Graphs_with_NetworkX.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Understanding Graphs with `NetworkX`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- This Notebook will cover 'NetworkX' library.\n",
    "- We will cover basics of graphs in this tutorial: reading, writing & manipulating graphs along with various graph attributes using NetworkX. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## NetworkX\n",
    "\n",
    "- NetworkX is a Python language software package for the creation, manipulation, and study of the structure, dynamics, and function of complex networks.\n",
    "\n",
    "- With NetworkX you can load and store networks in standard and nonstandard data formats, generate many types of random and classic networks, analyze network structure, build network models, design new network algorithms, draw networks, and much more.\n",
    "\n",
    "- Library documentation: https://networkx.org/\n",
    "\n",
    "- You can Install NetworkX in your local environment following this link:\n",
    "    - https://networkx.org/documentation/stable/install.html\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Importing Required Libraries \n",
    "\n",
    "import networkx as nx\n",
    "\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Graph Creation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'networkx.classes.graph.Graph'>\n"
     ]
    }
   ],
   "source": [
    "# intialize graph \n",
    "\n",
    "G = nx.Graph()\n",
    "\n",
    "print(type(G))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# adding nodes\n",
    "\n",
    "G.add_node(1)\n",
    "\n",
    "nx.draw(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G.add_nodes_from([2,3,4,5])\n",
    "nx.draw(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# adding many nodes at once \n",
    "H = nx.path_graph(10)\n",
    "\n",
    "G.add_nodes_from(H)\n",
    "nx.draw(G)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Edges"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# In graph we can add edges as well\n",
    "\n",
    "G.add_edge(1,2)\n",
    "nx.draw(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Edges can also be added using list of edges\n",
    "\n",
    "G.add_edges_from([(1,2),(1,3)])\n",
    "nx.draw(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "G.clear()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# After clearing the graph\n",
    "\n",
    "nx.draw(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ysjBhwgR8+OGHmD59uug4No3FZ4cMBgPS09MhSRIOHz6MV199FVFRUfDx8REdjcgu7dmzB6+99hq+/vprjBw5UnQcm8c52g4pFAoMGzYMu3btwqlTp+Dm5oYBAwZgxIgRSExMRE1NjeiIRHbjyy+/xJw5c5CcnMzSMxNOfATgl6XTO3bsgCRJuH79OiIjI/Haa6+hefPmoqMR2SSDwYAlS5Zg/fr1SE1NRadOnURHshssPvqdf/7zn5AkCbt378bLL78MtVqN5557TnQsIptRU1OD6OhoZGdnIyUlBa1atRIdya6w+OiRbt++ja+++gqfffYZvLy8EB0djVdeeYXnfhEZoaKiAlOnTkVJSQl27twJDw8P0ZHsDouPHqumpgYpKSmQJAk5OTl47bXXMHfuXDz55JOioxFZlaKiIowdOxbt2rXD+vXr4ezsLDqSXeLiFnosR0dHBAUFITU1FZmZmdBqtejduzdefvll7N+/nxtkE9XBlStXMGDAADz33HPYtGkTS08gTnzUIPfu3cPmzZshSRK0Wi3UajVmzJjBrZWIHiIvLw+jRo3CG2+8gT/+8Y+i49g9Fh8ZxWAwIDMzE5IkIS0tDZMnT4