{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ideal Flow Network (IFN) - Beginner's Guide\n",
    "\n",
    "by [*Kardi Teknomo*](https://people.revoledu.com/kardi/)\n",
    "\n",
    "\n",
    "## How To Install:\n",
    "\n",
    "You need to have Python installed. Go to [Pypi.org](https://pypi.org/project/IdealFlowNetwork/) and find IdealFlowNetwork version 1.5.1 (or latest version)\n",
    "\n",
    "> pip install IdealFlowNetwork\n",
    "\n",
    "Alternatively, download the zip file from [GitHub](https://github.com/teknomo/IdealFlowNetwork), unzip the file in a folder. \n",
    "1. Go to folder *pkg*\n",
    "\n",
    "> cd *your_folder_name*`/pkg`\n",
    "\n",
    "2. In command Prompt > `pip install .`\n",
    "   \n",
    "> pip install . \n",
    "\n",
    "It copies the package files to your Python environment. If you computer does not have pip, check [ensurepip documentation](https://pip.pypa.io/en/stable/installation/#ensurepip)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Basic Use of IFN\n",
    "\n",
    "In this tutorial, you will learn how to use Ideal Flow Network module for defining and analyzing general networks.\n",
    "\n",
    "To use the Ideal Flow Network module, you just need to import it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from IdealFlow import Network as net  # from package import module as alias"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Network module contains IFN class. Let us call the IFN class and display the version."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "IFN version: 1.15\n"
     ]
    }
   ],
   "source": [
    "n = net.IFN()\n",
    "print('IFN version:', n.version)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you set the name of the network, you can call it's name as its formal *representation*."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "My First Network"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = net.IFN(\"My First Network\")\n",
    "n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, printing it would produce the adjacency list. Since we did not yet define any link or node, it is just an empty adjacency list."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{}\n"
     ]
    }
   ],
   "source": [
    "print(n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In IFN class, a network is expanded by adding links. When you add a link, the nodes is automatically added.\n",
    "\n",
    "You can add a link by specifying the `start_node` and `end_node` and optionally, you can specify the link `weight`, which is caled *`flow`*. If you do not specify the link flow, by default, the flow is equal to one.\n",
    "\n",
    "When a link does not exist, `add_link(start_node,end_node,[flow])` would create that link. When the link already exists, would only update by adding the flow.\n",
    "\n",
    "Printing the network, would give you the string of adjacency list of the network. \n",
    "\n",
    "You can `show()` the network to visualize it as a figure. The total flow in the network is indicated as $\\kappa$ in the totle of the figure, after the network name.\n",
    "\n",
    "In the example below, node *b* is a sink node, therefore it has empty *end_node*.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'a': {'b': 3}, 'b': {}}\n"
     ]
    },
    {
     "data": {
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tzvP27dvrxIkT+tOf/qRly5ZJkqKjo7V48WKvrqiScv4v545H8Tdfg05RwsLCdNddd+mee+4pcOxYcdyvpCnpOJKKxqowIEkjR450wsBbb72lp556SsHBwTLGeFxqVtK5BTp27KgOHTro+++/l5RzdCB3rnB3O3fu9LjEsSwHDno7HbE//7N17tzZ6zDVqVMn54/SE088oaioKA0fPlxVq1b1W38C4cknn9T//M//KCMjQ8ePH9e0adM89lS95f498eWyVfdL+fbv36/9+/f7vAdUmF69ejlhYOXKlR4370pNTXX2ljp27KjIyEiPDfzKlSs9wsDOnTs97gFSWBhYv36987hbt26qWbNmsf0MDg7WgAEDnIF7X3/9dbFtfPnuFmTZsmW6+eablZaWJkm67LLL9NlnnxV7KWZJuc+M6kvYTE5O1qlTp5znkZGR6tSpk3PENCQkRF9//bUuvfRSr5dZv359J0gEWps2bZxgkp2drRMnTmjXrl06fvy4MjIy9PLLL+uVV17RmDFjNGPGDFWpUsXrZbtPXZwb+C501oWB2NhYde/eXWvXrtWBAwe0bNky9e/fX6tWrXISXocOHZxrSUti7NixuvvuuyXlXLs9bdq0fBu2N954w3l8ySWXeL23VxKlnY64JHz5A/LQQw9p/vz5ysjIUEZGhu69916NGzdOffv2Vffu3XX11VcXOLVoRRcTE6P777/fCYMzZ87Un//8Z/3hD3/waTlbt251Hn/66afasWNHifqTmprq1zDw/PPPS5LWrVunzMxM5/ezevVq5whb7iH/Dh06qGbNmjpx4kS+qwzcn7dq1Ur169cv8Gf+9NNPzuPi5ixw5/5/ec+ePcrOznZOcxTEl+9uXp988omeeuop50qH7t27a+nSpapVq1aJl1mc3NAhyac7FOaGuVwjR470WNb58+e1cuXKUq2PQHr44Yf18MMPe7xmjNH69es1ZcoUff755zLG6LXXXtOBAwc8jjwVx/3qAfd1diGzasxALve9/tzDqO43JSrtjINDhw51kuPRo0fzTUxx9uxZj8leRo8eXaHPf5dEjRo1vK7bunVrvfvuux6H606dOqUlS5boL3/5i66++mrVrl1bAwcO1MKFCz0uKavoHnvsMWcP9uzZs3r88cd9Xsbvv//uPE5KStLnn3/udXHnz/uwd+/e3dn4p6WlOZfhSZ6nJHL38oODgxUfHy8p5yhF7qWJhdUvSO4NZiSpXr16XvfVva4xRsePHy+yvi/f3by+//575/sZEhKi119/vUyDQF65IcwbecNAWlqaQkJCFBUV5bw2ZcoUnTlzxm/9CzSXy6UuXbpo2bJl+utf/+q8/sEHH3g9Vb3k23q+UFgZBm6++WZnw/Pxxx8rOTnZub1x1apVfbqzYUHCw8M1cuRI57n72ABJeu+993T06FFJOdPYVsbpjova8yrIoEGDlJycrIkTJxa455yWlqZPPvlEw4YNU1xcnMch44qsTp06HjMRvv322z4POPLXnkd2drZfliPlHFJ2H7znvkHP3dOvVq2aOnfu7Lye91SBlPNHdc2aNc7rhQ0elOSMm5Dk0yHdvHP0nz17tsj6vn533fXq1cvZazx//rz69etX5re7jYiIcB77suF2Hzwo5YSmFStWeMyPsm/fPr366qul72QFNH36dI/xXL4MsnVfz+7r/0JmZRiIiIhwJj7JzMzUkCFDnF/uDTfcUOStLL01ZswYZ2//q6++8ji0636VwU033eTTXk5lFh0drWnTpmnv3r1KSkrSnDlzNHLkSDVt2tSjXnJysvr06ZNvz6ai+stf/uIM7MrOztajjz7qU3v3Pcvp06fL5FwS7HPp0aOHHz+V58Y9NwD8+uuvzsbvmmuu8dhoF1T/hx9+cIJxUFBQkX10Xw/u57qLk/d+9WW5p96tWzf9+9//VmRkpKSc9REfH5/vyiV/io6Odh7nrktvuP//ad++vTZu3Kj4+HiNGDHC4258zzzzjNdHlQ4dOqSEhIQyKcXdVdBXISEhHgNFN2/e7HWYcl/P7uv/QmbdmIFcd911l3PPefdLo/y1lx4bG6u+ffvqiy++kJQTAF5++WXt2LHD4/KoyjLjoL81b95czZs3d34fW7Zs0QsvvOCMzk9PT9ejjz6a71B4RRQeHq7JkyfrnnvukZRz3n/t2rXq3r27V+0bNGigI0eOSMr5Y1tR9OrVS1OnTpUkbdiwQenp6UXOInjZZZcpOjpahw8f1urVq5Wdne1Rv3379kVuqKOjo531kJKS4nU/3etGRESU+Wxx8fHxWrZsma677jqdPHlS+/fvV48ePbRixYoyuZrAPSz/9ttvXrXZt2+fx8DDV1991bmUMiQkRJMmTdLtt98uKWfD99xzzzm/66KcOXOmzP5PXn311X5fpvvlo9nZ2Tp27JhX4y7c13N5j8cqK1YeGZCkLl265LvkLyYmpsjDlL4aO3as8/jtt99Wenq6xymDuLg45zwqita2bVvNnz9ft912m/Pa6tWrPQ4d53I/zFtRzu3l3uwm1yOPPOJ12y5dujiP/X16pDTrqkuXLs7A2HPnzmndunVFzhfgcrmcqXKPHTumzZs3ez0FsZQzCDGXL+vB/QqCvDenKStdu3bV8uXLnXBz8OBB9ezZ02MwqL9cdtllzmNvT0m4HxUICgrKNyBz6NChHsHlxRdfrDSj5t3lHT/i7VFh9/V8oU/LnMvaMCDJ47y+lHNddmnOF+Y1YMAAJ3keP35c8+bN09tvv+28f++99/rtZ9nCfcKWzMzMAg+L5h6ilXw7h1qWgoODnUtaJembb77R4sWLvWr7xz/+0Xm8fv16/fjjj37rV2nWVVhYmMd87qtWrXLmC6hVq1aB89y7B4QvvvhC69atc54XFwbcTyHs2rXLY9BiYfbu3esxh4G/T5UUpWPHjlq1apUzIC81NVU9e/bMd66+tNzHbhw5csSru++5h4FmzZrlO++de0fCXGlpaXryySeLXW6TJk1KfBqruOLvSdEkz8t2GzZs6NVRgRMnTnjcNbWoia8uJFaHgUceeUSZmZlOcf/y+0NwcLBGjx7tPB8/frxz7i08PFwjRozw68+7UPmyR5r3Vq8FJfmGDRs6j3ft2lXyjvnZDTfc4LGX//e//92rdoMGDXKOYhljdO+99yozM9MvfSrtunLfgL/11lvObJLusxQWVv/ll192zv3nTk5UlFtvvdVjboHx48cXOyjSvU5ISIhzyW95ad++vVavXu2cVz569Kh69+7tVZDxVocOHTyugPBm2e6BpH379gXWuemmmzwC3RtvvFFpJtiRcoLAZ5995jy//vrrvWrnvn6rVq3qMUj2QmZ1GHC5XAoJCXFKWVzed8899ziDqNz3vG699dZyveSoImvTpo3mzp1b7D3dU1NTPe7y1rlz5wInJnI/nLx169YKNa7AfaS2txvfoKAgzZgxw/l+rlu3TgkJCdq3b1+xbX/88Uc98MADeu655wp8v7Tryn3jnjvLn1T4VQGXXnqpc7TMvX6nTp2KHZUdERHhMbnRunXrNGrUKI+77uXKzs7WxIkT9e677zqv3X333T7P8eAPbdq00Zo1a9SgQQNJOUcJ+/Xr59UESN4IDQ31mIwq7934CpJ38GBBXC6XpkyZ4jw/d+6cJk2aVIqelp0dO3borrvu8piauShLlizRoEGDnB2RqlWreny3iuK+fuPj4yvHHQtl8QDC8hIdHa3Bgwc7t0XOxcDB/7djxw7dfffduv/++9W3b1916tRJcXFxqlOnjoKDg3Xo0CGtX79eb775psdpgcIOG/bq1UuNGjXSvn37ZIxRQkKC4uLi1KRJE4/R7Q899FCxh6b97ZprrtHAgQP18ccf+9Tuj3/8o6ZNm6aJEydKyjkkf8kll2jw4MHq2bOnLr74YlWrVs0ZsPbDDz9o1apVzimFwv6Il3ZdXXnllapevXq+0f1FrdfevXt73GuhuPruJk6cqGXLljmDcOfNm6evvvpKo0aNUtu2bRUcHKydO3dq7ty5Hnu/LVq0cCZJCoS4uDh9+eWX6t27t3777TedPHlS1157rT755BO/jBsaMmSIc9rp008/LfJeGMeOHfM4zF1YGJCk/v37q3Pnzs4YjX/961965JFHymQgZGlkZmZq3rx5mjdvnuLi4tS7d29dfvnlatSokWrUqKHMzEylpqZq69atWrp0qcflvS6XS6+++qrXkyu5H00o7HbcFyS/3vaogijqbnIl5c1dCwuzbt06j7tvtWvXzi99KkxFuGuhL3cYc++rNyU4ONjMnDmzyGWuWLHCREREFLmcefPmed3HgpT0e7Z9+3bn9r7upai7FuaaO3eux50xvS1F/T5Ku67cb8+r/7vjX1HefvvtfMtfs2ZNsZ8914kTJ0zPnj29/uzt2rUzBw4cKHKZJf3u+to2JSXF429JtWrViry1srfOnDljatWq5Sx38+bNhdZduXKlx/pJTU0tctkrVqzwqH/99deXur/+tnnzZp//T0g5d9185513vP45u3btctqGh4cXeqv1C5HVpwnKS5s2bRQcHOw856iAp5kzZ+q6664rdua30NBQDRo0SBs3bvS4UqMgvXv31vbt2zVx4kR17txZdevWrTDTGbdu3brE40VGjhyppKQk3X///cXOzR8ZGan+/ftr/vz5Gj9+fKH1Sruu8p4SyL1ioDB5jwKEh4f7dN61Ro0aWr58uV5//fUiL+uqX7++pk+frg0bNjiH6APtkksu0dq1a5290PT0dA0YMKDU8/lXrVrVY0C0+0DlvNxPETRq1Eh169Ytctm9e/f2+J0uXbpUGzZsKEVv/a9JkyZ6/PHH1bFjR6++u7n1k5KSfJpkzn293nHHHSW6yVFF5TKmglx7VYm99tprzh3Wqlevrv3793uM4kaO7Oxs/fjjj0pKStJvv/2m06dPy+VyqVatWmrWrJmuvPJKxlm4ycrK0qZNm5SYmKjff/9dZ86cUUREhBo0aKCWLVuqdevWFSYAlaVt27Zp8+bNOnz4sLKzs1WvXj21adNGHTp0qHTTfBfll19+UWxsrM6fP6+oqCjt27cv3+yLNjh79qy2b9+ulJQUHThwQKdPn1ZoaKhq1KihRo0aqV27diW6PXVWVpZiYmK0f/9+uVwuJSYmqmXLlmXwCQKDMFAOLr/8cm3btk1SztwDM2fODHCPAFRGd999t3OfldmzZ2vUqFEB7lHlsXDhQg0bNkxSzgDwRYsWBbhH/kUYKGMfffSRxyUriYmJHpPPAIC/7N27V82bN1dGRoZiY2O1c+dOj1OUKLm2bdtq69atCg4O1o4dO/JNWnehY8xAGfrpp5/04IMPOs9vuukmggCAMhMTE+PcjS85OdmZvhul8+677zqzR44dO7bSBQGJIwN+dfjwYWeSoUOHDmnjxo3O7UzDw8O1ZcsWjxuAAIC/paenq2XLlvr111/VuHFj7dq1y6uZ9VCwzMxMxcXFKSUlRdHR0dq1a1exg3cvRIQBP/r555/z3WFPyrmO9c0339Tw4cMD0CsAAIrGpENlJCgoSFFRUerSpYvGjx/vMYc7AAAVCUcGAACwHAMIAQCwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwXEigOwAAQHnJyspSWlqagoKCFBkZGejuVBgcGQAAVGoZGRmaP3++unTpopCQENWsWVM1a9ZUfHy8XnzxRZ06dSrQXQw4lzHGBLoTAACUhaNHj+r666/Xf/7zn0LrREVFady4cXrggQesPVoQ0DBw+vRpJScnKyMjQ2FhYYqNjbX2FwEA8K+0tDRdddVV+vHHH72qHxUVpfHjx+v+++8vt21RRdkOlnsYSExM1KxZs7R8+XIlJSXJ/ce7XC61aNFCffv21X333adWrVqVZ9cAAJXIlClTNGnSJJ/b1a1b1wkFERERfu9XRdwOllsY2LNnj8aOHatly5YpOjpagwcP1lVXXaVWrVqpWrVqSk9PV2Jior777jstXrxYhw8fVkJCgl577TU1bdq0PLoIAKgkTp8+rQYNGigtLa3Ey6hXr57Gjx+vsWPH+iUUVOjtoCkHs2fPNhEREebiiy82CxYsMBkZGUXWz8jIMAsWLDAxMTEmIiLCzJ49uzy6CQCoJDZs2GAk+aXUq1fPPPfccyYtLa3E/ano28EyDwNTp041ksyoUaPMyZMnfWp78uRJM2rUKCPJTJ06tYx6CACobObMmeO3MJBboqOjzfPPP+9zKChoO7h69WojyUyaNKnItuW1HSzTMDB79mwjyTz55JOlWs6UKVOMJPPPf/7TTz0DAFRmM2bM8HsYyC3169c3L7zwgklPTy+2H4VtB70NA7nKejtYZmFg9+7dJiIiwowaNarUy8rOzjajRo0yERERZvfu3fneP3/+vFm0aJEZO3as6d69e5l9ASgUCoVCyS0NGjQwM2bMKDQUFLUd9DUMFLcdLK0yCwMJCQnm4osv9vnUQGFOnDhhYmJiTEJCgsfra9euNXFxcQH/UlAoFArFztKqVSuzY8cOn7aDvoaBoraD/lAmYWDHjh1GklmwYEG+9zIyMszLL79s+vXrZxo3bmyqVKli6tWrZ2688UazadOmIpe7YMECI8kkJiYaY3JWZnh4eMC/CBQKhUKxu1SrVs188cUXXm0Hc7dfUk4YWLdunYmPjzeRkZGmZs2a5qabbjI//fSTV9tBfymTMPDggw+a6OjoAkdLHjhwwAQFBZn4+HgzevRoM2HCBDNkyBATFhZmqlatar799ttCl3v27FkTHR1tHnzwQXP06FFTs2bNgH8BKBQKhUKRZP7whz+YU6dOFbsdNOb/w8C1115rqlSpYgYNGmQmTpxoBg0aZFwul6lXr55JSUkpcjvoT2USBlq2bGnGjBlT4Htnz541v/32W77Xt2/fbiIjI02fPn2KXPaYMWNMXFycefzxxwP+i6dQKBQKxb089thjxW4Hjfn/MCDJzJo1y+O9WbNmGUlmwIABRW4H/cnvYeDkyZPG5XKZuXPn+tx24MCBpkqVKubcuXOF1pkzZ45xuVwmNjY24L90CoVCoVDcy5VXXunVdjA3DDRv3txkZWV5vJeVlWWaNWtmXC6XOXz4cKHbwdyjEP7g97sWpqSkyBhT5BSKP/zwg4YNG6aYmBhVqVJFLpdLLpdLH3/8sc6dO6cjR44U2rZ169YyxmjPnj3+7joAAKWybds2Z4phb6YS7tq1q4KCPDfFQUFB6tq1q4wx2rJlS742udvB5ORkv/U7xG9L+j8ZGRmSpGrVqhX4/tdff61evXpJkvr166dmzZopMjJSLpdLH374obZs2eIsoyDh4eGScu5JDQBARZKRkeHcErmw7aC7+vXrF/n6iRMn8r2Xux0salvpK7+HgbCwMElSenp6ge8/9dRTysjI0Lp163TNNdd4vLdhw4YCU5C7M2fOSMq5kURRRxAAAChvzZo1U+3atSUVvh10d+jQoSJfr1mzZr73creDudtbf/D7aYLY2Fi5XC4lJiYW+H5KSorq1KmTLwikp6dr06ZNxS5/x44dcrlcio+P90t/AQDwl6uuuqrY7aC7r776StnZ2R6vZWdn6+uvv5bL5VLbtm3ztcndDsbGxvqt334PA5GRkWrRooW+++67At+/+OKLdezYMe3YscN5LSsrS+PGjVNqamqxy9+4caNatmypyZMny+Vy+a3fAACURpUqVfSPf/yj2O2gu127dmn27Nker82ePVu7du1S//79Va9evXxtcreDkZGRfut7uc8z8PHHHxtJplatWmb06NHmoYceMpdffrmJiooyPXr0MJLMnj17Clxu3usrH3vssYCPHKVQKBQKRZJ54oknvNoOGlP8PAN169a98OcZKG7mpffff99cccUVplq1aqZu3brmlltuMSkpKWbEiBFGKjwM5J15KTs7m0BAoVAolICWkJAQM2PGDJOdne31drCgGQgjIiJMjRo1zI033lg5ZiA0pvzuTWCMMVu3bjW33nqradiwYcC/FBQKhUKxp3Tv3t188803Ad8OlpbLGGNUBvbs2aM2bdpo6NCh+c6H+MoYo9GjR2vhwoXatm2bmjZtWmjdo0ePavfu3R6v5c5jUFbPL5Rl5j7217+l+Rl563v7HLiQ5f1zW9Cf38JeK6jthf5aWS5/+vTpeuONN1RW4uPjNXnyZPXo0aPQOoHaDpb0B5SZwu7j7Ivs7Owyv48zAKBymTFjRpkcCejRo4dZvXq11/24ULaDZRoGjDFm6tSpRpIZNWqUz4dKTpw4YUaNGmUkmaeeeqqMeggAqGw+/fRTv4aAnj17mjVr1pSoLxfCdrDMw4AxOckoIiLCxMTEmAULFhQ6ujLX2bNnzYIFC0xMTIyJiIjgiAAAwCe//vqrX0JAr169zJdfflnq/lT07WCZjRnIa8+ePRo7dqyWLVum6OhoDR48WFdeeaVat26t8PBwnTlzRjt27NDGjRu1ePFiHT58WAkJCXrttdf8f24EAFDp3XLLLXrvvfdK1LZ3796aNGmSunXr5rf+VOTtYLmFgVyJiYmaNWuWVqxYoZ07d3oMAHG5XGrZsqX69OmjMWPGKC4urjy7BgCoRFJSUnTZZZfp7NmzXrfp06ePJk2alG+WXH+qiNvBcg8D7k6fPq3k5GRlZGQoLCxMsbGx/p1RCQBgta+++koDBw7UsWPHiqzXt29fTZo0SV27di2nnuWoKNvBgIYBAADK2q5duzRlyhS99957OnfunPN6WFiYrr32Wk2YMEFdunQJYA8DjzAAALBCamqqNm/erNOnT6tq1aqKj49XREREoLtVIRAGAACwnN/vWggAAC4shAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAOC7BQuk4cOltm2l6GgpNFSqWVPq2FF6+mnp9OlA9xCAD1zGGBPoTgC4wFxzjfT111JcnPSHP0h16kiHDknr10tnzkixsdKXX0oXXRTongLwAmEAgO+++UZq1iwnBLj7/Xfphhuk//xH+tOfpIULA9I9AL4hDADwr3XrpO7dc4LC778HujcAvMCYAQD+FRKS829YWGD7AcBrhAEA/nPqlDR5cs7jQYMC2hUA3uM0AYCS++IL6Z13pOzs/x9AeOqUlJAgLVqUc4UBgAovJNAdAHABS0yU5s/3fG3YMOmFFwgCwAWEIwMASi8zU9q7V1q6VJo6VXK5pA8+yBlICKDCIwwA8K9vvpE6d5YaN5aSkqTw8ED3CEAxGEAIwL86dZJatZJ+/VXauDHQvQHgBcIAAP+LiMj59/DhwPYDgFcIAwD868gRacuWnMfNmwe2LwC8QhgA4JvExJwbFZ09m/+9XbukIUOkjAzp6qulNm3Kv38AfMYAQgC+WbNG6tkz51RA+/Y5AwXPncu5mmDTppw5B+LipGXLpJiYQPcWgBcIAwB8k5oqzZ6dcw+CnTtznmdm5tyLoE0b6aabpJEjmY4YuIAQBgAAsBxjBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsNz/AlBScx0hc1iNAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n.add_link('a','b',3)\n",
