "DG2.add_weighted_edges_from([(1,2,0.5), (3,1,0.75), (1,4,0.1)])\n",
        "print(DG2.edges())\n",
        "for n in DG2:\n",
        "    print(n, DG2[n])\n",
        "\n",
        "pos=nx.spring_layout(DG2)\n",
        "nx.draw_networkx(DG2,pos)\n",
        "weights = nx.get_edge_attributes(DG2,'weight')\n",
        "nx.draw_networkx_edge_labels(DG2, pos, edge_labels=weights)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-HCqfbwSHhD8"
      },
      "source": [
        "You can transform a directed graph into an undirected on using **to_undirected()**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 108,
      "metadata": {
        "id": "XcmczxaFHhD9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 493
        },
        "outputId": "87a67285-5a3d-4cd6-f104-278f98839d1f"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[(1, 2), (1, 4), (1, 3), (2, 4), (3, 4)]\n",
            "1 {2: {}, 4: {}, 3: {}}\n",
            "2 {1: {}, 4: {}}\n",
            "3 {1: {}, 4: {}}\n",
            "4 {1: {}, 2: {}, 3: {}}\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "UG1 = DG1.to_undirected()\n",
        "print(UG1.edges())\n",
        "for n in UG1:\n",
        "    print(n, UG1[n])\n",
        "nx.draw_networkx(UG1)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 109,
      "metadata": {
        "id": "ZGtx1MQ3HhD9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 493
        },
        "outputId": "abc136b9-2731-4651-8afa-7b4b2d7f81fb"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[(1, 2), (1, 4), (1, 3)]\n",
            "1 {2: {'weight': 0.5}, 4: {'weight': 0.1}, 3: {'weight': 0.75}}\n",
            "2 {1: {'weight': 0.5}}\n",
            "3 {1: {'weight': 0.75}}\n",
            "4 {1: {'weight': 0.1}}\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "UG2 = DG2.to_undirected()\n",
        "print(UG2.edges())\n",
        "for n in UG2:\n",
        "    print(n, UG2[n])\n",
        "nx.draw_networkx(UG2)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dENlVYB-HhD-"
      },
      "source": [
        "### Graph Operations ###\n",
        "\n",
        "Some common graph [functions](https://networkx.org/documentation/stable/reference/functions.html) and [algorithms](https://networkx.org/documentation/stable/reference/algorithms/index.html) are already implemented in networkx library."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3cxMkietHhD-"
      },
      "source": [
        "Neighbors, degrees and adjancency matrix"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 110,
      "metadata": {
        "id": "DdQSnsGFHhD-",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "outputId": "70e0cdbf-ec6a-45e8-b295-93851dee9543"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "nx.draw_networkx(G)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 111,
      "metadata": {
        "id": "g98AE9bOHhD-",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "2f374cd9-ebb0-4eeb-c5c9-916d7c687867"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<Compressed Sparse Row sparse array of dtype 'int64'\n",
            "\twith 10 stored elements and shape (6, 6)>\n",
            "  Coords\tValues\n",
            "  (0, 1)\t1\n",
            "  (0, 2)\t1\n",
            "  (0, 3)\t1\n",
            "  (1, 0)\t1\n",
            "  (2, 0)\t1\n",
            "  (3, 0)\t1\n",
            "  (3, 4)\t1\n",
            "  (3, 5)\t1\n",
            "  (4, 3)\t1\n",
            "  (5, 3)\t1\n",
            "<class 'scipy.sparse._csr.csr_array'>\n"
          ]
        }
      ],
      "source": [
        "A = nx.adjacency_matrix(G)\n",
        "print(A)\n",
        "#the adjacency matrix is stored in what form?\n",
        "print(type(A))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 113,
      "metadata": {
        "id": "qILDs1nSHhD_",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "680b1aef-7ffa-4759-ff20-b9dd44ade7c6"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<dict_keyiterator object at 0x79f498582750>\n",
            "[2, 3, 'Alice']\n",
            "2\n",
            "3\n",
            "Alice\n",
            "degree of 1: 3\n"
          ]
        }
      ],
      "source": [
        "print(G.neighbors(1)) # returns the neighbors of a node\n",
        "print(list(G.neighbors(1)))\n",
        "for x in G.neighbors(1):\n",
        "    print(x)\n",
        "print('degree of 1:',G.degree(1)) # returns the degree of a node"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 114,
      "metadata": {
        "id": "qlS88w-FHhD_",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "ba3601a8-85ec-470f-c5dc-0b4c5ddfca12"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{2: {'weight': 0.1}, 4: {'weight': 0.7}}\n",
            "0.7999999999999999\n",
            "2\n"
          ]
        }
      ],
      "source": [
        "print(G4[3])\n",
        "print(G4.degree(3, weight='weight'))\n",
        "print(G4.degree(3))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "uncT2H_MHhEA"
      },
      "source": [
        "Neighbors and degrees for directed or weighted graphs"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 115,
      "metadata": {
        "id": "YXOuP0xzHhEA",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 458
        },
        "outputId": "745555f4-9d50-4497-f85d-6bed6fbef3e4"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{(1, 2): Text(0.4553499153393157, -0.12538122225859266, '0.5'),\n",
              " (1, 4): Text(-0.4106164845305629, 0.0031558337102361167, '0.1'),\n",
              " (3, 1): Text(0.13402600186585478, 0.025139026753162014, '0.75')}"
            ]
          },
          "metadata": {},
          "execution_count": 115
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "pos=nx.spring_layout(DG2)\n",
        "nx.draw_networkx(DG2,pos)\n",
        "weights = nx.get_edge_attributes(DG2,'weight')\n",
        "nx.draw_networkx_edge_labels(DG2, pos, edge_labels=weights)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 116,
      "metadata": {
        "id": "qZCCfytbHhEA",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "fd3e6e10-3f0e-4cc8-cbd4-45b59c6946a7"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[2, 4]\n",
            "[2, 4]\n",
            "[3]\n",
            "2\n",
            "1\n",
            "0.6\n"
          ]
        }
      ],
      "source": [
        "print(list(DG2.successors(1)))\n",
        "print(list(DG2.neighbors(1)))\n",
        "print(list(DG2.predecessors(1)))\n",
        "print(DG2.out_degree(1))\n",
        "print(DG2.in_degree(1))\n",
        "print(DG2.out_degree(1,weight='weight'))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wQZxmniDHhEB"
      },
      "source": [
        "### Connected components"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 117,
      "metadata": {
        "id": "0uW8GpNXHhEC",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "outputId": "ec15a33b-3e2e-412f-aa15-63bc5cb6e1a0"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "G5 = nx.Graph()\n",
        "G5.add_edges_from([(1,2),(1,3),(1,4),(2,3),('Alice','Bob'),('Bob','Charlie'),('Alice','Charlie')])\n",
        "nx.draw_networkx(G5)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 118,
      "metadata": {
        "id": "5V4y5KRRHhED",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "d5e3c771-87d1-47e3-99ff-2715d6f49a4e"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<class 'generator'>\n",
            "{1, 2, 3, 4}\n",
            "{'Alice', 'Bob', 'Charlie'}\n"
          ]
        }
      ],
      "source": [
        "C = nx.connected_components(G5)\n",
        "print(type(C))\n",
        "for c in C:\n",
        "    print(c)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "U2SH82wqHhED"
      },
      "source": [
        "Get the connected component subgraphs"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 119,
      "metadata": {
        "id": "CBbWj5W2HhED",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "547eeebc-c6b7-47b3-bab3-abbab2db456a"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Connected Component\n",
            "[1, 2, 3, 4]\n",
            "[(1, 2), (1, 3), (1, 4), (2, 3)]\n",
            "4\n",
            "Connected Component\n",
            "['Alice', 'Bob', 'Charlie']\n",
            "[('Alice', 'Bob'), ('Alice', 'Charlie'), ('Bob', 'Charlie')]\n",
            "3\n"
          ]
        }
      ],
      "source": [
        "connected_subgraphs = [nx.subgraph(G5,c) for c in nx.connected_components(G5)]\n",
        "for GC in connected_subgraphs:\n",
        "    print('Connected Component')\n",
        "    print(GC.nodes())\n",
        "    print(GC.edges())\n",
        "    print(len(GC))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "uLhPA9oAHhEE"
      },
      "source": [
        "Get the largest connected component"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 120,
