examples/Wolf/00-Wolf-Basics.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "90e5b454-1750-4592-ba3d-27a0a526ba89",
   "metadata": {},
   "outputs": [],
   "source": [
    "from TELF.post_processing.Wolf import Graph"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8d4bf2c2-a429-4604-8293-a0710968bc4d",
   "metadata": {},
   "source": [
    "## 1. Create Sample Graph"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "563d7a84-882d-44a6-8515-531e0fa9d49c",
   "metadata": {},
   "source": [
    "### Default Constructor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "981d79fd-12e3-4ee2-a485-79e3864286fb",
   "metadata": {},
   "outputs": [],
   "source": [
    "g = Graph()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "19d984c8-29db-45b1-9cc2-7e3479801e1d",
   "metadata": {},
   "source": [
    "### Create Graph with a Global Attribute"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "4e71bc7d-5331-46ac-902f-4953f64d2a28",
   "metadata": {},
   "outputs": [],
   "source": [
    "g = Graph(foo='bar')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2dfe5501-d32f-430e-a319-a4e205947c64",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'bar'"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g.foo"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "329b83db-e43d-47d7-aec9-10f137984d92",
   "metadata": {},
   "source": [
    "### Try Creating Graph with an Invalid Global Attribute"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fddd0e02-6b45-4230-9d68-22f4dc7e5cc0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'nodes' is reserved by the Graph class and cannot be used as an attribute name.\n"
     ]
    }
   ],
   "source": [
    "try:\n",
    "    g = Graph(nodes='bar')\n",
    "except ValueError as e:\n",
    "    print(e)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d47aabe1-9691-4c37-81c9-62faf0d02ffd",
   "metadata": {},
   "source": [
    "### Add some Nodes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "87a10835-0553-4484-a970-b74c9bba8caf",
   "metadata": {},
   "outputs": [],
   "source": [
    "g.add_node(0)\n",
    "g.add_node(1)\n",
    "g.add_node(2)\n",
    "g.add_node(3)\n",
    "g.add_node(4)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cc315ea0-c018-44f5-9abc-d2bd979b2e40",
   "metadata": {},
   "source": [
    "#### Add some nodes with custom attributes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c6cfa9ed-f4eb-479f-bfb1-52a1daab8d43",
   "metadata": {},
   "outputs": [],
   "source": [
    "g.add_node(5, foo='label_A')\n",
    "g.add_node(6, bar='label_B')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1710505a-cc3e-4701-a472-308a2c47ae52",
   "metadata": {},
   "source": [
    "#### Try to add a duplicate node"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "0603634d-c68e-4fce-a1ea-ff2db5bfec4f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Node \"0\" already exists!\n"
     ]
    }
   ],
   "source": [
    "try:\n",
    "    g.add_node(0)\n",
    "except ValueError as e:\n",
    "    print(e)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "210af22d-e37c-4846-a3f7-ca88a145376d",
   "metadata": {},
   "source": [
    "### Add some Edges"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f19fc53e-776c-4b86-9568-12e638d2cecd",
   "metadata": {},
   "outputs": [],
   "source": [
    "g.add_edge(0, 1)\n",
    "g.add_edge(0, 2)\n",
    "g.add_edge(1, 2)\n",
    "g.add_edge(1, 4)\n",
    "g.add_edge(2, 1)\n",
    "g.add_edge(2, 3)\n",
    "g.add_edge(4, 2)\n",
    "g.add_edge(4, 3)\n",
    "g.add_edge(5, 6)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "856c14a3-e0ff-4171-bd3b-25942fb8bcbf",
   "metadata": {},
   "source": [
    "#### Try to add a duplicate edge"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "67c1d11d-cbf2-4536-9199-7a6957580797",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Edge from node \"0\" to node \"1\" already exists!\n"
     ]
    }
   ],
   "source": [
    "try:\n",
    "    g.add_edge(0, 1)\n",
    "except ValueError as e:\n",
    "    print(e)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7a26a1e-f576-496f-82e6-87ec51501a07",
   "metadata": {},
   "source": [
    "#### Try to add a loop"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "5c882c6b-e213-49f2-9712-7b83eb37c10e",
   "metadata": {},
   "outputs": [],
   "source": [
    "try:\n",