    "print(n)\n",
    "n.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You don't need to add node first when you add a link. Method `add_node(node_id)` would \n",
    "add a new node to the network if that node does not exist. This method is useful for adding an isolated node."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'a': {'b': 3}, 'b': {}, 'c': {}}\n"
     ]
    },
    {
     "data": {
      "image/png": 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XH5Xmb4gxRps3b3aeX3311Tp+/LjuvvtupaamSpJiY2O1ePFin66okvL/Lxf0R/G30gad4kREROihhx7S8OHDvfYdK4n7lTRl7UdS2VgVBiTpwQcfdMLA22+/rSlTpig0NFTGGI9Lzco6tkDnzp3VsWNHffXVV5Lyjw4UjBXubseOHR6XOAay46CvwxH78z9b165dfQ5TXbp0cf4o/f73v1dMTIzuv/9+Va9e3W/tCYZnn31Wf/nLX5STk6Njx45p6tSpHnuqvnL/nZTmslX3S/n27dunffv2lXoPqCi9evVywsCKFSs8bt51+PBhZ2+pc+fOio6O9tjAr1ixwiMM7Nixw+MeIEWFgS+++MJ5fMMNN+iSSy4psZ2hoaHq37+/03Hv888/L7FOaX673qSmpmrQoEE6ffq0JOnKK6/U0qVLS7wUs6zcR0YtTdjMyMjQyZMnnefR0dHq0qWLc8Q0LCxMn3/+ua644gqfl9mgQQMnSARbQkKCE0zy8vJ0/Phx7dy5U8eOHVNOTo5eeeUVvfrqqxo1apReeuklVatWzedluw9dXBD4LnbWhYG4uDh1795da9as0f79+5Wamqpbb71VK1eudBJex44dnWtJy2L06NEaNmyYpPxrt6dOnVpow/bnP//ZedyiRQuf9/bKorzDEZdFaf6APPbYY5o3b55ycnKUk5Ojhx9+WOPGjVPfvn3VvXt3XXvttV6HFq3smjZtqkceecQJgzNmzNCvfvUrXXbZZaVazjfffOM8/sc//qFt27aVqT2HDx/2axh44YUXJElr167VuXPnnO9n1apVzhG2gkP+HTt21CWXXKLjx48XusrA/Xnbtm3VoEEDr++5a9cu53FJYxa4c/+/nJmZqby8POc0hzel+e1e6O9//7umTJniXOnQvXt3ffjhh6pdu3aZl1mSgtAhqVR3KCwIcwUefPBBj2WdP39eK1asKNf6CKaxY8dq7NixHtOMMfriiy/0zDPP6JNPPpExRjNnztT+/fs9jjyVxP3qAfd1djGzqs9AAfe9/oLDqO43JSrviIODBw92kuOPP/5YaGCKM2fOeAz2MmLEiEp9/rssatWq5fO87dq10/vvv+9xuO7kyZNasmSJHn/8cV177bWqU6eObrvtNi1cuNDjkrLK7sknn3T2YM+cOaPf/e53pV7G0aNHncfp6en65JNPfC7u/Hkf9u7duzsb/9OnTzuX4UmepyQK9vJDQ0PVo0cPSflHKQouTSxqfm8KbjAjSfXr1/e5re7zGmN07NixYucvzW/3Ql999ZXz+wwLC9Prr78e0CBwoYIQ5osLw8Dp06cVFhammJgYZ9ozzzyj7Oxsv7Uv2Fwul6677jqlpqbq17/+tTP9b3/7m89D1UulW88XCyvDwKBBg5wNz8cff6yMjAzn9sbVq1cv1Z0NvYmMjNSDDz7oPHfvGyBJf/3rX/Xjjz9Kyh/GtioOd1zcnpc3AwYMUEZGhlJSUrzuOZ8+fVp///vfNWTIEMXHx3scMq7M6tat6zES4TvvvFPqDkf+2vPIy8vzy3Kk/EPK7p333DfoBXv6UVFR6tq1qzP9wlMFUv4f1dWrVzvTi+o8KMnpNyGpVId0Lxyj/8yZM8XOX9rfrrtevXo5e43nz59Xv379An672xo1ajiPS7Phdu88KOWHpuXLl3uMj7J371699tpr5W9kJTRt2jSP/lyl6WTrvp7d1//FzMowUKNGDWfgk3PnzunOO+90vtzbb7+92FtZ+mrUqFHO3v5nn33mcWjX/SqDgQMHlmovpyqLjY3V1KlT9d133yk9PV1vvPGGHnzwQTVv3txjvoyMDPXp06fQnk1l9fjjjzsdu/Ly8vTEE0+Uqr77nuW0adNk8i8JLnW58cYb/fipPDfuBQHg+++/dzZ+119/vcdG29v8mzZtcoJxSEhIsW10Xw/u57pLcuH96gO5p37DDTfon//8p6KjoyXlr48ePXoUunLJn2JjY53HBevSF+7/f66++mpt2LBBPXr00NChQz3uxveHP/zB56NKBw8eVGJiYkBKSXcVLK2wsDCPjqIbN270OUy5r2f39X8xs67PQIGHHnrIuee8+6VR/tpLj4uLU9++ffWvf/1LUn4AeOWVV7Rt2zaPy6OqyoiD/taqVSu1atXK+T42b96sF1980emdn5WVpSeeeKLQofDKKDIyUpMmTdLw4cMl5Z/3X7Nmjbp37+5T/YYNG+rIkSOS8v/YVha9evXS5MmTJUnr1q1TVlZWsaMIXnnllYqNjdWhQ4e0atUq5eXlecx/9dVXF7uhjo2NddbD7t27fW6n+7w1atQI+GhxPXr0UGpqqm655RadOHFC+/bt04033qjly5cH5GoC97D8ww8/+FRn7969Hh0PX3vtNedSyrCwME2cOFH33nuvpPwN3x//+Efnuy5OdnZ2wP5PXnvttX5fpvvlo3l5efrpp5986nfhvp4ruj9WoFh5ZECSrrvuukKX/DVt2rTYw5SlNXr0aOfxO++8o6ysLI9TBvHx8c55VBSvffv2mjdvnu655x5n2qpVqzwOHRdwP8xbWc7tFdzspsBvfvMbn+ted911zmN/nx4pz7q67rrrnI6xZ8+e1dq1a4sdL8DlcjlD5f7000/auHGjz0MQS/mdEAuUZj24X0Fw4c1pAqVbt25atmyZE24OHDignj17enQG9Zcrr7zSeezrKQn3owIhISGFOmQOHjzYI7i8/PLLVabXvLsL+4/4elTYfT1f7MMyF7A2DEjyOK8v5V+XXZ7zhRfq37+/kzyPHTumuXPn6p133nFef/jhh/32XrZwH7Dl3LlzXg+LFhyilUp3DjWQQkNDnUtaJek///mPFi9e7FPdm2++2Xn8xRdfaPv27X5rV3nWVUREhMd47itXrnTGC6hdu7bXce7dA8K//vUvrV271nleUhhwP4Wwc+dOj06LRfnuu+88xjDw96mS4nTu3FkrV650OuQdPnxYPXv2LHSuvrzc+24cOXLEp7vvuYeBli1bFjrvXXBHwgKnT5/Ws88+W+JymzVrVubTWCUVfw+KJnlettuoUSOfjgocP37c466pxQ18dTGxOgz85je/0blz55zi/uP3h9DQUI0YMcJ5Pn78eOfcW2RkpIYOHerX97tYlWaP9MJbvXpL8o0aNXIe79y5s+wN87Pbb7/dYy//t7/9rU/1BgwY4BzFMsbo4Ycf1rlz5/zSpvKuK/cN+Ntvv+2MJuk+SmFR87/yyivOuf+CwYmKc9ddd3mMLTB+/PgSO0W6zxMWFuZc8ltRrr76aq1atco5r/zjjz+qd+/ePgUZX3Xs2NHjCghflu0eSK6++mqv8wwcONAj0P35z3+uMgPsSPlBYOnSpc7zn//85z7Vc1+/1atX9+gkezGzOgy4XC6FhYU5JRCX9w0fPtzpROW+53XXXXdV6CVHlVlCQoLefPPNEu/pfvjwYY+7vHXt2tXrwETuh5O/+eabStWvwL2ntq8b35CQEL300kvO73Pt2rVKTEzU3r17S6y7fft2/fKXv9Qf//hHr6+Xd125b9wLRvmTir4q4IorrnCOlrnP36VLlxJ7ZdeoUcNjcKO1a9cqOTnZ4657BfLy8pSSkqL333/fmTZs2LBSj/HgDwkJCVq9erUaNmwoKf8oYb9+/XwaAMkX4eHhHoNRXXg3Pm8u7Dzojcvl0jPPPOM8P3v2rCZOnFiOlgbOtm3b9NBDD3kMzVycJUuWaMCAAc6OSPXq1T1+W8VxX789evSoGncslMUdCCtKbGyskpKSnNsiF6Dj4P/Ztm2bhg0bpkceeUR9+/ZVly5dFB8fr7p16yo0NFQHDx7UF198obfeesvjtEBRhw179eqlxo0ba+/evTLGKDExUfHx8WrWrJlH7/bHHnusxEPT/nb99dfrtttu08cff1yqejfffLOmTp2qlJQUSfmH5Fu0aKGkpCT17NlTl19+uaKiopwOa5s2bdLKlSudUwpF/REv77rq1KmTatasWah3f3HrtXfv3h73WihpfncpKSlKTU11OuHOnTtXn332mZKTk9W+fXuFhoZqx44devPNNz32flu3bu0MkhQM8fHx+ve//63evXvrhx9+0IkTJ3TTTTfp73//u1/6Dd15553Oaad//OMfxd4L46effvI4zF1UGJCkW2+9VV27dnX6aLz77rv6zW9+E5COkOVx7tw5zZ07V3PnzlV8fLx69+6tq666So0bN1atWrV07tw5HT58WN98840+/PBDj8t7XS6XXnvtNZ8HV3I/mlDU7bgvSn697VElUdzd5MrKl7sWFmXt2rUed9/q0KGDX9pUlMpw18LS3GHMva2+lNDQUDNjxoxil7l8+XJTo0aNYpczd+5cn9voTVl/Z1u3bnVu7+teirtrYYE333zT486Yvpbivo/yriv32/Pqf3f8K84777xTaPmrV68u8bMXOH78uOnZs6fPn71Dhw5m//79xS6zrL/d0tbdvXu3x9+SqKioYm+t7Kvs7GxTu3ZtZ7kbN24sct4VK1Z4rJ/Dhw8Xu+zly5d7zP/zn/+83O31t40bN5b6/4SUf9fNBQsW+Pw+O3fudOpGRkYWeav1i5HVpwkqSkJCgkJDQ53nHBXwNGPGDN1yyy0ljvwWHh6uAQMGaMOGDR5XanjTu3dvbd26VSkpKeratavq1atXaYYzbteuXZn7izz44INKT0/XI488UuLY/NHR0br11ls1b948jR8/vsj5yruuLjwlUHDFQFEuPAoQGRlZqvOutWrV0rJly/T6668Xe1lXgwYNNG3aNK1bt845RB9sLVq00Jo1a5y90KysLPXv37/c4/lXr17do0O0e0flC7mfImjcuLHq1atX7LJ79+7t8Z1++OGHWrduXTla63/NmjXT7373O3Xu3Nmn327B/Onp6aUaZM59vd53331luslRZeUyppJce1WFzZw507nDWs2aNbVv3z6PXtzIl5eXp+3btys9PV0//PCDTp06JZfLpdq1a6tly5bq1KkT/Szc5Obm6uuvv1ZaWpqOHj2q7Oxs1ahRQw0bNlSbNm3Url27ShOAAmnLli3auHGjDh06pLy8PNWvX18JCQnq2LFjlRvmuzjffvut4uLidP78ecXExGjv3r2FRl+0wZkzZ7R161bt3r1b+/fv16lTpxQeHq5atWqpcePG6tChQ5luT52bm6umTZtq3759crlcSktLU5s2bQLwCYKDMFABrrrqKm3ZskVS/tgDM2bMCHKLAFRFw4YNc+6zMnv2bCUnJwe5RVXHwoULNWTIEEn5HcDfe++9ILfIvwgDAfbRRx95XLKSlpbmMfgMAPjLd999p1atWiknJ0dxcXHasWOHxylKlF379u31zTffKDQ0VNu2bSs0aN3Fjj4DAbRr1y49+uijzvOBAwcSBAAETNOmTZ278WVkZDjDd6N83n//fWf0yNGjR1e5ICBxZMCvDh065AwydPDgQW3YsMG5nWlkZKQ2b97scQMQAPC3rKwstWnTRt9//72aNGminTt3+jSyHrw7d+6c4uPjtXv3bsXGxmrnzp0ldt69GBEG/Oi///1voTvsSfnXsb711lu6//77g9AqAACKx6BDARISEqKYmBhdd911Gj9+vMcY7gAAVCYcGQAAwHJ0IAQAwHKEAQAALEcYAADAcoQBAAAsx9UEgMVOnTqljIwM5eTkKCIiQnFxcdw3A7AQYQCwTFpammbNmqVly5YpPT1d7hcUuVwutW7dWn379tXIkSPVtm3bILYUQEXh0kLAEpmZmRo9erRSU1MVGxurpKQkXXPNNWrbtq2ioqKUlZWltLQ0ffnll1q8eLEOHTqkxMREzZw50+tgWgCqDsIAYIE5c+bo8ccfV7169TR16lQNGjRI1apVK3L+s2fPatGiRUpJSdHRo0f18ssvcwc8oAqjAyFQxU2ZMkXDhw/X4MGDtWXLFg0ZMqTYICBJ1apV05AhQ7R161YNHjxYw4cP15QpUyqoxQAqGn0GgCpszpw5euqpp/Tss8/qqaeeKnX9mjVravbs2WratKmeeuopNWzYUMOGDQtASwEEE6cJgCoqMzNTCQkJGjx4sGbPnl2uZRljNGLECC1cuFBbtmyhDwFQxRAGgCrq5ptv1vbt27VlyxbVrFmz3Ms7ceKEEhIS1LZtWy1dutQPLQRQWdBnAKiC0tLSlJqaqqlTpxYbBNasWaPbb79dDRo0UEREhC677DINHDhQn376aaF5a9Wqpeeee06pqanavn17IJsPoIIRBoAqaNasWYqNjdWgQYOKnGf69Om68cYbtWzZMvXt21djx45Vr169tHnzZi1atMhrnaSkJMXGxupPf/pToJoOIAjoQAhUQcuWLVNSUlKRVw1s3rxZY8aMUaNGjfTZZ5+pWbNmzmvGGO3fv99rvYiICCUlJWn58uWBaDaAIOHIAFDFnDx5Uunp6brmmmuKnOf1119XXl6eJk+e7BEEpPxRCC+99NIi63bq1Ek7duzQqVOn/NVkAEFGGACqmN27d8sYU+xQwuvXr5ck9evXr9TLb9eunYwxysjIKHMbAVQuhAGgisnJyZEkRUVFFTnP8ePH5XK51KhRo1IvPzIy0uN9AFz8CANAFRMRESFJysrKKnKe2rVrF9s3oDjZ2dke7wPg4kcYAKqYuLg4uVwupaWlFTlP586dJUn/+te/Sr38bdu2yeVyKS4ursxtBFC5EAaAKiY6OlqtW7fWl19+WeQ8I0eOVGhoqJ566il9++23Hq8ZY7Rv374i627YsEFt2rRRdHS039oMILgIA0AV1LdvXy1evFhnz571+npCQoJefvll7d+/X+3atdO9996rJ598UsOGDVOrVq00bdo0r/VycnK0ePFi9enTJ5DNB1DBGI4YqILS0tLUrl07zZ8/X0OGDClyvtWrV+uFF17Q559/rlOnTik2NlZdunTRmDFjdN111xWaf8GCBbrnnnuUlpam+Pj4QH4EABWIMABUUdybAICvOE0AVFEzZ87UkSNHNGbMmHIvyxijsWPH6ujRo5o5c6YfWgegMiEMAFVU8+bN9fLLL2vOnDmaPHlymZdjjNHkyZM1Z84cTZ8+ndsXA1UQ9yYAqrDk5GQdPHjQuWrgxRdfLNUpgxMnTmjs2LGaM2eOpkyZomHDhgWwtQCChT4DgAXmzJmjxx9/XDExMXruuec0aNCgIm9iJP3fVQMpKSk6evSopk+fThAAqjDCAGCJzMxMjR49WqmpqYqNjVVSUpI6deqkdu3aKTIyUtnZ2dq2bZs2bNigxYsX69ChQ0pMTNTMmTM5NQBUcYQBwDJpaWmaNWuWli9frh07dsj9T4DL5VKbNm3Up08fjRo1issHAUsQBgCLnTp1ShkZGcrJyVFERITi4uIYWRCwEGEAAADLcWkhAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGA5wgAAAJYjDAAAYDnCAAAAliMMAABgOcIAAACWIwwAAGC5sGA3AACAQDty5IhWrVqlr776SmFhYYqIiFCjRo00YMAAxcbGBrt5QecyxphgNwIAgED47LPPNH78eK1bt07eNnchISHq0aOHhg0bprvvvluhoaFBaGXwEQYAAFXO8ePHNW7cOM2ZM8fnOq1bt9bTTz+tu+66y7pQQBgAAFQp2dnZ6tevnz799NMy1W/Tpo2efvpp/eIXv7AmFNCBEABQZeTm5uree+8tcxCQpB07dmjIkCFKSEjQX/7yF+Xl5fmxhZUTYQAAUGXMnTtXS5Ys8cuytm/frrvvvlsJCQl6//33q3QoCOppglOnTikjI0M5OTmKiIhQXFycoqOjg9UcAMBFLDc3V/Hx8dq1a1dAlt+uXTtNnDhRSUlJCgnxz750ZdkOVngYSEtL06xZs7Rs2TKlp6d79O50uVxq3bq1+vbtq5EjR6pt27YV2TQAwEVsyZIlSkpKCvj7XHnllZo4caIGDhxYplBQGbeDFRYGMjMzNXr0aKWmpio2NlZJSUm65ppr1LZtW0VFRSkrK0tpaWn68ssvtXjxYh06dEiJiYmaOXOmmjdvXuLyjTE6dOiQdu3apaVLl3pMv/AjXjitsj0P1Hv489+KeI9Aft6yLjPY32NZ61zI5XLJ5XJVymmVpR3BmlZZ2nExftbXX39dFSkhIUETJ07UHXfc4VMoCPR2sFxMBZg9e7apUaOGufzyy838+fNNTk5OsfPn5OSY+fPnm6ZNm5oaNWqY2bNne50vLy/PfPrpp2bIkCGmRo0aRhKFQqFQKBVarrrqKrNkyRKTl5dX4dtBfwl4GJg8ebKRZJKTk82JEydKVffEiRMmOTnZSDKTJ0/2eG3fvn3mxhtvDPqPgEKhUCgUSWbAgAHmwIEDPm0HV61aZSSZiRMnlnk76E8BDQOzZ882ksyzzz5bruU888wzRpKZM2eOMcaYNWvWmAYNGgT9i6dQKBQKxb3Ur1/ffPrppyVuB30NA0VtB/0tYGFgz549pkaNGiY5Obncy8rLyzPJycmmRo0aZtWqVaZWrVpB/8IpFJvLEMnMk8wmyRyUzFnJHJPMfyTzhGRqVII2UijBKvXq1TOZmZnFbgdLGwbct4N79uwp93b1QgELA4mJiebyyy8v9amBohw/ftw0adLE1KxZM+hfNIVie1krmVzJbJXMUsnMl8xyyZyWjJHMTsk0qgTtpFCCVRISEkzfvn2L3A6WNgwUbAebNm1qEhMT/bJddReQMLBt2zYjycyfP7/Qazk5OeaVV14x/fr1M02aNDHVqlUz9evXN3fccYf5+uuvi13u0KFDg/4FUygUmc6SqeNlel3JrFF+IFhQCdpJoQS7eNsOGuMZBtauXWt69OhhoqOjzSWXXGIGDhxodu3a5bXe/PnzjSSTlpZW+o1zMQISBh599FETGxvrtbfk/v37TUhIiOnRo4cZMWKEmTBhgrnzzjtNRESEqV69ulm/fr3XZebl5Zm2bdsG/YulUCjFl+uVHwaOVIK2UCjBLKGhoebMmTNet2kFYeCmm24y1apVMwMGDDApKSlmwIABxuVymfr165vdu3cXqnfmzBkTGxtrHn300fJtqC8QkDDQpk0bM2rUKK+vnTlzxvzwww+Fpm/dutVER0ebPn36eK23YcOGoH+xFAql5HKt8sPA3krQFgol2OWrr77yuk0rCAOSzKxZszxemzVrlpFk+vfv77XuqFGjTHx8fHGb4VLz+70JTp48qfT0dF1zzTVeX4+IiFDjxo0LTW/Xrp169uypNWvW6Ny5c4VeT0tL83dTAfhZtKRJ/3v8URDbAVQW6enpxb7eqlUrDR8+3GPa8OHD1bJlS/3jH//Q4cOHC9Xp1KmTduzYoVOnTvmtnX4PA7t375YxptghFDdt2qQhQ4aoadOmqlatmjOS1Mcff6yzZ8/qyJEjhepkZmb6u6kAyqmvpLmS5klKlbRX0k2SlkqaEMR2AZXF7t27i329W7duhUYvDAkJUbdu3WSM0ebNmwvVadeunYwxysjI8Fs7w/y2pP/JycmRJEVFRXl9/fPPP1evXr0kSf369VPLli0VHR0tl8ulDz74QJs3b3aW4e706dP+biqAcmor6YELps2XNEbSiQpvDVD5lLT33qBBg2KnHz9+vNBrkZGRkuR1W1lWfg8DERERkqSsrCyvr0+ZMkU5OTlau3atrr/+eo/X1q1b5zUFSQr8uMwASm36/0qYpKaSfi7pKUmJku6QtDZ4TQMqhbi4uGJfP3jwYLHTL7nkkkKvZWdnS/q/7a0/+P00QVxcnFwuV5Hn+Hfv3q26desWCgJZWVn6+uuvi1zuFVdc4dd2AvCf85L2SHpJ0s2S6kh6V1L1YDYKqARKCgOfffaZ8vLyPKbl5eXp888/l8vlUvv27QvV2bZtm1wuV4nLLg2/h4Ho6Gi1bt1aX375pdfXL7/8cv3000/atm2bMy03N1fjxo3z2lGiQLdu3VSnTh1/NxeAn62XlKb8IwWdgtwWIJgiIiLUuXPnYufZuXOnZs+e7TFt9uzZ2rlzp2699VbVr1+/UJ0NGzaoTZs2io6O9l9j/Xptwv8UN87Axx9/bCSZ2rVrmxEjRpjHHnvMXHXVVSYmJsa58VBmZqbX5f7qV78K+mUiFAql5LJO+ZcXDqwEbaFQglWioqKKvDthSeMM1KtXr0LHGfD7kQFJGjlypA4dOqRFixYVeq1///5atGiRWrRooXfffVcLFixQmzZttH79el1++eXFLpd+A0DlFyOp/f8e7wxmQ4AgioyMVFZWltftoLtrr71WK1as0PHjx/XKK69o9erVuv322/XFF1+oRYsWheZfvHixDh06pFGjRvm3wX6NFm4CcW+Cpk2bmg4dOgQ97VEoNpd45d+oKMLLay0ls1L5RwU+rwRtpVCCVZYsWRKw7eBFc28CYwJ318I9e/aYiRMnBv2LplBsLT2Uv7E/qfz7ECyQzCLJrJfM+f+9tk0yl1WCtlIowShTp04N+HbQ3wIWBowp+j7OpZGXl+f1Ps6LFi3iDoYUShBKPcmkSOafktmj/FBwRjL7JPOJZB6WTLVK0E4KpaJLTEyMWbRoUYVtB/0poGHAGGMmT55sJJnk5ORSHyo5fvy4SU5ONpLMlClTCr2emZlpxowZY+rUqRP0HwGFQqFQ7CwhISHmvvvuMwcOHKjw7aC/uIwxRgE2Z84cPf7444qJidFzzz2nQYMGqVq1akXOn5OTo8WLFyslJUVHjx7V9OnTNWzYsCLnz87O1po1a7Rnzx5lZGToxRdfDMTHsI7L5fJ47P7c27TK9rwytKEytNEbk78jUOppZa1XmZbv/q+/p1W2+UszDaUXEhKie++9V08++aRatWpV7LyB3g6WV4WEASn/3gKjR49WamqqYmNjlZSUpE6dOqldu3aKjIxUdna2tm3bpg0bNji9JRMTEzVz5kyuIgAAlOill17SmDFjAv4+oaGhTgho2bKlz/Uq83awwsJAgbS0NM2aNUvLly/Xjh07PJKpy+VSmzZt1KdPH40aNUrx8fEV2TQAwEXs2LFjuuyyy/x6Nz93oaGhuu+++/Tkk0+Wa/S/yrgdrPAw4O7UqVPKyMhQTk6OIiIiFBcX598RlQAAVhk3bpxeeOEFvy6zIAQ89dRTfh8av7JsB4MaBgAA8KcjR47o2muvLfHWwb4IDQ3V0KFD9dvf/rbK3x+HMAAAqFIyMjLUtWtXHTlypEz1w8LCnBDgbRTAqiggwxEDABAscXFxSk1NLfV5/bCwMCUnJ2vnzp2aM2eONUFAIgwAAKqgjh07asuWLXr66aeLvYRPkqKiojR8+HDt2rVLs2fPtvIKNk4TAACqtKNHj2rFihVatmyZNm3apPDwcFWrVk1NmjTRwIEDlZiYqKioqGA3M6gIAwAAWI7TBAAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWO7/Aw4STRWw2eDdAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n.add_node('c')  # add an isolated node 'd'\n",
    "print(n)\n",