ZarUb37t1FRyOyCEePHsWECROwfPlyTJ06VXQcAm91kpEUCgUGDBiAuLg45OXloVWrVhgxYgQGDRqEHTt2cINssmu7d+/G+PHjsXHjRpaeBeHER7Krrq7G7t27odFoUFhYiIiICMyePZtniZFdWbNmDT744AMkJiaiT58+ouPQf+HER7JzcnJCSEgIDh06hNTUVPz000/o2rUrJk+ejMzMTG6QTTbNYDDg/fffx7Jly3D48GGWngXixEdmUVxcjA0bNmDVqlVQqVQPNshu1KiR6GhEstHpdFCr1Th58iSSk5PRsmVL0ZHoIVh8ZFZ6vR7p6enQaDTIzMzE9OnTERUVxe2ayOpVVFQgNDQU5eXlSEhIQOPGjUVHokfgrU4yKwcHBwwfPhzffPMNTp48CRcXF/j7+2PkyJFISkriBtlkle7evYthw4bB3d0dSUlJLD0Lx4mPhNNqtdi2bRskScKtW7cQFRWF8PBwNGvWTHQ0ose6cuUKRowYgdGjR+Nvf/sbD4+1AvxfiIRTqVSYMWMG/vGPf2Dbtm04d+4cvL29MXPmTJw8eVJ0PKJHOnfuHPz9/TFr1iwsW7aMpWclOPGRRbp9+zbWrl2LVatWoXXr1oiOjkZISAhcXFxERyMCABw+fBghISH45JNPEBoaKjoO1QOLjyxaTU0NkpOTodFokJub+2CD7Pbt24uORnZs165diIiIwJYtWzBs2DDRcaieOJeTRXN0dMTYsWOxb98+HD58GPfu3cMzzzyD8ePH48CBA3wmkMxu9erViI6ORmpqKkvPSnHiI6tTVlaGzZs3Q6PRQKfTISoqCjNmzOC5ZmRSBoMBixcvxtatW5GWloaOHTuKjkQNxOIjq2UwGHDkyBFoNBocOHDgwQbZ3bp1Ex2NbIxOp8PcuXORm5uL5ORktGjRQnQkMgJvdZLVUigUGDhwILZv345z586hRYsWGD58OAICApCQkACdTic6ItmA8vJyTJgwAVevXkVGRgZLzwZw4iObUlVVhV27dkGj0eDSpUsPNshu1aqV6Ghkhe7cuYOgoCB4e3tj7dq1cHJyEh2JZMCJj2yKs7MzJk2ahCNHjiA5ORlXr15Fly5dMGXKFGRlZXExDNXZv/71L/Tv3x8DBw7Ehg0bWHo2hBMf2bzi4mKsX78ekiTB3d0d0dHRCA0NhZubm+hoZKHOnj2LwMBA/OlPf8K8efNExyGZsfjIbuj1euzfvx8ajQbHjh3DjBkzEBkZCW9vb9HRyIIcOnQIISEhWLlyJSZPniw6DpkAb3WS3XBwcMCIESOwZ88enDhxAkqlEv369UNgYCCSk5Oh1+tFRyTBEhISEBISgri4OJaeDePER3atoqIC27Ztg0ajQVFRESIjIxEeHo6mTZuKjkZmJkkS/vrXvyI5ORm9evUSHYdMiMVHhF+eCfzHP/4BSZKwZ88eTJgwAWq1Gr179xYdjUzMYDAgNjYWO3bsQFpaGp566inRkcjEWHxEv3Hz5k2sXbsWn332Gdq2bQu1Wo3g4GBukG2DdDod5syZg3PnziE5ORleXl6iI5EZsPiIHkGn0yEpKQmSJOHs2bOYNWsWIiIi0K5dO9HRSAb37t3DpEmToNfrsWPHDjRq1Eh0JDITLm4hegSlUolx48Zh//79OHjwIEpKSuDn54eJEyciIyODzwRasdu3b2Po0KFo3rw5vvnmG5aeneHER1QPpaWl2LRpEzQaDQAgKioK06dPR+PGjQUno7q6fPkyRowYgYkTJ2Lp0qVQKBSiI5GZsfiIGsBgMODQoUOQJAnp6emYMmUK1Go1unTpIjoa1SI3NxejR4/GwoUL8frrr4uOQ4LwVidRAygUCgwePBg7duzAmTNn0LRpUwQEBGDo0KHYuXMnN8i2QBkZGRg+fDhWrFjB0rNznPiIZFJVVYWEhARIkoQffvjhwQbZ3M1fvO3btyM6Ohrbtm1DQECA6DgkGCc+Ipk4OzsjNDQUmZmZSExMxOXLl9G5c2dMmzYNx44d42IYQf7v//4PCxYswP79+1l6BIATH5FJFRUVYd26dVi1ahWeeOIJqNVqhIaGwtXVVXQ0m2cwGPDuu+9i165dSE1NRYcOHURHIgvB4iMyA71ej7S0NEiShOzsbISFhSEyMhIdO3YUHc0mVVdXY/bs2cjPz0dSUhKaN28uOhJZEN7qJDIDBwcHjBo1CklJScjOzgYAPP/88xgzZgz27t3LDbJldO/ePbz88su4ffs20tPTWXr0O5z4iAQpLy9HXFwcNBoNSkpKEBUVhZkzZ6JJkyaio1mtW7duYfTo0ejevTvWrFnDw2PpoTjxEQni5uaG8PBwnDx5Ehs3bkROTg46duyI2bNn4/Tp06LjWZ1Lly7B398fL730EtauXcvSo0di8REJplAo0K9fP2zatAn5+fno0KEDgoKC0L9/f2zduhVVVVWiI1q8U6dOoX///pg/fz6WLFnC3VioVrzVSWSBdDodEhMTIUkS8vLyMHv2bERERKBNmzaio1mc9PR0hIaG4rPPPsPEiRNFxyErwImPyAIplUpMmDAB6enpSE9Px927d9GjRw+EhITg4MGDfCbw3+Li4hAaGoodO3aw9KjOOPERWYmSkhJs3LgRkiTBwcEBarUar776Ktzd3UVHE+LTTz/FRx99hJSUFPTo0UN0HLIiLD4iK2MwGJCRkQFJkpCRkYFp06YhKioKvr6+oqOZhV6vxzvvvIPExESkpaWhffv2oiORleGtTiIro1AoMGTIECQkJCA3NxceHh4YPHgwhg0bht27d9v0BtnV1dUICwvDkSNHkJmZydKjBuHER2QDKisrER8fD0mScPXqVURGRmLWrFnw8vISHU02ZWVlCA4OhrOzM+Li4uDm5iY6ElkpTnxENsDFxQVTp05FVlYWdu/ejcLCQvj4+GD69OnIzs62+sUwN2/eREBAANq1a4edO3ey9MgoLD4iG9O7d2+sXbsW3333HXr27IkpU6bg+eefx/r161FRUSE6Xr19//338Pf3R2BgID7//HMolUrRkcjK8VYnkY3T6/VITU2FRqPBiRMnEB4ejsjISKs4rSAnJwdjxozBe++9h7lz54qOQzaCEx+RjXNwcEBgYCBSUlJw7Ngx6HQ69OnTB2PHjkVaWprFbpB94MABjBw5EhqNhqVHsuLER2SHysvLsWXLFkiShHv37iEqKgphYWHw9PQUHQ0AsGXLFrz55puIj4/HgAEDRMchG8PiI7JjBoMBWVlZkCQJe/fuRUhICNRqNfz8/IRlWr58OT755BOkpKSge/fuwnKQ7WLxEREA4Pr16/jiiy+wZs0aPPXUU4iOjsb48ePh7Ozc4GveLqtE/MmryL9eghKtDh4qJXxbeSDk2bZo5u7yq39Xr9fjrbfeQkpKCtLS0tCuXTtjvySih2LxEdGvVFdX45tvvoEkSSgoKMCcOXMwZ84c/OEPf6jzNXKvFEM6WIhDF24BACp1//kcUaV0gAHA4M5eiBrkDb92nqiqqkJ4eDguX76MxMRENG3aVO4vi+gBFh8RPdK3334LSZIQFxeH4cOHQ61WY8CAAbUe+7Pp+GUsTcmHVleD2n66KBSASumIPw59CtuXvg43Nzds3boVrq6uJvhKiP6DxUdEj1VSUoKvv/4aGo0Gzs7OUKvVmDp16u82yP6l9M6joroeK0VrqtBFex57lr/FZ/TILPg4AxE9loeHB6Kjo3H+/HmsWLECqampePLJJzF//nxcuHABwC+3N5em5Nev9ADA0RmXPXsj73qZCZIT/R4nPiJqkB9++AGrV6/G2rVr4efnB9Ww13G22KHW25uPolAAI7q2xOppfeQPSvQbLD4iMopWq8W6rfH423l3wNGpwddxUToga+GQ3632JJIbb3USkVFUKhUUHfvBxcW4wlIAiM+5Kk8oolqw+IjIaPnXS371yEJDaHV65F8rlSkR0aOx+IjIaCVaeQ6/LdFWy3Idotqw+IjIaB4qeR5D8FA1/DNCorpi8RGR0XxbecBFadyPE5XSAb6tG8uUiOjRWHxEZLTgZ9safQ0DgODexl+H6HFYfERktObuLhjk44VadjKrlUIBBHT24qMMZBYsPiKShXqwN1RKxwa9V6V0RNRgb5kTET0ci4+IZOHXzhMxgb5wdarfjxVXJwfEBPqiZ1tP0wQj+g3uCEtEspnWtwMA1Ol0BsAAVyclYgJ9H7yPyBy4ZRkRye7M1WKsOliIjIJbUOCXh9PvUykdUKPXQ/v9Sez4YBb6+tT9nD8iObD4iMhk7pRVIj7nKvKvlaJEWw0PlRN8WzdGcO+2eCMiHF26dEFsbKzomGRnWHxEJERhYSH69u2LCxcu8MR1MisubiEiIby9vTFhwgQsW7ZMdBSyM5z4iEiYK1euoFevXvj222/RqlUr0XHITrD4iEioN998EzU1NVi5cqXoKGQnWHxEJNTNmzfRpUsX5OTk4MknnxQdh+wAi4+IhIuNjcW1a9ewdu1a0VHIDrD4iEi44uJidOrUCZmZmejcubPoOGTjuKqTiITz9PTEggULsHjxYtFRyA5w4iMii3Dv3j14e3tj79696NWrl+g4ZMM48RGRRWjUqBHeeecdLFq0SHQUsnGc+IjIYlRWVsLHxwdxcXHo16+f6DhkozjxEZHFcHFxwXvvvYd3330X/DM5mQqLj4gsyowZM/Djjz8iPT1ddBSyUSw+IrIoSqUSf/7znxETE8Opj0yCxUdEFueVV16BVqtFYmKi6Chkg7i4hYgs0p49e/Duu+8iNzcXDg78MzrJh/9vIiKLNGbMGLi7uyMuLk50FLIxnPiIyGL9/e9/R0REBPLy8uDk5CQ6DtkITnxEZLGGDBmCJ598EuvXrxcdhWwIJz4ismjZ2dkIDg7GxYsXoVKpRMchG8CJj4gs2gsvvIDevXtj9erVoqOQjeDER0QW78yZM3jppZdQWFgId3d30XHIynHiIyKL17NnTwwZMgSffvqp6ChkAzjxEZFVuHjxIvr164eLFy+iSZMmouOQFePER0RWoVOnThg/fjyWLVsmOgpZOU58RGQ1fvjhB/Tq1Qt5eXlo1aqV6DhkpVh8RGRV5s+fD4PBwM/7qMFYfERkVW7cuIGuXbvi1KlTaN++veg4ZIVYfERkdWJiYnDjxg18+eWXoqOQFWLxEZHVKSoqQqdOnZCVlQUfHx/RccjKsPiIyCr99a9/xdmzZ7F161bRUcjKsPiIyCqVlZXB29sbaWlp8PPzEx2HrAiLj4is1qeffor09HSe1E71wuIjIqul1Wrh4+OD7du3o2/fvqLjkJXgzi1EZLVUKhXee+89xMTEiI5CVoTFR0RWbcaMGbhy5QrS09NFRyErweIjIqvm5OSEDz74ADExMeAnN1QXLD4isnqTJk1CeXk59uzZIzoKWQEWHxFZPQcHByxZsgSxsbHQ6/Wi45CFY/ERkU0ICgqCm5sbtm3bJjoKWTg+zkBENiM9PR1z585FXl4enJycRMchC8WJj4hsxtChQ9G+fXts2LBBdBSyYJz4iMimHD9+HK+88gouXLgAlUolOg5ZIE58RGRT+vbti169emHNmjWio5CF4sRHRDYnNzcXI0aMQGFhIdzd3UXHIQvDiY+IbI6fnx8CAgKwcuVK0VHIAnHiIyKbdOHCBfj7++PChQto0qSJ6DhkQTjxEZFN8vHxwcsvv4yPPvpIdBSyMJz4iMhm/fDDD3jmmWeQl5eHli1bio5DFoLFR0Q2bd68eVAoFPjkk09ERyELweIjIpt248YNdO3aFadOnUL79u1FxyELwOIjIpv37rvv4tatW/jiiy9ERyELwOIjIptXVFQEHx8fZGVloVOnTqLjkGBc1UlENq9JkyaYP38+Fi9eLDoKWQBOfERkF8rKyuDt7Y19+/ahZ8+eouOQQJz4iMguuLu74+2338aiRYtERyHBOPERkd3QarXo1KkT4uPj8cILL4iOQ4Jw4iMiu6FSqfDee+8hJiZGdBQSiMVHRHYlLCwMly9fxt///nfRUUgQFh8R2RUnJyf8+c9/RkxMDPhJj31i8RGR3Zk8eTLKysqQlJQkOgoJwOIjIrvj4OCAJUuWIDY2Fnq9XnQcMjMWHxHZpbFjx0KlUmH79u2io5CZ8XEGIrJbBw4cQFRUFPLy8qBUKkXHITPhxEdEdmvo0KFo06YNNmzYIDoKmREnPiKya1lZWQgNDcWFCxfg4uIiOg6ZASc+IrJrL774Inr06IE1a9aIjkJmwomPiOze6dOnMWrUKBQWFqJRo0ai45CJceIjIrvXq1cvDBw4ECtXrhQdhcyAEx8REYCCggL0798fFy9ehKenp+g4ZEKc+IiIAHTu3BlBQUH46KOPREchE+PER0T0b//617/Qu3dvnD9/Hi1atBAdh0yExUdE9F9ef/11KJVKrFixQnQUMhEWHxHRf7l+/Tq6deuG06dPo127dqLjkAmw+IiIfuPtt9/G3bt38fnnn4uOQibA4iMi+o27d+/Cx8cHx48fh7e3t+g4JDOu6iQi+o2mTZti3rx5WLx4segoZAKc+IiIHqK0tBTe3t44cOAAevToIToOyYgTHxHRQzRu3BgLFy7EokWLREchmXHiIyJ6hIqKCvj4+CAhIQHPP/+86DgkE058RESP4OrqitjYWMTExIiOQjJi8RER1SI8PByXLl1CRkaG6CgkExYfEVEtnJyc8P777yMmJgb8ZMg2sPiIiB4jNDQUJSUlSElJER2FZMDiIyJ6DEdHR/zlL39BTEwM9Hq96DhkJBYfEVEdjBs3Dk5OToiPjxcdhYzExxmIiOpo3759eP311/Htt99CqVSKjkMNxImPiKiOhg8fjtatW2Pjxo2io5AROPEREdXD0aNHMXXqVBQUFMDFxUV0HGoATnxERPXg7++Pbt264YsvvhAdhRqIEx8RUT2dOnUKgYGBKCwsRKNGjUTHoXrixEdEVE/PPPMMBgwYAI1GIzoKNQAnPiKiBsjPz8eAAQNw8eJFeHp6io5D9cCJj4ioAXx9fTFmzBgsX75cdBSqJ058REQNdPnyZTz77LPIz8+Hl5eX6DhURyw+IiIjREdHw8XFBR9//LHoKFRHLD4iIiNcu3YN3bt3R25uLtq2bSs6DtUBi4+IyEgLFy7Ezz//jNWrV4uOQnXA4iMiMtKdO3fQuXNnZGdn4+mnnxYdhx6DqzqJiIzUrFkzvPHGG3j//fdFR6E64MRHRCSD0tJSeHt7Iz09Hd27dxcdh2rBiY+ISAaNGzfGW2+9hUWLFomOQo/BiY+ISCYVFRXo1KkTdu3aheeee050HHoETnxERDJxdXVFbGwsYmJiREehWrD4iIhkFB4eju+++w4HDx4UHYUegcVHRCQjZ2dnvP/++4iJiQE/SbJMLD4iIplNmTIFxcXF2Lt3r+go9BAsPiIimTk6OuIvf/kLYmJioNfrRceh32DxERGZwPjx4+Ho6IiEhATRUeg3+DgDEZGJpKWlYd68eTh37hyUSqXoOPRvnPiIiEzkpZdeQsuWLbFp0ybRUei/cOIjIjKhzMxMTJs2DQUFBXBxcREdh8CJj4jIpPr374+uXbviyy+/FB2F/o0THxGRieXk5GDMmDEoLCyEm5ub6Dh2jxMfEZGJ9e7dG/7+/tBoNKKjEDjxERGZxfnz5zFo0CBcvHgRTzzxhOg4do0THxGRGXTp0gWBgYFYvny56Ch2jxMfEZGZXLp0CX369EF+fj68vLxEx7FbLD4iIjNSq9VwdXXFRx99JDqK3WLxERGZ0U8//YTu3bvj7NmzaNOmjeg4donFR0RkZm+99RZKS0vx2WefiY5il1h8RERmdufOHfj4+ODEiRPwaNEG8SevIv96CUq0OniolPBt5YGQZ9uimTt3ejEFFh8RkQDRi5fh2M8eKGvcHgBQqfvP8UUqpQMMAAZ39kLUIG/4tfMUE9JGsfiIiMxs0/HLWJJ8HhVVOigcHv1UmUIBqJSOiAn0xbS+HcwX0Max+IiIzGjT8ctYmnIeFdV1P6DW1ckBMYFdWH4y4QPsRERmknulGEtT8utVegBQUa3H0pR8nLlabJpgdobFR0RkJtLBQmh1NQ16r1ZXg1UHC2VOZJ9YfEREZnC7rBKHLtxCQz9cMhiAjIJbuFNWKW8wO8TiIyIyg/iTV42+hgJAfI7x17F3LD4iIjPIv17yq0cWGkKr0yP/WqlMiewXi4+IyAxKtDqZrlMty3XsGYuPiMgMPFRKma7jJMt17BmLj4jIDHxbecBFadyPXJXSAb6tG8uUyH6x+IiIzCD42bZGX8MAILi38dexdyw+IiIzaO7ugkE+XlAoGvZ+hQII6OzFjatlwOIjIjIT9WBvqJSODXqvSumIqMHeMieyTyw+IiIz8WvniZhAX7g61e9H7y97dfqiZ1tP0wSzM/IsMyIiojq5v9H00pR8aHU1te7kwtMZTIOnMxARCXDmajFWHSxERsEtKPDLw+n33T+PL6CzF6IGe3PSkxmLj4hIoDtllYjPuYr8a6Uo0VbDQ+UE39aNEdybJ7CbCouPiIjsChe3EBGRXWHxERGRXWHxERGRXWHxERGRXWHxERGRXWHxERGRXWHxERGRXWHxERGRXWHxERGRXfl/do8ySwSh70MAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "##  adding multiple edges at a time\n",
    "E = [(1, 2), (2, 3), (1, 4), (4, 2)]\n",
    "G.add_edges_from(E)\n",
    "nx.draw(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# to print total number of nodes in the graph\n",
    "\n",
    "G.number_of_nodes()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# to print total number of edges in the graph\n",
    "\n",
    "G.number_of_edges()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Nodes =  [1, 2, 3, 4]\n",
      "Edges =  [(1, 2), (1, 4), (2, 3), (2, 4)]\n"
     ]
    }
   ],
   "source": [
    "print('Nodes = ',G.nodes)\n",