    "    g.add_edge(0, 0)\n",
    "except ValueError as e:\n",
    "    print(e)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9b391fdd-444f-4e14-a01f-f95667e07e8f",
   "metadata": {},
   "source": [
    "### Visualize the Graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "250bd21b-5a6b-4d1c-b8ce-dd9b7770500e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g.visualize()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "36024d04-c514-437c-a19d-9ac1c6d6b1d3",
   "metadata": {},
   "source": [
    "## 2. Create Copy of the Graph"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17a2e6a9-9b41-4e50-a8c5-eadf59ab3006",
   "metadata": {},
   "source": [
    "### Subgraph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "2cc06b63-24ac-44e0-85bc-a1f0ed0b7115",
   "metadata": {},
   "outputs": [],
   "source": [
    "g2 = g.subgraph([0,1,2,3,4])  # specifying which nodes to keep\n",
    "assert g.uid != g2.uid, 'No copy has been created'"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24e5131e-9c81-4bbd-a0a1-477fbf429b54",
   "metadata": {},
   "source": [
    "#### Make sure global attributes are preserved"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "cd17b3a3-4627-4b1e-abf5-fd83c0acc0e4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'bar'"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g2.foo  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "999258ad-1706-4479-8cdb-5a2b32703690",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g2.visualize()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "39f8ca63-0ba8-4323-aa4d-eb0776adeca3",
   "metadata": {},
   "source": [
    "## 3. Compute Stats using Direct Call"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df62362a-799b-4819-abcb-138d5a5f6fdc",
   "metadata": {},
   "source": [
    "### degree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "7d513767-a1ca-4b87-8585-3b307801f658",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'degree': {'0': 4, '1': 4, '2': 5, '3': 2, '4': 3, '5': 1, '6': 1},\n",
       " 'uid': 'f97505f9-d911-4a2e-ad31-615250d72988'}"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g.get_degree()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4ef197c3-9e9a-49a1-a101-ae0b0a9f30c6",
   "metadata": {},
   "source": [
    "### in_degree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "60016beb-b985-44d4-9ffb-6556bfb93ec5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'in_degree': {'0': 1, '1': 2, '2': 3, '3': 2, '4': 1, '5': 0, '6': 1},\n",
       " 'uid': 'f97505f9-d911-4a2e-ad31-615250d72988'}"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g.get_in_degree()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c6fbab26-2bcc-4da4-9609-62afc981bd4a",
   "metadata": {},
   "source": [
    "### out_degree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "2f3cb2c6-fa59-4121-85b9-13e8f71bc9c5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'out_degree': {'0': 3, '1': 2, '2': 2, '3': 0, '4': 2, '5': 1, '6': 0},\n",
       " 'uid': 'f97505f9-d911-4a2e-ad31-615250d72988'}"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g.get_out_degree()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec729615-de62-4d91-aec4-e64b5f05c7cc",
   "metadata": {},
   "source": [
    "### page_rank"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "79799558-dd88-44b7-b57b-e8f4a246ffb6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'page_rank': {'0': 0.0846965396536839,\n",
       "  '1': 0.17728840207373622,\n",
       "  '2': 0.2178642867413023,\n",
       "  '3': 0.211110698461236,\n",
       "  '4': 0.1360472936917415,\n",
       "  '5': 0.060699191322653404,\n",
       "  '6': 0.11229358805564651},\n",
       " 'uid': 'f97505f9-d911-4a2e-ad31-615250d72988'}"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g.get_page_rank()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ca07550-f489-4bfe-9ceb-b3e62f0db27a",
   "metadata": {},
   "source": [
    "### in_closeness"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "df45258e-3668-4f62-84d8-cf8a3974774a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'in_closeness': {'0': 0.0,\n",
       "  '1': 0.375,\n",
       "  '2': 0.5,\n",
       "  '3': 0.4444444444444444,\n",
       "  '4': 0.3,\n",
       "  '5': 0.0,\n",
       "  '6': 0.16666666666666666},\n",