      "metadata": {
        "id": "3HKILsR_HhEE",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "eb3115e7-ca54-4cdf-bbff-fba133bd0e38"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{1, 2, 3, 4}\n"
          ]
        }
      ],
      "source": [
        "# Get the nodes\n",
        "\n",
        "largest_cc = max(nx.connected_components(G5), key=len)\n",
        "print(largest_cc)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 121,
      "metadata": {
        "id": "_nHiDZmJHhEE",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 423
        },
        "outputId": "caec57d7-136e-4c54-a903-417992634deb"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{1, 2, 3, 4}\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "#Get the subgraph\n",
        "\n",
        "largest_cc = max(nx.connected_components(G5), key=len)\n",
        "print(largest_cc)\n",
        "CC_max = nx.subgraph(G5,largest_cc)\n",
        "nx.draw_networkx(CC_max)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FoDT7X1dHhEE"
      },
      "source": [
        "#### Strongly Connected Components"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 122,
      "metadata": {
        "id": "h-vPDZY7HhEF",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "outputId": "75116012-803b-4f9d-94d7-ce8f6cc357cf"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "DG = nx.DiGraph()\n",
        "DG.add_edges_from([(1,2),(2,3),(3,4),(4,2),(4,3),(4,5)])\n",
        "nx.draw_networkx(DG)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 123,
      "metadata": {
        "id": "m2_8n2i2HhEF",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "outputId": "24319266-25a4-4189-dccd-d789016e44a4"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "largest_SCC = max(nx.strongly_connected_components(DG), key=len)\n",
        "#print(largest_SCC)\n",
        "SCC_max = nx.subgraph(DG,largest_SCC)\n",
        "nx.draw_networkx(SCC_max)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "CyrvQQBRHhEF"
      },
      "source": [
        "### Shortest paths"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 124,
      "metadata": {
        "id": "QgheVKN4HhEF",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 458
        },
        "outputId": "819513dc-7cf3-433b-83c7-071f686cdc32"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[3, 1, 'Alice', 'Bob']\n",
            "3\n",
            "3\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "G6 = nx.Graph()\n",
        "G6.add_edges_from([(1,2),(1,3),(1,4),(2,3),(1,'Alice'),('Alice','Bob'),('Alice','Charlie'),('Bob','Charlie')])\n",
        "nx.draw_networkx(G6)\n",
        "sp = nx.shortest_path(G6,3,'Bob')\n",
        "print(sp)\n",
        "print(len(sp)-1)\n",
        "print(nx.shortest_path_length(G6,3,'Bob'))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 125,
      "metadata": {
        "id": "q86039ooHhEF",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "89e9eafa-71d0-43d0-cf3c-e8d84c5f8e08"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{1: [1], 2: [1, 2], 3: [1, 3], 4: [1, 4], 'Alice': [1, 'Alice'], 'Bob': [1, 'Alice', 'Bob'], 'Charlie': [1, 'Alice', 'Charlie']}\n"
          ]
        }
      ],
      "source": [
        "SP1 = nx.single_source_shortest_path(G6,1)\n",
        "print(SP1)\n",
        "#print(nx.single_source_shortest_path_length(G3,'1'))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 126,
      "metadata": {
        "id": "Y2-1WxVxHhEG",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "f3c8f5fd-8a7e-4c63-d333-78576c766008"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<class 'generator'>\n",
            "{1: {1: [1], 2: [1, 2], 3: [1, 3], 4: [1, 4], 'Alice': [1, 'Alice'], 'Bob': [1, 'Alice', 'Bob'], 'Charlie': [1, 'Alice', 'Charlie']}, 2: {2: [2], 1: [2, 1], 3: [2, 3], 4: [2, 1, 4], 'Alice': [2, 1, 'Alice'], 'Bob': [2, 1, 'Alice', 'Bob'], 'Charlie': [2, 1, 'Alice', 'Charlie']}, 3: {3: [3], 1: [3, 1], 2: [3, 2], 4: [3, 1, 4], 'Alice': [3, 1, 'Alice'], 'Bob': [3, 1, 'Alice', 'Bob'], 'Charlie': [3, 1, 'Alice', 'Charlie']}, 4: {4: [4], 1: [4, 1], 2: [4, 1, 2], 3: [4, 1, 3], 'Alice': [4, 1, 'Alice'], 'Bob': [4, 1, 'Alice', 'Bob'], 'Charlie': [4, 1, 'Alice', 'Charlie']}, 'Alice': {'Alice': ['Alice'], 1: ['Alice', 1], 'Bob': ['Alice', 'Bob'], 'Charlie': ['Alice', 'Charlie'], 2: ['Alice', 1, 2], 3: ['Alice', 1, 3], 4: ['Alice', 1, 4]}, 'Bob': {'Bob': ['Bob'], 'Alice': ['Bob', 'Alice'], 'Charlie': ['Bob', 'Charlie'], 1: ['Bob', 'Alice', 1], 2: ['Bob', 'Alice', 1, 2], 3: ['Bob', 'Alice', 1, 3], 4: ['Bob', 'Alice', 1, 4]}, 'Charlie': {'Charlie': ['Charlie'], 'Alice': ['Charlie', 'Alice'], 'Bob': ['Charlie', 'Bob'], 1: ['Charlie', 'Alice', 1], 2: ['Charlie', 'Alice', 1, 2], 3: ['Charlie', 'Alice', 1, 3], 4: ['Charlie', 'Alice', 1, 4]}}\n"
          ]
        }
      ],
      "source": [
        "SP = nx.all_pairs_shortest_path(G6)\n",
        "print(type(SP))\n",
        "SP = dict(SP)\n",
        "print(dict(SP))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 127,
      "metadata": {
        "id": "KYqgQcb5HhEG",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "32bfd9f7-a0d1-497c-9902-e68e9107285a"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1, 'Alice', 'Bob']\n",
            "[1, 'Alice', 'Bob']\n"
          ]
        }
      ],
      "source": [
        "print(SP1['Bob'])\n",
        "print(SP[1]['Bob'])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "SVo1YvLkHhEH"
      },
      "source": [
        "### Link Analysis\n",
        "\n",
        "https://networkx.github.io/documentation/stable/reference/algorithms/link_analysis.html"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 128,
      "metadata": {
        "id": "qiizqD7iHhEH",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "outputId": "74fb8c46-5a08-4797-b493-293c6ebd724c"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "DG2 = nx.DiGraph()\n",
        "DG2.add_edges_from([(1,2),(1,3),(3,2),(2,5),(4,1),(4,2),(4,3),(5,1),(5,4)])\n",
        "nx.draw_networkx(DG2)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "_Jc7pVJ1HhEH"
      },
      "source": [
        "### Pagerank\n",
        "\n",
        "The result of the Pagerank algorithm is a dictionary with the node ids as keys, and the pagerank values as values."
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        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)"
      ],
      "metadata": {
        "id": "Qi0FeFAy7DC7"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        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)"
      ],
      "metadata": {
        "id": "GQUpL8SPwar6"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 129,
      "metadata": {
        "id": "GKweDyboHhEH",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "1acb403a-2507-4977-9663-d443f256277c"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{1: 0.18064505060873784, 2: 0.27131643087724033, 3: 0.14665711544131713, 5: 0.26061906832422166, 4: 0.140762334748483}\n",
            "\n",
            "\n",
            "{1: 0.2420308196543696, 2: 0.12671382905463274, 3: 0.12671382905463274, 4: 0.07286059991932929, 'Alice': 0.17987731223897474, 'Bob': 0.12590180503903042, 'Charlie': 0.12590180503903042}\n"
          ]
        }
      ],
      "source": [
        "pr = nx.pagerank(DG2)\n",
        "print(pr)\n",
        "print('\\n')\n",
        "pr = nx.pagerank(G6)\n",
        "print(pr)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "p_jv9pL-HhEI"
      },
      "source": [
        "### HITS"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        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)"
      ],
      "metadata": {
        "id": "hAzE0a9ixSSk"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "The HITS Update Equations\n",
        "\n",
        "While PageRank calculates a single score, HITS calculates two scores for every node that reinforce each other.\n",
        "\n",
        "1. The Authority Update ($a$)\n",
        "* \"I am an authority if important hubs point to me.\"\n",
        "* Mathematically: We look at all pages pointing **IN** to us, grab their **Hub Scores**, and sum them up.\n",
        "\n",
        "$$a(p) = \\sum_{q \\rightarrow p} h(q)$$\n",
        "\n",
        "2. The Hub Update ($h$)\n",
        "* \"I am a good hub if I point to important authorities.\"\n",
        "* Mathematically: We look at all pages we point **OUT** to, grab their **Authority Scores**, and sum them up.\n",
        "\n",
        "$$h(p) = \\sum_{p \\rightarrow q} a(q)$$\n",
        "\n",
        "3. Normalization step\n",
        "* Because we are just summing numbers, $a$ and $h$ would grow to infinity.\n",
        "* After every update step, we **normalize** the scores (scale them down so the sum of squares equals 1)."