    "print('Edges = ',G.edges)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "nx.draw(G, with_labels=True, font_weight='bold')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " Node 1 degree is 2\n",
      " Node 2 degree is 3\n",
      " Node 3 degree is 1\n",
      " Node 4 degree is 2\n"
     ]
    }
   ],
   "source": [
    "# we can also compute the degree of the nodes and neighbors as well\n",
    "\n",
    "for v in G.nodes:\n",
    "    print(f\" Node {v} degree is {G.degree(v)}\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Neighbors for nodes: {1: [2, 4], 2: [1, 3, 4], 3: [2], 4: [1, 2]}\n"
     ]
    }
   ],
   "source": [
    "# to print neighbors\n",
    "\n",
    "print(f\"Neighbors for nodes: { {v: list(G.neighbors(v)) for v in G.nodes} }\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Function to draw graph\n",
    "\n",
    "def draw_graph(G, pos_nodes, node_names={}, node_size=50, plot_weight=False):\n",
    "    nx.draw(G, pos_nodes, with_labels=False, node_size=node_size, edge_color='gray', arrowsize=30)\n",
    "    \n",
    "    pos_attrs = {}\n",
    "    for node, coords in pos_nodes.items():\n",
    "        pos_attrs[node] = (coords[0], coords[1] + 0.08)\n",
    "        \n",
    "    nx.draw_networkx_labels(G, pos_attrs, font_family='serif', font_size=10)\n",
    "    \n",
    "    \n",
    "    if plot_weight:\n",
    "        pos_attrs = {}\n",
    "        for node, coords in pos_nodes.items():\n",
    "            pos_attrs[node] = (coords[0], coords[1] + 0.08)\n",
    "        \n",
    "        nx.draw_networkx_labels(G, pos_attrs, font_family='serif', font_size=10)\n",
    "        edge_labels=dict([((a,b,),d[\"weight\"]) for a,b,d in G.edges(data=True)])\n",
    "        nx.draw_networkx_edge_labels(G, pos_nodes, edge_labels=edge_labels)\n",
    "    \n",
    "    plt.axis('off')\n",
    "    axis = plt.gca()\n",
    "    axis.set_xlim([1.2*x for x in axis.get_xlim()])\n",
    "    axis.set_ylim([1.2*y for y in axis.get_ylim()])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Different types of graphs\n",
    "\n",
    "Here we will explore different types of graphs\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. Directed Graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G_directed = nx.DiGraph() # for directed graphs\n",
    "\n",
    "V = [1,2,3,4,5,6,7]\n",
    "E = [(1,2),(1,3),(2,4),(2,3),(3,6),(4,5),(4,7),(5,7),(5,3),(6,7)]\n",
    "\n",
    "G_directed.add_nodes_from(V)\n",
    "G_directed.add_edges_from(E)\n",
    "\n",
    "draw_graph(G_directed, pos_nodes=nx.shell_layout(G_directed),node_size=800)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Indegree for nodes: {1: 0, 2: 1, 3: 3, 4: 1, 5: 1, 6: 1, 7: 3}\n",
      "Outdegree for nodes: {1: 2, 2: 2, 3: 1, 4: 2, 5: 2, 6: 1, 7: 0}\n"
     ]
    }
   ],
   "source": [
    "# printing different properties of Directed graph\n",
    "\n",
    "print(f\"Indegree for nodes: { {v: G_directed.in_degree(v) for v in G_directed.nodes} }\")\n",