       " 'uid': 'f97505f9-d911-4a2e-ad31-615250d72988'}"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g.get_in_closeness()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e179b91d-f403-4375-b0f1-a3dcbb4c5879",
   "metadata": {},
   "source": [
    "### out_closeness"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "8c11834b-8ed1-446d-a712-5cfb0255d8dc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'out_closeness': {'0': 0.4444444444444444,\n",
       "  '1': 0.375,\n",
       "  '2': 0.375,\n",
       "  '3': 0.0,\n",
       "  '4': 0.375,\n",
       "  '5': 0.16666666666666666,\n",
       "  '6': 0.0},\n",
       " 'uid': 'f97505f9-d911-4a2e-ad31-615250d72988'}"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g.get_out_closeness()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "59cbd9bd-e279-4849-af8e-12fff66f4854",
   "metadata": {},
   "source": [
    "### hubs_authorities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "f39aa6e2-6f5d-46cc-be77-e0ffb5b377a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'hubs': {'0': 0.3406653218024887,\n",
       "  '1': 0.2026164949162294,\n",
       "  '2': 0.20261649491622943,\n",
       "  '3': -0.0,\n",
       "  '4': 0.2541016883650523,\n",
       "  '5': 9.60575698136814e-18,\n",
       "  '6': -0.0},\n",
       " 'authorities': {'0': 0.1455420895201501,\n",
       "  '1': 0.23210572295758647,\n",
       "  '2': 0.3406653218024887,\n",
       "  '3': 0.19512323228233852,\n",
       "  '4': 0.08656363343743623,\n",
       "  '5': 2.700574811631364e-17,\n",
       "  '6': 2.0254311087235226e-17},\n",
       " 'uid': 'f97505f9-d911-4a2e-ad31-615250d72988'}"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g.get_hubs_authorities()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e0f63b8-1fc0-447d-9505-658e355876a2",
   "metadata": {},
   "source": [
    "### betweenness_centrality"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "0ee278cc-321a-4469-b689-e7ee97c4db6e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'betweenness_centrality': {'0': 0.0,\n",
       "  '1': 0.06666666666666667,\n",
       "  '2': 0.08333333333333333,\n",
       "  '3': 0.0,\n",
       "  '4': 0.016666666666666666,\n",
       "  '5': 0.0,\n",
       "  '6': 0.0},\n",
       " 'uid': 'f97505f9-d911-4a2e-ad31-615250d72988'}"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g.get_betweenness_centrality()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "94210a85-4601-4f05-8ff3-3569284aed4a",
   "metadata": {},
   "source": [
    "## 4. Compute Stats using Wrapper"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "151d7579-1b3f-4f6f-91a1-68276d844463",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['degree',\n",
       " 'in_degree',\n",
       " 'in_weight',\n",
       " 'page_rank',\n",
       " 'out_degree',\n",
       " 'out_weight',\n",
       " 'in_closeness',\n",
       " 'out_closeness',\n",
       " 'hubs_authorities',\n",
       " 'betweenness_centrality']"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g.stat_funcs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "f32427f7-f359-4943-801f-8cf0ff07fdce",
   "metadata": {},
   "outputs": [],
   "source": [
    "for stat in g.stat_funcs:\n",
    "    g.get_stat(stat)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7c3e18dd-3078-4dd0-b200-f86edff96fc3",
   "metadata": {},
   "source": [
    "#### Try an invalid stat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "b700288a-7f6f-470d-9e40-a21b9974439a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\"foo\" is not a valid Graph stat\n",
      "Options are: ['degree', 'in_degree', 'in_weight', 'page_rank', 'out_degree', 'out_weight', 'in_closeness', 'out_closeness', 'hubs_authorities', 'betweenness_centrality']\n"
     ]
    }
   ],
   "source": [
    "try:\n",
    "    g.get_stat('foo')\n",
    "except ValueError as e:\n",
    "    print(e)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ba0b6d0b-0abd-4cd5-a03f-ddd2829d7451",
   "metadata": {},
   "source": [
    "#### Look at stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "c8eaeb93-a15b-409f-a9bb-8e4b453f0ce5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'in_degree': {'0': 1, '1': 2, '2': 3, '3': 2, '4': 1, '5': 0, '6': 1},\n",
       " 'out_degree': {'0': 3, '1': 2, '2': 2, '3': 0, '4': 2, '5': 1, '6': 0},\n",
       " 'degree': {'0': 4, '1': 4, '2': 5, '3': 2, '4': 3, '5': 1, '6': 1},\n",