    "n.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can delete the isolated node. Property `nodes` would return the list of nodes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['a', 'b']\n"
     ]
    }
   ],
   "source": [
    "n.delete_node('c')\n",
    "n.show();\n",
    "print(n.nodes) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us now add link *ac*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'a': {'b': 3, 'c': 1}, 'b': {}, 'c': {}}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n.add_link('a','c')\n",
    "print(n)\n",
    "n.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adding a link on the existing link will only update the link flow. Observe that link 'ac' is now has updated link flow."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'a': {'b': 3, 'c': 2}, 'b': {}, 'c': {}}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "n.add_link('a','c')\n",
    "print(n)\n",
    "n.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`len` of the netwok would show the number of nodes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can view the link flow by getting the link item."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n[('a','b')]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also set the link flow directly by replacing its value."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'a': {'b': 8, 'c': 2}, 'b': {}, 'c': {}}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n[('a','b')]=8\n",
    "print(n)\n",
    "n.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The nodes in the network (which is the keys in adjacency list) forms an iterator that can be called in a loop."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a\n",
      "b\n",
      "c\n"
     ]
    }
   ],
   "source": [
    "n.add_link('b','c')\n",
    "for node in n:\n",
    "    print(node)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The flow in each node is shown as a dictionary by property `node_flow`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'a': 10, 'b': 1, 'c': 0}"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n.nodes_flow"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Basic Data Structure of IFN\n",
    "\n",
    "The basic data structure of the Ideal Flow Network is *adjacency list* or *matrix*. \n",
    "The adjacency list is a dictionary where the keys are the *from-nodes* and the values are dictionary of the *to-node* and its flow.\n",
    "\n",
    "IFN is adjacency-list-based network. Any change of the adjacency list, it would also change the network. \n",
    "We can replace the entire data inside the network by `set_data(adjList)` method.\n",
    "Method `get_data()` would return the internal data structure of adjacency list."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "{'a': {'b': 1, 'c': 3}, 'b': {'c': 2}, 'c': {'a': 5}}"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "adjList = {'a': {'b': 1, 'c': 3}, 'b': {'c':2}, 'c': {'a':5}}\n",
    "n.set_data(adjList)\n",
    "n.show();\n",
    "n.get_data()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Setting link flow to zero delete would delete the link but not delete the nodes.\n",
    "In the example above, link `ab` has flow = 1. We can reduce this to zero.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'a': {'c': 3}, 'b': {'c': 2}, 'c': {'a': 5}}\n"
     ]
    }
   ],
   "source": [
    "n.reduce_link_flow('a','b')\n",
    "n.show();\n",
    "print(n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Deleting non-existence of link, will just print a warning."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Warning: attempt to delete link `cb` but the link start/end with 'b' does not exist.\n",
      "{'a': {'c': 3}, 'b': {'c': 2}, 'c': {'a': 5}}\n"
     ]
    }
   ],
   "source": [
    "n.delete_link('c','b')\n",
    "print(n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Unlike Graph theory, when we delete link in IFN, it would also delete the isolated nodes related to that deleted link."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'a': {'c': 3}, 'c': {'a': 5}}\n"
     ]
    }
   ],
   "source": [
    "n.delete_link('b','c')\n",