      ],
      "metadata": {
        "id": "AMfL7DsY79Gr"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "![image.png](data:image/png;base64,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)"
      ],
      "metadata": {
        "id": "_G3bv_OH79b5"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 130,
      "metadata": {
        "id": "hB9G2zwhHhEI",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "dc11ab8d-eec2-4e52-c732-57c175291589"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{1: 0.30284190939588385, 2: -0.0, 3: 0.1674519926867133, 5: 0.1254412261267392, 4: 0.4042648717906636}\n",
            "{1: 0.23681287910395038, 2: 0.39098432508292874, 3: 0.31612245610361867, 5: -0.0, 4: 0.05608033970950219}\n",
            "0.39098432508292874\n"
          ]
        }
      ],
      "source": [
        "[h,a] = nx.hits(DG2)\n",
        "print(h)\n",
        "print(a)\n",
        "print(a[2])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "inVVAg0oHhEI"
      },
      "source": [
        "### Personalized Pagerank ###\n",
        "\n",
        "We will see the example we presented in class"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "**\"The Homesick Surfer\"**\n",
        "\n",
        "To understand Personalized PageRank, just tweak the \"Random Surfer\" story slightly.\n",
        "\n",
        "Standard PageRank: The surfer clicks links. When they get bored (based on the damping factor), they close the tab and open a random page from the whole web.\n",
        "\n",
        "Personalized PageRank: The surfer clicks links. When they get bored, they don't open a random page. They hit the \"Home\" button to go back to a specific page (e.g., Node '1').\n",
        "\n",
        "This biases the entire score calculation: The result isn't \"which nodes are important globally,\" but rather \"which nodes are important relative to Node 1.\""
      ],
      "metadata": {
        "id": "ckNxJWRG-lBk"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 131,
      "metadata": {
        "id": "P2jEfzSlHhEI",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "outputId": "6e25acd2-3c5b-4da7-d32b-c32da78cd38b"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "G7 = nx.read_edgelist('graph-example.txt')\n",
        "nx.draw_networkx(G7)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lJTOFhOUHhEJ"
      },
      "source": [
        "To define the personalized Pagerank, we will use the \"personalization\" parameter, were we define the jump vector as a dictionary, with node ids as the keys, and the jump probability to each node as the values"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 132,
      "metadata": {
        "id": "xR2hgzWmHhEJ",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "1280ddee-4005-4fa8-cd40-55652cde9895"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{'1': 0.12755099866537586, '2': 0.18232887836414127, '3': 0.2394858218322733, '4': 0.18433868256410274, '5': 0.1326787034099837, '6': 0.13361691516412283}\n",
            "{'1': 0.2583391334031776, '2': 0.20094608623757965, '3': 0.24190126489812175, '4': 0.14028792201015408, '5': 0.0833530743914921, '6': 0.07517251905947459}\n",
            "{'1': 0.07517273333798744, '2': 0.12532699696556127, '3': 0.1866533325726192, '4': 0.18958031704255388, '5': 0.15407113246217508, '6': 0.26919548761910295}\n"
          ]
        }
      ],
      "source": [
        "print(nx.pagerank(G7))\n",
        "print(nx.pagerank(G7, personalization = {'1':1}))\n",
        "print(nx.pagerank(G7, personalization = {'6':1}))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Yzojvp4iHhEJ"
      },
      "source": [
        "We will now change the jump probability. To change the jump probability we will set the parameter alpha.\n",
        "\n",
        "**Attention:** The parameter alpha is not the jump probability as we have described in class, but the probability of following an out-link. The jump probability is 1-alpha."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 133,
      "metadata": {
        "id": "vAEtxOMnHhEJ",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "13ca2d98-d593-4ee2-8ed4-719954839269"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{'1': 0.1390335398088414, '2': 0.1741686298166486, '3': 0.2133752383994728, '4': 0.17643097727782997, '5': 0.14740281022602297, '6': 0.14958880447118414}\n",
            "{'1': 0.5510064790190851, '2': 0.16964493982349704, '3': 0.18185949066208873, '4': 0.054964764048023335, '5': 0.026690643658381363, '6': 0.015833682788924434}\n",
            "{'1': 0.015833407896886878, '2': 0.039357701756408944, '3': 0.07419162031220411, '4': 0.15675161523961573, '5': 0.150192049257395, '6': 0.5636736055374894}\n"
          ]
        }
      ],
      "source": [
        "print(nx.pagerank(G7, alpha = 0.5))\n",
        "print(nx.pagerank(G7, alpha = 0.5, personalization = {'1':1}))\n",
        "print(nx.pagerank(G7, alpha = 0.5, personalization = {'6':1}))"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Edge Betweenness\n",
        "\n",
        "`nx.edge_betweenness_centrality(G)` finds the \"bridges\" in your network.\n",
        "\n",
        "How it works:\n",
        "1.  The algorithm finds the **shortest path** between every pair of nodes in the graph.\n",
        "2.  It counts how many of those shortest paths pass through each edge.\n",
        "3.  Edges with high counts are critical \"bottlenecks.\"\n",
        "\n",
        "### Why is this useful?\n",
        "* **Community Detection:** If you remove edges with the highest betweenness, the graph often breaks apart into natural clusters or communities (The Girvan-Newman algorithm).\n",
        "* **Vulnerability Analysis:** It identifies the \"weakest link\" in a network. If this edge fails (e.g., a power line snaps), the network suffers the most damage.\n",
        "\n",
        "### Interpreting the Output:\n",
        "The output is a dictionary where:\n",
        "* **Key:** The edge tuple `(u, v)`\n",
        "* **Value:** A number between 0 and 1 indicating the centrality score."
      ],
      "metadata": {