       " 'page_rank': {'0': 0.0846965396536839,\n",
       "  '1': 0.17728840207373622,\n",
       "  '2': 0.2178642867413023,\n",
       "  '3': 0.211110698461236,\n",
       "  '4': 0.1360472936917415,\n",
       "  '5': 0.060699191322653404,\n",
       "  '6': 0.11229358805564651},\n",
       " 'in_closeness': {'0': 0.0,\n",
       "  '1': 0.375,\n",
       "  '2': 0.5,\n",
       "  '3': 0.4444444444444444,\n",
       "  '4': 0.3,\n",
       "  '5': 0.0,\n",
       "  '6': 0.16666666666666666},\n",
       " 'out_closeness': {'0': 0.4444444444444444,\n",
       "  '1': 0.375,\n",
       "  '2': 0.375,\n",
       "  '3': 0.0,\n",
       "  '4': 0.375,\n",
       "  '5': 0.16666666666666666,\n",
       "  '6': 0.0},\n",
       " 'hubs': {'0': 0.3406653218024887,\n",
       "  '1': 0.2026164949162295,\n",
       "  '2': 0.20261649491622938,\n",
       "  '3': -0.0,\n",
       "  '4': 0.25410168836505237,\n",
       "  '5': -0.0,\n",
       "  '6': -0.0},\n",
       " 'authorities': {'0': 0.14554208952015008,\n",
       "  '1': 0.2321057229575863,\n",
       "  '2': 0.34066532180248865,\n",
       "  '3': 0.19512323228233847,\n",
       "  '4': 0.08656363343743631,\n",
       "  '5': -5.401149623262728e-17,\n",
       "  '6': -0.0},\n",
       " 'betweenness_centrality': {'0': 0.0,\n",
       "  '1': 0.06666666666666667,\n",
       "  '2': 0.08333333333333333,\n",
       "  '3': 0.0,\n",
       "  '4': 0.016666666666666666,\n",
       "  '5': 0.0,\n",
       "  '6': 0.0},\n",
       " 'in_weight': {'0': 1.0,\n",
       "  '1': 2.0,\n",
       "  '2': 3.0,\n",
       "  '3': 2.0,\n",
       "  '4': 1.0,\n",
       "  '5': 0,\n",
       "  '6': 1.0},\n",
       " 'out_weight': {'0': 3.0,\n",
       "  '1': 2.0,\n",
       "  '2': 2.0,\n",
       "  '3': 0,\n",
       "  '4': 2.0,\n",
       "  '5': 1.0,\n",
       "  '6': 0}}"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g.stats"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "26c497f7-6b0e-4bc2-b416-ecafdf1fce56",
   "metadata": {},
   "source": [
    "## 5. Weakly Connected Components"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "53f2f7e3-86a7-4ec3-94bc-512bd84be624",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wcc = g.weakly_connected_components()\n",
    "for c in wcc:\n",
    "    c.visualize()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "756908a6-a0e5-43bd-bb86-173a2bc62d56",
   "metadata": {},
   "source": [
    "## 6. Strongly Connected Components"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "b8522ee9-21eb-42e3-a79e-26637a395092",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IIwABAMIIQACAMAIQACCMAAQACCMAAQDCCEAAgDACEAAgjAAEAAgjAAEAwghAAIAwAhAAIIwABAAIIwABAMIIQACAMAIQACCMAAQACCMAAQDCCEAAgDACEAAgjAAEAAgjAAEAwghAAIAwAhAAIIwABAAIIwABAMIIQACAMAIQACCMAAQACCMAAQDCCEAAgDACEAAgjAAEAAgjAAEAwghAAIAwAhAAIIwABAAIIwABAMIIQACAMAIQACCMAAQACCMAAQDCCEAAgDACEAAgjAAEAAgjAAEAwghAAIAwAhAAIIwABAAIIwABAMIIQACAMAIQACCMAAQACCMAAQDCCEAAgDACEAAgjAAEAAgjAAEAwghAAIAwAhAAIIwABAAIIwABAMIIQACAMAIQACCMAAQACCMAAQDCCEAAgDACEAAgjAAEAAgjAAEAwghAAIAwAhAAIIwABAAIIwABAMIIQACAMAIQACCMAAQACCMAAQDCCEAAgDACEAAgjAAEAAgjAAEAwghAAIAwAhAAIIwABAAIIwABAMIIQACAMAIQACCMAAQACCMAAQDCCEAAgDACEAAgjAAEAAgjAAEAwghAAIAwAhAAIIwABAAIIwABAMIIQACAMAIQACCMAAQACCMAAQDCCEAAgDACEAAgjAAEAAgjAAEAwghAAIAwAhAAIIwABAAIIwABAMIIQACAMAIQACCMAAQACCMAAQDCCEAAgDACEAAgjAAEAAgjAAEAwghAAIAwAhAAIIwABAAIIwABAMIIQACAMAIQACCMAAQACCMAAQDCCEAAgDACEAAgjAAEAAgjAAEAwghAAIAwAhAAIEz/cnZqmqaqqqanp1d1GAAAzs2pTjvVbYtZVgB2Op2qqhobGzuPsQAAWG2dTqdGRkYW3afVLCMTu91uTU5O1tDQULVarRUbEACAldE0TXU6ndq8eXO124u/5besAAQAoHdYBAIAEEYAAgCEEYAAAGEEIABAGAEIABBGAAIAhBGAAABh/gNRP9AEIqPZdAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scc = g.strongly_connected_components()\n",
    "for c in scc:\n",
    "    c.visualize()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b565c6b-914b-4cad-9ce1-3b686057cb42",
   "metadata": {},
   "source": [
    "## 7. Pickle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "9895cc53-b0b7-4eb2-bc5d-7602028a81f2",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pickle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "fe4dafc8-ffd4-4088-ac3e-bd7aacd4068b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pickle.dump(g, open('graph.p', 'wb'))\n",
    "g3 = pickle.load(open('graph.p', 'rb'))\n",
    "g3.visualize()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}