    "print(f\"Outdegree for nodes: { {v: G_directed.out_degree(v) for v in G_directed.nodes} }\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. Weighted graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G_weighted = nx.DiGraph() # for directed weighted graph\n",
    "\n",
    "V = [1,2,3,4,5,6,7]\n",
    "E = [(1,2,4),(1,3,5),(2,4,6),(2,3,7),(3,6,8),(4,5,9),(4,7,1),(5,7,2),(5,3,4),(6,7,6)]\n",
    "\n",
    "G_weighted.add_nodes_from(V)\n",
    "\n",
    "G_weighted.add_weighted_edges_from(E)\n",
    "\n",
    "\n",
    "draw_graph(G_weighted, pos_nodes=nx.shell_layout(G_weighted), node_size=800, plot_weight=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Creating new undirected graph\n",
    "\n",
    "V = [1,2,3,4,5,6,7]\n",
    "E = [(1,2),(1,3),(2,4),(2,3),(3,6),(4,5),(4,7),(5,7),(5,3),(6,7)]\n",
    "\n",
    "G = nx.Graph()\n",
    "\n",
    "G.add_nodes_from(V)\n",
    "G.add_edges_from(E)\n",
    "\n",
    "draw_graph(G, pos_nodes=nx.shell_layout(G), node_size=800)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Computing Adjacency matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     1    2    3    4    5    6    7\n",
       "1  0.0  1.0  1.0  0.0  0.0  0.0  0.0\n",
       "2  1.0  0.0  1.0  1.0  0.0  0.0  0.0\n",
       "3  1.0  1.0  0.0  0.0  1.0  1.0  0.0\n",
       "4  0.0  1.0  0.0  0.0  1.0  0.0  1.0\n",
       "5  0.0  0.0  1.0  1.0  0.0  0.0  1.0\n",
       "6  0.0  0.0  1.0  0.0  0.0  0.0  1.0\n",
       "7  0.0  0.0  0.0  1.0  1.0  1.0  0.0"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Adjacency matrix can be printed as pandas or numpy both formats\n",
    "\n",
    "nx.to_pandas_adjacency(G) #adjacency matrix as pd DataFrame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matrix([[0., 1., 1., 0., 0., 0., 0.],\n",
       "        [1., 0., 1., 1., 0., 0., 0.],\n",
       "        [1., 1., 0., 0., 1., 1., 0.],\n",
       "        [0., 1., 0., 0., 1., 0., 1.],\n",
       "        [0., 0., 1., 1., 0., 0., 1.],\n",
       "        [0., 0., 1., 0., 0., 0., 1.],\n",
       "        [0., 0., 0., 1., 1., 1., 0.]])"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.to_numpy_matrix(G) #adjacency matrix as numpy matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_graph(G, pos_nodes=nx.shell_layout(G), node_size=800)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[1, 2, 4, 5, 7],\n",
       " [1, 2, 4, 5, 3, 6, 7],\n",
       " [1, 2, 4, 7],\n",
       " [1, 2, 3, 6, 7],\n",
       " [1, 2, 3, 5, 4, 7],\n",
       " [1, 2, 3, 5, 7],\n",
       " [1, 3, 2, 4, 5, 7],\n",
       " [1, 3, 2, 4, 7],\n",
       " [1, 3, 6, 7],\n",
       " [1, 3, 5, 4, 7],\n",
       " [1, 3, 5, 7]]"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# all possible paths\n",
    "\n",
    "paths = nx.all_simple_paths(G,source=1,target=7)\n",
    "list(paths)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 2, 4, 7]\n"
     ]
    }
   ],
   "source": [
    "# In order to compute shortest path between two nodes in this non weighted graph 'G'.\n",
    "\n",
    "path = nx.shortest_path(G,source=1,target=7)\n",
    "print(path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{1: 0.3333333333333333,\n",
       " 2: 0.5,\n",