        "id": "6KHEvpP0_zwA"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 134,
      "metadata": {
        "id": "hd0-VZPVHhEK",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "a4a9a7c0-736d-48b2-bfc0-48d647e399f6"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{(1, 2): 0.23809523809523808, (1, 3): 0.23809523809523808, (1, 4): 0.2857142857142857, (1, 'Alice'): 0.5714285714285714, (2, 3): 0.047619047619047616, ('Alice', 'Bob'): 0.23809523809523808, ('Alice', 'Charlie'): 0.23809523809523808, ('Bob', 'Charlie'): 0.047619047619047616}\n"
          ]
        }
      ],
      "source": [
        "BC = nx.edge_betweenness_centrality(G6)\n",
        "print(BC)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "collapsed": true,
        "id": "nYv04MjfHhEK"
      },
      "source": [
        "### Drawing Graphs ###\n",
        "\n",
        "https://networkx.org/documentation/stable/reference/drawing.html"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 135,
      "metadata": {
        "id": "4gVBO5wKHhEL",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "outputId": "44fbc49d-027e-4d57-c304-703faa796521"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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Vjz32GH799Vf87yebIEHDQUBXXQmtuhg1t3JQotqKiovH4NSxT73vsYbjjOWOTbpD4vk8o9Ja2YlfoSm5Cf/pxt8qpNUJSLyQh7fQqzklEpGFOX/+PB544AEEBQVhx44dcHNzE7sksmCqq+UQ0PBJ5629X6GstkdAIoVLtyHwHvVMve+xhuOMxYeBsioNsoxovtBWlKAoKR6tIqZC5tK4Z2JnFahRXqWx6JGSRGS8y5cvIyYmBr6+vti9ezfn2FO9jD3OAIBH2ES49BgGbWkB1OcOQhB0gLbhRy5b+nHG4i8TXCkoN2LhBig6EAepsxvcB45v9GcIAC4XlDf6fURkebKzszFy5EgoFArs2bMHvr6+YpdEFs7Y4wwAOPgEwDmoL9xCRsLv0UUQqiuR9+PiBh+1bOnHGYsPA9UaXYPb1BReR9nJ3+A+YAK0pYXQFOVCU5QLQVsDQaeFpigX2or6mzeM+Rwismz5+fl44IEHUF1djYSEBLRr107sksgKNOfnv0uPoajOyYCm8LpZP8fcLHO94g6O8obzira0ABB0uJXwBW4lfHHX69dXzYL7wAnwjqn7DgNjPoeILFdRURFGjRqF/Px8HDhwAEFBQWKXRFaguroaZ9ONG2Z3L0JNFQBAV9XwWb8lH2csPgwE+bhCAtS7hOPQuiNaP/x/d3296EAcdNUV8I6ZDXmrtnW+XxAEjBsRjiED+2Pw4MEYMmQI+vTp06KPxSSipisvL8fYsWNx+fJl7Nu3D927dxe7JLJQZWVlSE5ORlJSEpKSknDkyBFUaYGAl36odzS1trwIMtdWBl8TtBqUn94LiVwBB9/6pwxKcPt4ZqksPgy4KuQI9HbBlXqaO2QunnDpNuSur5ek/AwA93ztTr4KAcPHjcGRI0fw008/obq6GgqFAgMGDNCHg8GDB6NDhw7N+2aIyOQqKysxceJEpKam4vfff0doaKjYJZEFKSgowMGDB3HgwAEkJSXh+PHj0Gq18PHxQWRkJN59911ERUXhpcQSZBVW1L2fXSshVKuhCOgNmbsPtGW3UH5mHzQF1+B1/yxIHZ3rrSPQx8VimwcBKwgDABDd3Q9xyiuNGgZhLJlUgvEDOuOtCbcbD6uqqnDy5EkcOXJEHw4++ugjAED79u0xePBgfUDo378/nJ3r/wtAROZTU1ODKVOm4NChQ9i1axcGDRokdkkksqtXr+rP+pOSkpCefnu8cEBAAKKiojBr1ixERkaiR48eBiOp789Or/c449ozEmWpe1B6Yid0FaWQOjrDsU0wvEY8Ue+zCYDbx5nobn6m+ybNwCrGEWfkluKBjw+Ybf8JL0Yh2M+9ztdzcnKgVCr1ASElJQVqtRpyuRx9+/Y1WD3o1KkTn4JG1AK0Wi1mzJiBzZs3Y9u2bRg9erTYJVELEwQBFy5cQFJSkv7M//LlywCAHj16IDIyEpGRkYiKikLHjh3r3ZfYxxlzMfb4bRUrA1393REZ7Gv0swmMVTszuqE/oLZt22LSpEmYNGkSAECj0SAtLU0fDn777TesXLkSANC6dWuDcBAWFsZhJ0QmptPpMHv2bPz444/YtGkTg4Cd0Gq1SE1N1R/4k5KSkJeXB6lUir59+2LixImIiorCsGHD4OfXuDNxsY8zYrOKlQHg9tOkYpbvR5UJb81QyKVIeHE4Arxdmr2vgoIC/epBcnIylEolSktLIZVK0bt3b4OA0K1bNz4xjaiJBEHACy+8gBUrVmDdunWYOXOm2CWRmVRVVSElJUV/5n/48GGUlJTA0dER4eHh+jP/iIgIkxybLP040xTGHr+tJgwAdT9nuqnM+ZxprVaLc+fO6VcPkpOTcebMGQiCgFatWiE8PFwfDgYNGgQvLy+z1EFka/75z3/i3XffxapVqzBnzhyxyyETKi0tRXJysv7MX6lUoqqqCu7u7oiIiNAv+YeFhZntORPWdJwxhk2GAQBYmZiBZbsvNHs/r4zqjmejg01QkfGKi4uRkpKiDwdHjhxBYWEhgNvXt2rDweDBg9GrVy/IZLIWrY/I0r3//vt47bXX8OGHH+Lll18Wuxxqpps3b+LgwYP6M/+TJ09Cq9XC19cXUVFR+jP/Pn36QC5vuava1nyc+SubDQPA7eS2aFs6NDqhUdd2ZFIJ5FIJFk/oJWpSqyUIAjIzMw3CQWpqKrRaLdzc3DBo0CB9OAgPD2/0NTAiW7Jy5UrMnz8fixYtwltvvSV2OdQEWVlZBs1+Z8+eBQB07NjRoNmve/fuojdi28pxxqbDAHD72s7rW9KQlJkPmVRS7x9W7euRwb5YMjlEtGs3xigvL8exY8f04SA5ORm5ubkAgM6dOxusHvTp04fPZie7sHbtWjz55JN46aWXsGzZMtEPFNQwQRBw/vx5/YH/wIEDyMq6/Rjfnj176g/8kZGRCAwU/6B5L7ZwnLH5MFArI7cU8cosJF7IQ1aB2mBSoQS3Bz1Ed/PDzMGBFt/NeS+CICArK0sfDo4cOYLjx4+jpqYGTk5OGDhwoD4cDB48GO3btxe7ZCKT2rRpE6ZPn46nn34an3/+OYOAhdJoNDh16pT+wH/w4EHcvHkTUqkU/fv315/5Dxs2DK1btxa73Eax5uOM3YSBO5VXaXC5oBzVGh0c5VIE+bha9MSnpqqsrMTJkycNAkJt4u7QoYPB6kH//v3N1mhDZG6//PILJk+ejKlTp2LdunW8C8eCVFZWIiUlRX/mf/jwYZSWlkKhUCA8PFx/1j9kyBC4u1vWAbI5rO04Y5dhwJ5lZ2frg8GRI0dw9OhRVFRUwMHBAf369TNYPQgKCuLZFVm8vXv3YsyYMRgzZgw2bdrUog1kdLeSkhIcPnxYf+avUqlQXV0NDw8PDB06VH/mHxYWBoVCIXa59F8MA3aupqYGqampBgEhMzMTAODv728QDsLCwuDqarkP0CD7k5ycjAceeADDhg3Dzz//zIOLCPLy8gzG+p48eRI6nQ5+fn4G1/tDQ0N555MFYxigu9y8edNgrLJSqURZWRmkUilCQ0MNAkK3bt24ekCiOHHiBKKjoxEaGopdu3bBxcUyGrFs3ZUrVwya/c6fPw8ACAoKMrjNjz8brAvDADVIq9XizJkzBqsHZ86cAQB4eXkZhIPw8HB4enqKXDHZurNnzyIqKgpBQUH4/fff+fPGTARBwNmzZw1u87t69SoAoFevXgZn/nxaq3VjGKAmKSoqgkqlMggIt27dgkQiQc+ePQ2e2tizZ08uD5LJXLx4EZGRkfD29sa+ffvg4+Mjdkk2Q6PR4MSJEwbL/gUFBZDJZOjfv7/+wD9s2DD+vtsYhgEyCZ1Oh4yMDIOxymlpadDpdHB3d9cPRhoyZAjCw8Ph6+srdslkha5du4bIyEg4ODjgwIEDaNOmjdglWbWKigqoVCr9WX9ycjLKysrg5OSEwYMH68/8Bw8ezAep2TiGATKbsrIyHD161GByYl5eHgAgODjYYPUgJCSEg5GoXnl5eYiKikJFRQWSkpIsdgCNJSsuLsahQ4f0Z/0pKSmorq6Gp6cnhg4dqj/zHzBgAJsx7QzDALUYQRBw+fJlg3Bw4sQJaDQaODs76wcj1c4/aNu2rdglk4UoLCxEdHS0vnM9OFjcOe7WIjc3V3/gP3DgAE6dOgVBEODv72/Q7BcSEsJLeXaOYYBEVVFRgRMnThgEhGvXrgEAAgMDDcJBv379eLZih0pLSxETE4M//vgD+/fvR69evcQuySLVhu3aJf+kpCRcuHD7ITqdO3c2aPYLDg5mpz8ZYBggi3Pt2jUolUp9ODh27BgqKyvh6OioH4xUGxACAwP5Q82GqdVqjBkzBidOnMDevXsxYMAAsUuyGDqdDmfOnDE4879+/ToAoHfv3gZn/hw/Tg1hGCCLV11djdTUVIOxyhcvXgQAtGnTxiAcDBgwgIORbER1dTUmTZqE/fv3Y/fu3Rg6dKjYJYmqpqYGJ06c0J/5Hzx4EIWFhZDL5RgwYID+zH/o0KHw9vYWu1yyMgwDZJXy8vIMVg9UKhXKy8shk8kQGhpq8NwFLolaH41Gg2nTpmH79u3YsWMHYmJixC6pxanVaiiVSv1Zf3JyMtRqNZydnTF48GD9mf/gwYMZgKnZGAbIJmi1WqSnpxusHpw7dw4A4OPjg/DwcH1AGDRoEP9+WjCdTocnnngC8fHx2Lx5MyZMmCB2SS2iqKgIhw4d0p/5Hz16FDU1NWjVqhWGDRumP/Pv378/HB0dxS6XbAzDANmsW7du3TVWuaioCBKJBPfdd5/B6kHPnj35pDsLIAgCnn32WaxatQrx8fGYPn262CWZTU5OjsFwn9TUVAiCgLZt2xo0+/Xu3Zt/N8nsGAbIbuh0Oly4cMFg9eD06dPQ6XTw8PBAeHi4wVhlTlhrWYIg4NVXX8WHH36Ir776CrNmzRK7JJMRBAEXL140GOtb+0Cw4OBgfaNfVFQUOnfuzMta1OIYBsiulZaWIiUlxWByYn5+PgCga9euBqsHISEhfDyuGb3zzjt488038fHHH+P5558Xu5xm0el0SE9PN7jNLzs7GxKJBCEhIQad/pynQZaAYYDoDrVncHc+c+HkyZPQaDRwcXFBWFiYwYOZOA7XNJYvX46XXnoJ//rXv/B///d/YpfTaDU1NTh27Jj+zP/QoUO4desW5HI5wsLC9Af+oUOHwsvLS+xyie7CMEDUALVajePHjxusHmRnZwO4/djWO8NBv3792NzVSKtXr8bs2bPx6quv4r333rOKJXK1Wo0jR44YzPSvqKiAi4sLhgwZol/yDw8P56OVySowDBA1kiAIuHbtmkE4OHbsGKqrq6FQKNC/f3+DgBAQEGAVBzgxbNiwATNnzsS8efOwYsUKi/19unXrFg4ePKg/8z927Bg0Gg28vLz0Z/2RkZHo378/n7FBVolhgMgEqqqqcOrUKYOAcPnyZQBAu3btDMLBgAEDeLYIYOvWrXjkkUcQGxuLNWvWWFTHfHZ2tkGz3+nTpyEIAtq3b2/Q7HffffdZVN1ETcUwQGQmN27c0N/amJycjJSUFKjVasjlcvTp08fgqY3W3kFeXqXB5YJyVGt0cJRLEeTjCldF3c2We/bswbhx4zBhwgR89913ojZmCoKAzMxMg7G+tRMuu3btatDs16lTJ6v+cyKqC8MAUQvRaDQ4ffq0wUOZah8k4+vraxAOwsLC4O7uLnLF9cvILUW8MguJ5/OQVajGnT8gJAACvV0Q3d0PM8ID0dX/z+8lKSkJDz74IKKjo7Fly5YW77HQarU4ffq0wZn/jRs3IJFI0KdPH/1Z/7Bhw9ggSnaDYYBIRAUFBVCpVPpwoFQqUVJSAolEgt69exsEhO7du1vEkvTVQjVe35KGpMx8yKQSaHV1/2iofT0y2BdLJocg9+IZ3H///Rg4cCB27NgBZ2dns9dbXV2NY8eOGcz0Ly4uhoODA8LCwvRn/hEREWjVqpXZ6yGyRAwDRBZEp9Ph3LlzBoOR0tPTIQgCPD099YORhgwZgkGDBrX4A2k2pmRh0bZ0aHRCvSHgr2RSCWQSoGTvV+gk5GD37t1mW/koLy9HcnKy/sxfqVSioqICrq6uiIiI0C/5h4eHt0gYIbIGDANEFq6kpAQpKSkGAaGgoAAA0L17d4OnNvbq1cts199XJmZg2e4LTX6/IAiQSCR4NjIQr4wJMVldhYWFOHjwoP7M/9ixY9BqtfDx8cGwYcP0Z/59+/Zlpz9RHRgGiKyMIAj4448/DMLBqVOnoNVq4erqqh+MNGTIEISHh8Pf37/Zn7kxJQsLN6fd8zVddQVKlJtRlX0e1TkXoKssg8+YF+AWWveTBpc+HIKpYYFNquXatWsGzX7p6ekAgA4dOugP/FFRUejRo4dFXFYhsgYMA0Q2QK1W4+jRowa3Nt64cQMA0KlTJ4PVgz59+jSqae9qoRoxy/ejSqO75+uaolxcXzULMo/WkLdqg6qstAbDgEIuRcKLwxHgXf8tloIgICMjw2Cs76VLlwDcXhW584E+HTt2ZKc/URMxDBDZIEEQkJWVZTBW+fjx4/rBSAMGDDB47kKHDh3q3FfsGiUOXyyos0dA0NRAV1kGmZsXqnIycOPbFxsMAzKpBBGdfRA3K9zg61qtFqmpqQZP88vNzYVUKkWfPn30B/5hw4aZZMWDiG4z9vjNp7MQWRGJRIKOHTuiY8eOmDp1KoDbg5FOnDihDwc//vgj/v3vfwMA2rdvb7B60L9/fzg7OyMjtxRJmfn1f5bcATK3xs3b1+oEJGXm48y1Qty6ctZgpn9JSQkcHR0xaNAgPPnkk4iKisKQIUPg6enZtN8MIjIZhgEiK6dQKPQrAbWys7P1g5GOHDmCN954AxUVFZDL5ejbty/chj8BqUMgdDDD8rugw4in3sDN3z6Dm5sbIiIisGDBAkRGRmLQoEFwcnIy/WcSUbMwDBDZoHbt2mHy5MmYPHkygNtP30tLS9OHgwNVroCDma7DS6RoOzAGv777JPr06cPHQxNZAbbkEtkBBwcH9O/fH/PmzcNnq7+GxM3XrJ9XonVEj94MAkTWgmGAyM5cKSiH8WOFmkYAcLmg3MyfQkSmwjBAZGeq67iV0Fo/h4iaj2GAyM44ylvmn31LfQ4RNR//tRLZmSAfV3PcQ2BA8t/PISLrwO4eIjvjqpAj0NsFVwrVDW5bcmw7dJXl0JYVAgAqMlXQlN6eT+AxYDykTvc+4Af6uMBVwR8vRNaC/1qJ7FB0dz/EKa80+ITCEuUWaEvy9P+tvnAYuHAYAODWK/qeYUAmlSC6m59pCyYis2IYILJDM8ID8U3y5Qa36zDv60bvW6sTMHNw0x5WRETiYM8AkR3q6u+OyGBfyKSm7R6QSSWIDPZFsJ+7SfdLRObFMEBkp5ZMDoHcxGFALpVgyeQQk+6TiMyPYYDITgV4u+DtCb1Mus/FE3o1+PhiIrI8DANEdmxaWCBeHtXNJPt6ZVR3TA1jrwCRNWIDIZGdey66K3zdFFi0LR0andDgHQZ3kkklkEslWDyhF4MAkRXjygARYVpYIBJeHI6Izj4AAFkDrQS1jYcRnX2Q8OJwBgEiK8eVASICcLuHIG5WODJyS/H2hr1IPJcHR+92Bg81kuD2QKHobn6YOTiQdw0Q2QiGASIy0NXfHR1ykyHZsR6n/7iMywXlqNbo4CiXIsjHlZMFiWwQ/1UT0V2USiXCw8PhqpCjVztPscshIjNjzwARGdBqtTh69CgGDRokdilE1EIYBojIwNmzZ1FWVobw8HCxSyGiFsIwQEQGVCoVJBIJBgwYIHYpRNRCGAaIyIBSqUSvXr3g7s47BYjsBcMAERlQKpXsFyCyMwwDRKRXXl6O06dPs1+AyM4wDBCR3vHjx6HVarkyQGRnGAaISE+lUsHFxQW9e/cWuxQiakEMA0Skp1QqMWDAAMjlnEdGZE8YBohIT6VS8RIBkR1iGCAiAEBubi6uXLnC5kEiO8QwQEQAbq8KAODKAJEdYhggIgC3+wX8/f0RGBgodilE1MIYBogIwJ/9AhKJROxSiKiFMQwQEXQ6HVQqFfsFiOwUwwARISMjA8XFxewXILJTDANEBKVSCQAICwsTuRIiEgPDABFBpVKhe/fuaNWqldilEJEIGAaICEqlkv0CRHaMYYDIzlVWVuLUqVPsFyCyYwwDRHbu5MmTqKmp4coAkR1jGCCyc0qlEgqFAqGhoWKXQkQiYRggsnMqlQr9+vWDo6Oj2KUQkUgYBojsHJsHiYhhgMiOFRQU4I8//mDzIJGdYxggsmO1TyrkygCRfWMYILJjKpUKPj4+6Ny5s9ilEJGIGAaI7JhSqeSTComIYYDIXgmCoH9sMRHZN4YBIjt18eJFFBQUsF+AiBgGiOxVbfMgn1RIRAwDRHZKqVSiS5cu8PX1FbsUIhIZwwCRnWK/ABHVYhggskPV1dU4fvw4+wWICADDAJFdSktLQ1VVFVcGiAgAwwCRXVIqlXBwcEC/fv3ELoWILADDAJEdUqlU6NOnD5ycnMQuhYgsAMMAkR2qnTxIRAQwDBDZneLiYpw7d47Ng0SkxzBAZGdSUlIAgCsDRKTHMEBkZ5RKJTw9PdGtWzexSyEiC8EwQGRnVCoVwsLCIJXynz8R3cafBkR2RBAEKJVK9gsQkQGGASI7cvXqVeTm5rJfgIgMMAwQ2RGlUgmAzYNEZIhhgMiOqFQqBAYGok2bNmKXQkQWhGGAyI6wX4CI7oVhgMhOaDQaHDt2jJcIiOguDANEdiI9PR1qtZorA0R0F4YBIjuhUqkgk8nQv39/sUshIgvDMEBkJ5RKJXr37g1XV1exSyEiC8MwQGQnVCoVLxEQ0T0xDBDZgbKyMqSnp7N5kIjuiWGAyA4cO3YMOp2OKwNEdE8MA0R2QKlUws3NDT179hS7FCKyQAwDRHZApVJh4MCBkMlkYpdCRBaIYYDIDiiVSvYLEFGdGAaIbFx2djauXbvGfgEiqhPDAJGNU6lUAPikQiKqG8MAkY1TKpVo164dOnToIHYpRGShGAaIbJxKpeKqABHVi2GAyIZptVqkpKSwX4CI6sUwQGTDzp8/j9LSUq4MEFG9GAaIbJhSqYREIsHAgQPFLoWILBjDAJENU6lUuO++++Dh4SF2KURkwRgGiGwYhw0RkTEYBohsVEVFBVJTU9k8SEQNYhggslHHjx+HVqvlygARNYhhgMhGqVQqODs7o3fv3mKXQkQWjmGAyEYplUr0798fDg4OYpdCRBaOYYDIRqlUKvYLEJFRGAaIbNDNmzdx6dIl9gsQkVEYBohsUO2TCrkyQETGYBggskFKpRKtW7dGx44dxS6FiKwAwwCRDartF5BIJGKXQkRWgGGAyMYIgsDHFhNRozAMENmYjIwM3Lp1i/0CRGQ0hgEiG1PbPBgWFiZyJURkLRgGiGyMUqlEt27d4OXlJXYpRGQlGAaIbAyHDRFRYzEMENmQqqoqnDx5ks2DRNQoDANENuTUqVOorq7mygARNQrDAJENUSqVcHR0RGhoqNilEJEVYRggsiEqlQr9+vWDQqEQuxQisiIMA0Q2RKlUsl+AiBqNYYDIRhQWFiIjI4P9AkTUaAwDRDYiJSUFALgyQESNxjBAZCNUKhW8vLwQHBwsdilEZGUYBohsRG2/AJ9USESNxTBAZANqn1TIfgEiagqGASIbcPnyZdy8eZP9AkTUJAwDRDag9kmFDANE1BQMA0Q2QKlUonPnzmjdurXYpRCRFWIYILIBHDZERM3BMEBk5WpqanD8+HE2DxJRkzEMEFm5tLQ0VFZWcmWAiJqMYYDIyqlUKsjlcvTr10/sUojISjEMEFk5pVKJ0NBQODs7i10KEVkphgEiK8dhQ0TUXAwDRFaspKQEZ8+eZb8AETWLXOwCiKhxyqs0uFxQjmqNDqdOHAPkCq4MEFGzMAwQWYGM3FLEK7OQeD4PWYVqCHe8FvDSD5jzyw3cn6HDjPBAdPV3F61OIrJOEkEQhIY2KikpgaenJ4qLi+Hh4dESdRERgKuFary+JQ1JmfmQSSXQ6ur+51r7emSwL5ZMDkGAt0sLVkpElsjY4zd7Bogs1MaULMQs34/DFwsAoN4gcOfrhy8WIGb5fmxMyTJ7jURkG3iZgMgCrUzMwLLdF5r0Xq1OgFYnYOHmNOSXVeG56K4mro6IbA1XBogszMaULCzbfQFX3h+HoqR4/dfLUhNw5f1x0BTlGr2vZbsv4HuuEBBRAxgGiETy2WefQSKRGNwJcLVQjUXb0k36OW9uS8fVQrVJ90lEtoVhgEgk8fHxCAoKgkqlQmZmJgDg9S1p0NTRG+DaOxqBL2+GzNOvUZ+j0Ql4fUtas+slItvFMEAkgkuXLuHw4cP46KOP0Lp1a8THxyMjtxRJmfl1NgpKpDJI5I6QSCSN+iytTkBSZj4y80pNUToR2SCGASIRxMfHw8vLC2PHjsUjjzyC+Ph4xCuzIJPWfaCvq2eg4o+juBG/EFkfPYqsjx5Fzjcvojx9n8E2NTnnMXr0Q/D09ISLiwuGDx+OQ4cOmeNbIyIrxDBAJIL4+Hg8/PDDcHR0xPTp05GRkYFtCQcavH3wr8pSE5D3w9vQVZbCc/Cj8Brxdzj6d0LFxWP6bSoun0L2+ldxs/AWFi1ahCVLlqCoqAj3338/VCqVqb81IrJCvLWQqIUdO3YM586dw4oVKwAAw4YNQ/v2HZCZvAveMbON3o+ushyFCV/AsV03tHnsPUjkjvrXameJCYKAwt8+hVNgKLymvI05z46Gq0KOOXPmoFevXvjnP/+J3bt3m/YbJCKrw5UBohYWHx8Pf39/REdHAwAkEglixk1C+dkDEHRao/dTcfkEhOoKeA5+xCAI1O4TAGpyL0JzKxuu9w2HtqIEJzKykJ+fj/LycowcORIHDhyATqcz3TdHRFaJKwNELUir1WLjxo2Ijo7GpUuX9F+/r09/6L5Yicorp+Dcqb9R+9IU3QAAOLTuWOc2NbeyAQAFO5YDACI/uXub4uJieHl5GfstEJENYhggakF79+5FTk4ONm7ciI0bN971enn6PqPDgFGE22f9raKfhKN/Z7w7sTeCfF0NNnFzczPd5xGRVWIYIGpB8fHx8PPzw6effmrw9coaLeb+63OoLyRDV1MFqYOiwX3JW7UBANTcvAIHr3b33sarLQBAqnCBS1BfTJ/8IFwV/GdPRIb4U4GohVRUVGDz5s149NFH8cgjj9z1+rKDeTh1Zj8qMpVw7RnV4P6cO/WHxNEZxck/wLnzgLsaCCUSCRzbBEPeqi1KlJvRc9hDdwWBmzdvonXr1s3/5ojIqjEMELWQbdu2obS0FBMmTLjn6xMfGIG0bzxRnr7PqDAgVbjAa+TTKPz1E+R8+yJc7xsOqZMbqvMuQaipgu+4lyCRSOHz0Hzk/fAWTv/nKbxVMxvt27fH9evXkZiYCA8PD2zfvt3U3yoRWRmGAaIWEh8fDycnJzzwwAP3fH3mkCD8u0sYytP3QVtRYtQ+3fuMgszFEyVHfkTxoe8BmQwO3h3gETZRv41Tx1C0iV2GkLwErFy5EmVlZWjTpg3Cw8MxZ84ck3xvRGTdJELtDcn1KCkpgaenJ4qLi+Hh4dESdRHZpdg1Shy+WNDo4UP1kUkliOjsg7hZ4Q1vTEQ2xdjjN+