       " 3: 0.6666666666666666,\n",
       " 4: 0.5,\n",
       " 5: 0.5,\n",
       " 6: 0.3333333333333333,\n",
       " 7: 0.5}"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## To compute degree centrality\n",
    "\n",
    "nx.degree_centrality(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{1: 0.2886904046303359,\n",
       " 2: 0.38908517604040044,\n",
       " 3: 0.4652766421944845,\n",
       " 4: 0.3975088638733298,\n",
       " 5: 0.41675177305542727,\n",
       " 6: 0.2824337293934894,\n",
       " 7: 0.37057262930009627}"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## Eigenvector centrality\n",
    "\n",
    "nx.eigenvector_centrality(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{1: 0.0,\n",
       " 2: 0.12222222222222222,\n",
       " 3: 0.31111111111111106,\n",
       " 4: 0.1222222222222222,\n",
       " 5: 0.08888888888888888,\n",
       " 6: 0.05555555555555555,\n",
       " 7: 0.1}"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "### Betweenness centrality\n",
    "\n",
    "nx.betweenness_centrality(G)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### If you want to draw a complete graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "complete_G = nx.complete_graph(n=10)\n",
    "\n",
    "nx.draw(complete_G, with_labels=True, font_weight='bold')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example Graph using NetworkX:\n",
    "\n",
    "**Karate Club Graph:**\n",
    "\n",
    "Zachary's karate club is a social network of a university karate club, described in the paper \"An Information Flow Model for Conflict and Fission in Small Groups\" by Wayne W. Zachary.\n",
    "\n",
    "\n",
    "Ref: http://vlado.fmf.uni-lj.si/pub/networks/data/Ucinet/UciData.htm#zachary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NodeView((0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33))"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kk_G = nx.karate_club_graph()\n",
    "\n",
    "kk_G.nodes()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "EdgeView([(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 10), (0, 11), (0, 12), (0, 13), (0, 17), (0, 19), (0, 21), (0, 31), (1, 2), (1, 3), (1, 7), (1, 13), (1, 17), (1, 19), (1, 21), (1, 30), (2, 3), (2, 7), (2, 8), (2, 9), (2, 13), (2, 27), (2, 28), (2, 32), (3, 7), (3, 12), (3, 13), (4, 6), (4, 10), (5, 6), (5, 10), (5, 16), (6, 16), (8, 30), (8, 32), (8, 33), (9, 33), (13, 33), (14, 32), (14, 33), (15, 32), (15, 33), (18, 32), (18, 33), (19, 33), (20, 32), (20, 33), (22, 32), (22, 33), (23, 25), (23, 27), (23, 29), (23, 32), (23, 33), (24, 25), (24, 27), (24, 31), (25, 31), (26, 29), (26, 33), (27, 33), (28, 31), (28, 33), (29, 32), (29, 33), (30, 32), (30, 33), (31, 32), (31, 33), (32, 33)])"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kk_G.edges()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "nx.draw(kk_G, with_labels=True, font_weight='bold')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0: 0.3554834941851943,\n",
       " 1: 0.2659538704545025,\n",
       " 2: 0.31718938996844476,\n",
       " 3: 0.2111740783205706,\n",