cMEFmQJZNDIIUORmR0o8mlEiyZHGKy/RGR7WEYILIgu36KR+7OlY1+GFF9Fk/ohQBvF5Ptj4hsD8MAkQUQBAGLFi3C7NmzERvRBS/FdDXJfl8Z1R1TwwJNsi8isl1sICQSWU1NDebOnYuvv/4aS5YswcKFCyGRSODn4YRF29Kh0QmN6iEQtBo4Osjxr0khDAJEZBSuDBCJqKysDBMnTsS6devw7bff4rXXXtNfIpgWFoiEF4cjorMPANT7eOM7X3cqzoLwy2KM7+Vr3uKJyGbwbgIikeTl5WHs2LE4d+4cfvrpJ4waNarObTNySxGvzELihTxkFahx5z9aCYBAHxdEd/PDzMGB0BXloE+fPpgzZw4+/vhjc38bRGTBjD1+MwwQiSAzMxOjR49GeXk5du7ciX79+hn93vIqDS4XlKNao4OjXIogH9e7JgsuX74cL730Evbv34+oqIYHGBGRbWIYILJQKpUKY8eOhY+PD3bt2oWgoCCTf4ZWq8WIESOQnZ2N1NRUuLq6NvwmIrI5nDNAZIF++eUXREdHo2vXrjh06JBZggAAyGQyrF27Fjk5OVi4cKFZPoOIbAfDAFELWb16NSZOnIhRo0bh999/h4+Pj1k/Lzg4GO+//z5WrlyJffv2mfWziMi6MQwQmdmdMwTmzp2LH3/8Ec7Ozi3y2c899xyioqLw5JNPoqysrEU+k4isD8MAkRnV1NTgqaeewuLFi7FkyRKsXLkSMpmsxT5fKpXi66+/Rm5uLl599dUW+1wisi4MA0RmUt8MgZbUpUsXLF26FJ999hn27t3b4p9PRJaPdxMQmUFubi7Gjh2L8+fPNzhDoCXodDqMHDkSly5dQlpaGtzd3UWth4haBu8mIBJJRkYGIiIicP36dRw4cED0IAD8ebkgPz8fCxYsELscIrIwDANEJqRUKhEREQEHBwckJyc3apiQuXXq1AkffvghVq1ahYSEBLHLISILwjBAZCK1MwS6detm1hkCzTFnzhzcf//9mDVrFkpKSsQuh4gsBMMAkQl8+eWXmDhxIh588EEkJCSYfYZAU0mlUqxZswaFhYV4+eWXxS6HiCwEwwBRMwiCgDfffBNz5sxp8RkCTRUUFIRly5Zh9erV2L17t9jlEJEF4N0ERE1UU1ODOXPmYO3atXjvvffw6quvinLrYFMIgoBRo0bh3LlzOH36NDw9PcUuiYjMgHcTEJlR7QyBuLg4rFu3DgsXLrSaIAAAEokEa9asQXFxMf7xj3+IXQ4RiYxhgKiRcnNzMWLECCQlJWHnzp2IjY0Vu6QmCQwMxEcffYQ1a9bg119/FbscIhIRLxMQNUJGRgZGjx4NtVqNnTt3WtStg00hCAIeeughnD59GqdPn0arVq3ELomITIiXCYhMzJJnCDSVRCLB6tWrUVpaihdffFHscohIJAwDREawhhkCTRUQEIDly5fjm2++wY4dO8Quh4hEwDBA1ABrmSHQHE888QQeeughPP3007h165bY5RBRC2MYIKqDNc4QaCqJRIIvv/wSarUaL7zwgtjlEFELYxgguoeamhrMmjUL77zzDt5//32sXLkSMplM7LLMqkOHDvj444+xbt06bN++XexyiKgF8W4Cor8oKyvDlClTsGfPHqxduxYzZ84Uu6QWIwgCxo8fj2PHjiE9PR3e3t5il0REzcC7CYiaoHaGwMGDB7Fz5067CgLAn5cLKisr8fzzz4tdDhG1EIYBov+6cOEChgwZguvXr+PAgQN44IEHxC5JFO3atcMnn3yC9evX4+effxa7HCJqAQwDRACOHDmCiIgIKBQKJCcno2/fvmKXJKqZM2di/PjxmDNnDgoKCsQuh4jMjGGA7N727dtx//33o0ePHjY3Q6CpJBIJvvjiC1RXV2P+/Plil0NEZsYwQHbtiy++wKRJkzB69Gjs2bOHDXN3aNu2LVasWIHvvvsOmzdvFrscIjIjhgGyS7UzBObOnYtnnnkGP/zwg83OEGiOxx57DJMmTcIzzzyD/Px8scshIjNhGCC789cZAitWrLD5GQJNJZFI8Pnnn0Oj0eC5554TuxwiMhOGAbIrZWVlmDBhAuLi4hAXF4dXX30VEolE7LIsWps2bfDpp5/i+++/x48//ih2OURkBgwDZDdqZwgcOnTILmcINMfUqVPx8MMP45lnnkFeXp7Y5RCRiTEMkF3gDIHmqb1cAADPPvusyNUQkakxDJDN4wwB0/Dz88Onn36KH3/8EZs2bRK7HCIyIYYBsmmcIWBaU6ZMwaOPPop58+YhNzdX7HKIyEQYBshmcYaAeXz66aeQSqV45plnYMRzzojICjAMkM25c4bAvHnzOEPAxFq3bo3PPvsMW7ZswcaNG8Uuh4hMgGGAbMqdMwSWLl2KTz75hDMEzOCRRx7B1KlT8dxzz+HGjRtil0NEzcQwQDajdobA+vXrsX79eixYsIAzBMxo5cqVkMvlmDt3Li8XEFk5hgGyCX+dITBjxgyxS7J5vr6+WLVqFX7++Wds2LBB7HKIqBkYBsjq1c4QyM7OxoEDBxATEyN2SXZj8uTJmD59OubPn4+cnByxyyGiJmIYIKvGGQLiW7FiBRwdHTFnzhxeLiCyUgwDZLW2bdtmMEOgY8eOYpdkl3x8fPDFF19g+/btWL9+vdjlEFETMAyQVfriiy8wefJkPPTQQ5whYAEmTpyImTNn4n//93+RnZ0tdjlE1EgMA2RVBEHAG2+8oZ8hsGnTJs4QsBD/+c9/4OTkhNmzZ/NyAZGVYRggq1FTU4Mnn3wS//rXvzhDwAJ5e3vjyy+/xI4dO/Dtt9+KXQ4RNQLDAFmFsrIyjB8/HvHx8ZwhYMHGjx+Pxx9/HC+88AKuXbsmdjlEZCSGAbJ4N27cwPDhw3H48GHOELACH3/8MVxdXfH000/zcgGRlWAYIIt24cIFREREICcnhzMErISXlxdWr16NXbt2Ye3atWKXQ0RGYBggi8UZAtZrzJgxeOKJJ/Diiy/i6tWrYpdDRA1gGCCLVDtDoGfPnpwhYKU++ugjuLu746mnnuLlAiILxzBAFqd2hsCYMWM4Q8CKtWrVCl999RV2796Nr776SuxyiKgeDANkMe6cIfDss8/i+++/h5OTk9hlUTOMHj0as2bNwj/+8Q9cuXJF7HKIqA4MA2QR7pwh8MEHH+A///kPZwjYiH//+99o1aoVLxcQWTCGARLdnTME4uPj8corr3CGgA3x9PTEV199hYSEBHz55Zdil0NE98AwQKK6c4bAr7/+iscee0zsksgMRo0ahaeffhovv/wyLl++LHY5RPQXDAMkmjtnCCQlJWHkyJFil0RmtGzZMnh7e2PWrFnQ6XRil0NEd2AYIFEkJycjIiICTk5OSE5ORp8+fcQuiczMw8MDa9aswd69e7Fq1SqxyyGiOzAMUJOVV2mQnl2ME1m3kJ5djPIqjVHv+/nnn/UzBA4ePMgZAnYkJiYGc+fOxYIFC3Dp0iWxyyGi/5IIRrT3lpSUwNPTE8XFxfDw8GiJushCZeSWIl6ZhcTzecgqVOPOvzwSAIHeLoju7ocZ4YHo6u9+1/tXrVqFZ599FpMnT8b69et566AdKi0tRUhICDp16oTff/8dUinPSYjMxdjjN8MAGeVqoRqvb0lDUmY+ZFIJtLq6/9rUvh4Z7Islk0MQ4O2inyHw7rvvYv78+Vi+fDlvHbRje/fuxciRI7FixQo899xzYpdDZLMYBshkNqZkYdG2dGh0Qr0h4K9kUgnkUgneHNsDe1a9jW+//RYffPABXn75Zd46SHj22WfxzTffIDU1FV26dBG7HCKbxDBAJrEyMQPLdl9o9n5KDsZj5TPjeOsg6ZWVlSE0NBQBAQFITEzk5QIiMzD2+M1/fXZOIpHUuUy7MSXLJEEAADyGzUDS+RxIJBKD+8xHjBiBESNGmOQzyLq4ubnh66+/xoEDB7By5cp7btPUJlUiahy52AWQ+fzxxx/44IMPsGfPHmRnZ8PR0REhISGYMmUKZs+eDWdn5zrfe7VQjUXb0k1az5YT1026P7J+I0aMwPz587Fw4UI89NBD6Nq1a7ObVImo8RgGbNSOHTvw6KOPQqFQ4PHHH0fv3r1RXV2NgwcP4pVXXkF6enq9o2Ff35IGTSP6A4yhu8cVqd27d5v0M8j6vPfee9i5cydi576A4Olv4OAfBXU2qQoArhSqEae8gm+SLxs0qRJR0zEM2KBLly5h2rRp6NixI/bu3Yu2bdvqX3v22WeRmZmJHTt21Pn+jNxSJGXmm6weXXUlpI5OqB06dzm/DEFBt3/t6Ohoss8h6+Tq6or/WfwFVh8vRu4f+QDqv1sFgP71wxcLELN8P96e0AvTwgJboFoi28SeARv0wQcfoKysDGvWrDEIArWCg4Px/PPPG3xt69at6N27NxQKBYaG9UPVpWMGr2uK81Dw22e4/uUcZC17GFc/no6bW96DpijXYLuy1ARceX8cKrPSUPDbZ7j6yQxc//R/DD/rRLb+1/fqGaiqqsKiRYsQHBwMhUKBgIAALFiwAFVVVU357SALtzIxA2vSKiGVO0JA4+4y0eoEVGl0WLg5DSsTM8xUIZHt48qADdq+fTs6d+6MiIgIo7Y/ePAgNm/ejHnz5sHd3R0LFy9F1eYlaD9vLWTOt7tPq3IuoOr6Wbj2jILM3Qea4jyUndiJGxteQ7unP4PUwXB4UOHuzyF19oDn0GkQagwP4smXCuqsRafTYcKECTh48CBmz56Nnj17Ii0tDcuXL8eFCxewdevWxv1mkEUzaFJt4u2mV94fB/f+Y7EMz6C1mwJTuUJA1GgMAzampKQE169fx8SJE41+z9mzZ3HmzBl06dIFZVUafJAqQ/bX81F+Zj88BowHADh3CYNrj2EG73MJHoQbcS9Dff4w3Hrfb/Ca1MkN/tPfhUR692Ch67cqUF6lgavi7r9+GzZsQEJCAvbv349hw/78vN69e2Pu3Lk4fPiw0SGHLM8333yDJ554wuBrUhdPOPgGwjP8b3DuMrBZ+39zWzoiuviyh4CokXiZwMaUlJQAANzdje+yjomJ0Q99uVJQDge/TpAoXKApuqHfRuqg0P9a0GqgrSiB3KstpApXVN/44659uvV58J5BoNbaH3/Brl27UFRUhJKSEpw6dQrnz5/HunXr0LVrV7Rv3x45OTm4efMm8vPzcf/9t8NGYmKi0d8XWa7FixcjYtYitB7/D3iE/w06dTHyfngL6kxVs/ar0Ql4fUuaiaoksh9cGbAxtUMlSktLjX5PYOCfy6rVmttdflKFG3SV5fqv62qqUJL8A8rSEqAtLQDuuOFLV/XndrXkrfzr/cx/vPIqqnP+nGHQt29fg9c7d+58z/d9+OGH2LhxI5ycnODk5ARnZ+e7fn2vrzXl1xyXbD69BkVhjboMLq1v/7dbn1G49slMlJ/ZD5fgQU3er1YnICkzH5l5pQj2422HRMZiGLAxHh4eaNeuHU6fPm30e+486DnK71gsuuNWwFt7vkBZWgLcB06Aon0PSBWugESC/J8/MNiulkSuuOtrd0r8fQ8C3aX429/+Bp1Oh88++wyVlZV47LHHIJPJMHPmTNTU1KCqqgrV1dX6/ykUCri6uqKiogKVlZWorKxERUUFioqKkJOTY/C1O39dUVEBI4ZtGnBwcGiR0PHXXysUCpsf17zr9A3IpO76uwKkCldIHBwNVpN01ZUoSloP9bmD0KqLIPf0h1ufB+ExaPI9f3/K0hNRfGgjtMV5iPqhKzZ+/TmioqJa7HsismYMAzZo3Lhx+PLLL5GcnIwhQ4Y06r1BPq737OcuP38Irr3vh/fIp/RfEzTV0FWWNanGPp3bwVUh1w8+CgsLAwCEhobi1KlTeOedd0x6QBQEARqN5q6Q0JRf//VrJSUl9b6vsrKy0fUqFIoWDSC1/y+Xy1skiBw5fw3VzrfvdNGWF6H02HYI1ZVw7RUN4Paf182fFqPyShrc+jwAR7/OqLh0HEWJX0NbWgDvmKcN9ld59TTKzybBfeB4SGQOKDz1K0aPHg2VSoXevXub/fshsnYMAzZowYIFiI+Px1NPPYW9e/fC399wyf6PP/7AL7/8ctfthQDgqpAj0NsFV//ydYnk7vaSkmPbAUHX6Praeznfs3kQAKZMmYKdO3di9erVmD17tsFrFRUV0Ol0cHV1bfRnSiQSODg4wMHBocWfryEIAqqqqpodOv766/LycuTn59e7TU1NTaNqlUqlZg0dly5dAgCkrX7Z8INlDvAZ8zycO/UDAFRkKFF5JRWtomLhGTEVAOA+YBxubnkPpUe3wX3AODh4/XnbbM3NK2jz94+haBMMAHDrGYX8tfPw5ptvYvPmzU39oyOyGwwDNqhLly7YsGEDpk6dip49expMIDx8+DB++OEH/P3vf6/z/dHd/XD4LyeHzsFhKD+9F1KFCxx8A1F1/RwqL5+E1LnxB9YhnXzqfC02NhabNm3C3LlzkZiYiKFDh0Kr1eLcuXPYtGkTfvvtNwwc2LyO85YmkUj0B8RWrVq16GdrtVqDFYqmhI57/bqoqAg3btyodxudru6g6D3qGci929+usfwWytP3oeDXTyB1dIZL9whUXDwKSKRw/+/dLLU8Bk2G+vwhVFw8Coc7XlO076EPAgAg8/TDiFFj8Ntvu6DVatn/QdQAhgEbNWHCBKSmpuLDDz/Ezz//jM8//xwKhQKhoaH497//jaeffrrO984ID8S//nJ53TtmNiCRojx9HwRtDRTte8J/2r+Q+/2bja5tUr92db4mlUqxdetWLF++HOvWrcOWLVvg4uKCzp074/nnn0e3bt0a/Xn2TCaTwdXVtUmrKc1Re1nmr6Hj+++/x6JFi+DYthsUbbvqt3e9bzhyvv5fFO5ZBefgMGiK8yBz94FUYXiLoINPAABAW3zT4Otyr7v/TgUEdYZarcbNmzfRpk0bM3yXRLaDYcCGde3atd7nDwC4Z1NdV393TP9oGw5fLPizwcvJDb5jX7hr2w7zvjb4b7fQGLiFxtzzszz7PoCHHp6GEQP/vIa7b9++u7ZzcHDAggULsGDBgnprJ8t152WZO29zvfPOFcPtpXDqGIrSo9tQU5h9z20aSya17SZMIlPinAG6pyWTQyA38Q9TuVSCJZNDTLpPsk73/Jul0wIAhJpKyD39oC0tgK5KbbBJTeE1AIDMs7XB1zW3DAOEBMDN61fg4uKC1q0NtyWiuzEM0D0FeLvg7Qm9TLrPxRN6cTIcAQDaeBiOrxa0GlRcOgHI5HDwCYBz54GAoEPp8V8MtitJ2QpAcvv1O1RdP4eqG5n6//aTlWHH9m0YNWoU+wWIjMDLBFSnaWGByC+r+nN2fDO8Mqo7Z8aTnmdBOq5dyYROB+jURSg/sx+aW9nwGPwIpAoXOHcdBEVgKIr2x0FTnAdHv06ouHQCFRlH4D5wosGdBADg0Loj8r5/E+4Dx0Mmd0RR+m8AgLfffluMb4/I6jAMUL2ei+4KXzcFFm1Lh0YnNPho2TvJpBLIpRIsntCLQYAM7NuwUv9ridwRcu8O8H5wHtz6PnT7axIp/B554/bQobNJKEtNgNzTD62in4THoMl37c8poDcc2/dA8cHvoCm5ifvuuw+ffh+P0NDQFvueiKyZRDBiLFtJSQk8PT1RXFzc4vdok2W4WqjG61vSkJSZD5m0/ufN174eGeyLJZNDeGmA7il2jdKgSdUUZFIJIjr7IG5WuMn2SWTNjD1+MwxQo2TkliJemYXEC3nIKlDjzr88EgCBPi6I7uaHmYMDORue6nW1UI2Y5ftRpWn84Kq6KORSJLw4nAGU6L8YBsjsyqs0uFxQjmqNDo5yKYJ8XOucLEh0LxtTsrBws+meMrj04RBekiK6g7HHb/7kpiZzVcjRq52n2GWQFWOTKpFlYBggIlGxSZVIfJwzQESimxYWiIQXhyOi8+3nVjQ0PbD29YjOPkh4cTiDAFEzcWWAiCxCgLcL4maFs0mVSARsICQii8UmVaLmYQMhEVk9NqkStQz2DBAREdk5hgEiIiI7xzBARERk5xgGiIiI7BzDABERkZ1jGCAiIrJzDANERER2jmGAiIjIzjEMEBER2TmGASIiIjvHMEBERGTnGAaIiIjsHMMAERGRnWMYICIisnMMA0RERHaOYYCIiMjOyY3ZSBAEAEBJSYlZiyEiIiLTqT1u1x7H62JUGCgtLQUABAQENLMsIiIiammlpaXw9PSs83WJ0FBcAKDT6ZCdnQ13d3dIJBKTFkhERETmIQgCSktL0a5dO0ildXcGGBUGiIiIyHaxgZCIiMjOMQwQERHZOYYBIiIiO8cwQEREZOcYBoiIiOwcwwAREZGdYxggIiKyc/8PlfGID1HVtEYAAAAASUVORK5CYII=\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "nx.draw_networkx(G6)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 136,
      "metadata": {
        "id": "JaST9xtmHhEL",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 516
        },
        "outputId": "d0dafd13-990d-4a2c-8af8-9aa6b80e79ba"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "nx.draw(G6, with_labels = True)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 137,
      "metadata": {
        "id": "6GXOMs-uHhEL",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 516
        },
        "outputId": "408156a3-ad58-495b-db48-c1feb74e94d1"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "nx.draw_circular(G6)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 138,
      "metadata": {
        "id": "5xylM0N3HhEM",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 516
        },
        "outputId": "653ff68f-2b73-488d-8651-09efce3a40d5"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "nx.draw_spectral(G6, with_labels=True)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 139,
      "metadata": {
        "id": "oOy-bgNrHhEM",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 516
        },
        "outputId": "2a0886d1-f9d1-4100-aa5c-30f70612db2d"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "nx.draw_spring(G6)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 140,
      "metadata": {
        "id": "mBbkjhBOHhEM",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 516
        },
        "outputId": "507e5cf5-d050-4c4d-aa83-b2bbfe0a9eae"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "nx.draw_spring(DG2)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "SxYyQWC5HhEM"
      },
      "source": [
        "### An example ###"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 141,
      "metadata": {
        "id": "WCijVOOCHhEM",
        "scrolled": false,
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "outputId": "e883fa10-c6b7-47ae-cba6-dae8d6c41eb9"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "karate=nx.read_gml(\"karate.gml\",label='id')\n",
        "nx.draw_networkx(karate)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 142,
      "metadata": {
        "id": "oV9k0PJOHhEN",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 516
        },
        "outputId": "c1ed92cd-1b96-41da-ac56-c2e30a483631"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "nx.draw_spring(karate,with_labels=True)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WQSeZpkDHhEN"
      },
      "source": [
        "Change the size of the nodes depending on their pagerank value"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 143,
      "metadata": {
        "id": "3heNQ4I_HhEN",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "outputId": "0c536213-03b1-4f09-b64c-5c8bf7d66bc2"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "pr = nx.pagerank(karate)\n",
        "nx.draw_networkx(karate,node_size=[10000*pr[x] for x in pr])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zvzH_TCAHhEN"
      },
      "source": [
        "### A PageRank implementation\n",
        "\n",
        "We will now do our own implementation of Pagerank. Pagerank values for node $i$ are computed by iterating the following formula:\n",
        "\n",
        "$$p_i = 0.85\\sum_{j\\rightarrow i}\\frac{p_j}{d_{out}(j)} +0.15\\frac 1n$$"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "T3wMOoenHhEN"
      },
      "source": [
        "We will associate each node with two values: the old pagerank in the previous step and the new one that is currently computed. We initialize the old pagerank to $1/n$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 144,
      "metadata": {
        "id": "M8a4SwtXHhEO"
      },
      "outputs": [],
      "source": [
        "for x in karate.nodes:\n",
        "    karate.nodes[x]['old_pr'] = 1/len(karate.nodes)\n",