       " 4: 0.07596645881657382,\n",
       " 5: 0.07948057788594247,\n",
       " 6: 0.07948057788594247,\n",
       " 7: 0.17095511498035434,\n",
       " 8: 0.2274050914716605,\n",
       " 9: 0.10267519030637758,\n",
       " 10: 0.07596645881657381,\n",
       " 11: 0.05285416945233648,\n",
       " 12: 0.08425192086558088,\n",
       " 13: 0.22646969838808148,\n",
       " 14: 0.10140627846270832,\n",
       " 15: 0.10140627846270832,\n",
       " 16: 0.023634794260596875,\n",
       " 17: 0.09239675666845953,\n",
       " 18: 0.10140627846270832,\n",
       " 19: 0.14791134007618667,\n",
       " 20: 0.10140627846270832,\n",
       " 21: 0.09239675666845953,\n",
       " 22: 0.10140627846270832,\n",
       " 23: 0.15012328691726787,\n",
       " 24: 0.05705373563802805,\n",
       " 25: 0.05920820250279008,\n",
       " 26: 0.07558192219009324,\n",
       " 27: 0.13347932684333308,\n",
       " 28: 0.13107925627221215,\n",
       " 29: 0.13496528673866567,\n",
       " 30: 0.17476027834493085,\n",
       " 31: 0.19103626979791702,\n",
       " 32: 0.3086510477336959,\n",
       " 33: 0.373371213013235}"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## eigenvector centrality of karate club graph \n",
    "\n",
    "\n",
    "kkg_ec_values = nx.eigenvector_centrality(kk_G)\n",
    "kkg_ec_values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "\n",
    "sns.displot(np.array(list(kkg_ec_values.values())), kind=\"kde\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average degree of kk_graph:  4.588235294117647\n"
     ]
    }
   ],
   "source": [
    "kk_d = [kk_G.degree(i) for i in kk_G.nodes()]\n",
    "\n",
    "print('Average degree of kk_graph: ',np.mean(np.array(kk_d)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[16,\n",
       " 9,\n",
       " 10,\n",
       " 6,\n",
       " 3,\n",
       " 4,\n",
       " 4,\n",
       " 4,\n",
       " 5,\n",
       " 2,\n",
       " 3,\n",
       " 1,\n",
       " 2,\n",
       " 5,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 3,\n",
       " 2,\n",
       " 2,\n",
       " 2,\n",
       " 5,\n",
       " 3,\n",
       " 3,\n",
       " 2,\n",
       " 4,\n",
       " 3,\n",
       " 4,\n",
       " 4,\n",
       " 6,\n",
       " 12,\n",
       " 17]"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kk_d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Karate Club: Node Degree')"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# We now plot the degree distribution to get a better insight\n",
    "\n",
    "plt.hist(kk_d,label='Degree Distribution')\n",
    "plt.axvline(np.mean(np.array(kk_d)),color='r',linestyle='dashed',label='Average Degree')\n",
    "plt.legend()\n",
    "plt.ylabel('Number of Nodes')\n",
    "plt.title('Karate Club: Node Degree')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.9.7 ('pytorchenv')",
   "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": "3.9.7"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "b504f5870eb083b25ac0ccd73401bf891a86c84f0b0ce8357843d17974c5ef43"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}