        "    karate.nodes[x]['pr'] = 0"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "h4W3oxU0HhEO"
      },
      "source": [
        "The algorithm goes over the edges in the graph, and for each edge (x,y) transfers a fraction of the Pagerank of x to y (and vice versa since the graph is undirected).\n",
        "\n",
        "For convergece check we want the maximum difference between old and new Pagerank values to be less than eps."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 145,
      "metadata": {
        "id": "N7V_38zbHhEO",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "fe9ad381-4542-4f52-ac09-603b1aa08699"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "{1: 0.09699746639416912, 2: 0.05287697716512755, 3: 0.05707850530246944, 4: 0.03585989886187514, 5: 0.02197802085797975, 6: 0.02911125727906845, 7: 0.02911125727906845, 8: 0.024490521601363044, 9: 0.029766036239543145, 10: 0.014309384124315726, 11: 0.02197802085797975, 12: 0.009564757473502347, 13: 0.014644911694305714, 14: 0.029536468425771824, 15: 0.014535968166646367, 16: 0.014535968166646367, 17: 0.016784065326985863, 18: 0.014558694786535084, 19: 0.014535968166646367, 20: 0.019604641610943857, 21: 0.014535968166646367, 22: 0.014558694786535084, 23: 0.014535968166646367, 24: 0.03152244833588808, 25: 0.021075999887935973, 26: 0.02100616170212189, 27: 0.01504401086799329, 28: 0.0256397267700412, 29: 0.019573438474829792, 30: 0.02628848291686834, 31: 0.024590131585182876, 32: 0.037158037426708354, 33: 0.07169310822672904, 34: 0.10091903290492975}\n"
          ]
        }
      ],
      "source": [
        "eps = 0.0000001\n",
        "while (True):\n",
        "    for (x,y) in karate.edges:\n",
        "        karate.nodes[y]['pr'] += karate.nodes[x]['old_pr']/karate.degree(x)\n",
        "        karate.nodes[x]['pr'] += karate.nodes[y]['old_pr']/karate.degree(y)\n",
        "\n",
        "    diff = 0\n",
        "    for x in karate.nodes:\n",
        "        karate.nodes[x]['pr'] = karate.nodes[x]['pr']*0.85 + 0.15/len(karate.nodes)\n",
        "        diff = max(diff, abs(karate.nodes[x]['pr'] - karate.nodes[x]['old_pr']))\n",
        "    if diff < eps: break\n",
        "\n",
        "    for x in karate.nodes:\n",
        "        karate.nodes[x]['old_pr'] = karate.nodes[x]['pr']\n",
        "        karate.nodes[x]['pr'] = 0\n",
        "\n",
        "print({x:karate.nodes[x]['pr'] for x in karate.nodes})"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FZ1m12o6HhEO"
      },
      "source": [
        "We got essentially the same values as for the Pagerank vector."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 146,
      "metadata": {
        "id": "TMxZeQKHHhEO",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "2ee980e8-a20a-482a-fc7d-25cc09aa1c71"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "{1: 0.09700181758983706,\n",
              " 2: 0.052878391037427,\n",
              " 3: 0.05707842304763673,\n",
              " 4: 0.035860643223064786,\n",
              " 5: 0.021979406974834498,\n",
              " 6: 0.02911334166344221,\n",
              " 7: 0.029113341663442205,\n",
              " 8: 0.02449075803950918,\n",
              " 9: 0.029765339186167028,\n",
              " 10: 0.014308950284462798,\n",
              " 11: 0.021979406974834494,\n",
              " 12: 0.009564916863537146,\n",
              " 13: 0.014645186487916188,\n",
              " 14: 0.02953631497720298,\n",
              " 15: 0.014535161524273824,\n",
              " 16: 0.014535161524273824,\n",
              " 17: 0.016785378110253487,\n",
              " 18: 0.01455885977424349,\n",
              " 19: 0.014535161524273824,\n",
              " 20: 0.01960441671193729,\n",
              " 21: 0.014535161524273824,\n",
              " 22: 0.01455885977424349,\n",
              " 23: 0.014535161524273824,\n",
              " 24: 0.03152091531163227,\n",
              " 25: 0.021075455001162945,\n",
              " 26: 0.02100562817474579,\n",
              " 27: 0.015043395360629753,\n",
              " 28: 0.025638803528350497,\n",
              " 29: 0.019572960509438537,\n",
              " 30: 0.026287262837112076,\n",
              " 31: 0.024589336534292478,\n",
              " 32: 0.037156635922679405,\n",
              " 33: 0.07169213006588289,\n",
              " 34: 0.1009179167487121}"
            ]
          },
          "metadata": {},
          "execution_count": 146
        }
      ],
      "source": [
        "pr"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "m-zZmLSIHhEO"
      },
      "source": [
        "Pagerank implementation using matrix operations"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 147,
      "metadata": {
        "id": "KTb3GPuxHhEP"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "A = nx.adjacency_matrix(karate)\n",
        "d = np.array([karate.degree(n) for n in karate.nodes])\n",
        "D = np.diag(1/d)\n",
        "P = D@A\n",
        "N = len(karate.nodes)\n",
        "u = np.ones(N)/N\n",
        "p = p_old = u\n",
        "while(True):\n",
        "    p = (0.85*p_old.T@P+0.15*u.T).T\n",
        "    if np.linalg.norm(p-p_old) < eps: break\n",
        "    p_old = p"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 148,
      "metadata": {
        "id": "k1g8UdU9HhEP",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "cc5bc806-4937-4405-db31-9738aa580393"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0.09699741, 0.05287696, 0.05707851, 0.03585989, 0.021978  ,\n",
              "       0.02911123, 0.02911123, 0.02449052, 0.02976604, 0.01430939,\n",
              "       0.021978  , 0.00956476, 0.01464491, 0.02953647, 0.01453598,\n",
              "       0.01453598, 0.01678405, 0.01455869, 0.01453598, 0.01960464,\n",
              "       0.01453598, 0.01455869, 0.01453598, 0.03152247, 0.02107601,\n",
              "       0.02100617, 0.01504402, 0.02563974, 0.01957344, 0.0262885 ,\n",
              "       0.02459014, 0.03715806, 0.07169312, 0.10091905])"
            ]
          },
          "metadata": {},
          "execution_count": 148
        }
      ],
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