    "n.show();\n",
    "print(n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Link flow can be negative but cannot be zero because zero link flow would remove the link from the network. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'a': {'c': 3, 'b': -1}, 'c': {'a': 5}}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n[('a','b')]=-1\n",
    "print(n)\n",
    "n.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "IFN can also be represented as a matrix and a list of nodes. Method `get_matrix()` would produce the internal capacity matrix and list of nodes of the network. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "C: [[0, -1, 3], [0, 0, 0], [5, 0, 0]] \n",
      "list nodes: ['a', 'b', 'c']\n"
     ]
    }
   ],
   "source": [
    "C, listNode = n.get_matrix()\n",
    "print('C:', C, '\\nlist nodes:', listNode  )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To set the network based on capacity matrix and list of nodes, we can use method `set_matrix(C,list_node)`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'a': {'b': np.int64(1), 'c': np.int64(3)}, 'b': {'c': np.int64(4)}, 'c': {'b': np.int64(2)}}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "C=[[0, 1, 3], \n",
    "  [0, 0, 4], \n",
    "  [0, 2, 0]] \n",
    "n.set_matrix(C,listNode)\n",
    "print(n)\n",
    "n.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What will happen if we delete the existing node 'c'? Deleting a node would automatically delete the associated links connected to that deleted node. This behavior is as expected, exactly just like in graph theory.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Kt3fvXu3du9erS/a80bdvXycMrFixwuPmXTk5Oc7R0qWXXqqYmBiPBn7FihUeYWD79u0e9wCpKAx8/vnnzuOrrrpKjRo1qrKeoaGhGjJkiDNw77PPPqtyHV++u+VZsmSJbrzxRuXl5UmSOnXqpH/+859VXopZXe4zo/oSNrOzs3XkyBHneUxMjC677DKnxzQsLEyfffaZLrjgAq+3efbZZ9d4pr/TQZMmTZzHpYHvdGddGEhMTFSvXr20evVq/fLLL1qyZIkGDx6sjIwMJ+F169bNuZa0OlJTU3XHHXdIKrl2+4knnijTsL3yyivO41atWnl9tFcdNZ2OuDp8+QPyhz/8QfPmzVNBQYEKCgp01113acKECRowYIB69eqlyy+/XBdffHGN/kAHQ0JCgu655x4nDKanp+uPf/yjfve73/m0nc2bNzuPP/74Y23durVa9cnJyfFrGHjmmWckSWvWrNGJEyec38/KlSudHrbSLv9u3bqpUaNGOnz4cJmrDNyfd+jQocJz3qVjJiRVOWeBO/f/y7t371ZxcXGlk9L48t091UcffaRp06Y5Vzr06tVL77//vho3blztbValNHRI8ukOhe7jBaSSAyX3bZ08eVIrVqyo0f6or9yvHnDfZ6czq8YMlCpvIGFNBg6eauTIkU5yPHjwYJmJKY4fP+4x2cu4cePq9Pnv6jjzzDO9XrZjx456++23PQYNHjlyRIsXL9af/vQnXX755WrSpImGDh2qhQsXelxSVtc9/PDDzhHs8ePH9ec//9nnbfz73/92Hu/YsUOffPKJ18WdP+/D3qtXL6fxz8vLcy7DkzxPSZQe5YeGhiopKUlSSS9F6aWJFS1fnt9++815XDow0BvuyxpjdOjQoUqX9+W7e6qvvvrK+X6GhYXp5ZdfDmgQOJU55XLbypwaBvLy8hQWFuYxQPCxxx6r8eDX+siX/Xy6sDIM3HjjjU7D8+GHHyo7O9u5vXHDhg19urNheSIjI3Xbbbc5z93HBkjSO++8o4MHD0oqmca2Pk537Ot0oMOGDVN2drYmT55c7pFzXl6ePvroI40aNUrt27f36DKuy8466yyPmQjnz5/v84Ajfx15lDfqv7piYmI8Bu+5N+ilR/pRUVG64oornNdPPVUglfxRXbVqlfN6RYMHJTnjJiR5XD1QlVPn6D9+/Hily9dkKtu+ffs6R40nT57UwIEDA367W/crSnxpuN0HD0oloWn58uUe86Ps2bNHL774Ys0rWc+47+e6elWTr6w7TSCV/PJGjBihOXPm6MSJExo+fLjzy7322ms9zgdV1/jx4zVjxgwZY7Ru3Tpt3brVGTzkfpXB9ddf79NRTn0WHx+vJ554Qk888YSysrK0du1arV27VqtWrfIYJJWdna3+/ftr7dq16tq1axBr7J0//elPSk9P1549e1RcXKyHHnpIH330kdfrN27cWAcOHJBUMh1sVVPG1pa+ffs65+AzMjKUlpamn376yWn8rrzySo9G2z0MZGRk6J577tE333zjBOOQkBD17t27ws9z3w/u57qr4j5RVel2AuWqq67SI488oiFDhujo0aP66aeflJSUpIyMjAoHEtdUfHy887h0X3rDvWega9eueu+995SQkKCePXvqqaeeck7LPPnkkxo3bpxXYzT27dunsWPH+lB779188826+eabA7JtX7nvZ/f9fzqzMgxIJacCSu85735plL+O0hMTEzVgwAAtXbpUUkkAmDlzprZu3epxeVR9mXHQ39q0aaM2bdo4v49Nmzbp2WefdUbn5+fn66GHHirTFV4XRUZGasqUKbrzzjsllZz3X716tXr16uXV+s2aNXMawX379gWsnr7q27evpk6dKklav3698vPzK51FsFOnToqPj9f+/fud+Qncl+/atWulDXV8fLyzH3bu3Ol1Pd2XjY6ODvhscUlJSVqyZIkGDRqk3Nxc7d27V71799by5csDcjVBy5Ytncc///yzV+vs2bPHY+Dhiy++6FxKGRYWprS0NKfhPXjwoJ5++mnnd12ZY8eOBez/5OWXXx6Q7VaH+36u7fFYgWLlaQJJ6tGjR5mknpCQUGk3pa9SU1Odx/Pnz1d+fr7HKYP27ds751FRuS5dumjevHkaPXq089rKlSs9uo5LuXfz1pVze6U3uyn14IMPer1ujx49nMf+Pj1Sk33Vo0cPZ2BsYWGh1qxZU+l8AS6Xy5kq97ffftPGjRu9noJYKhmEWMqX/eB+BUH37t29Xq8mevbsqWXLljnh5tdff1WfPn08BoP6S6dOnZzH3p6ScO8VCAkJKTMgc+TIkR7B5bnnnqs3o+b9wX0/15dpma0NA5I8zutLJddl+/PWl0OGDHHS9qFDhzR37lzNnz/fef+uu+7y22fZwn3ClhMnTpTbLRoTE+M8riuDn0JDQ51LWiXpiy++0KJFi7xa9/e//73z+PPPP9e2bdv8Vq+a7KuIiAhnMiGppOu/dL6Axo0blzvPvXtAWLp0qdasWeM8ryoMuJ9CyMrK8hi0WJEff/zRYw6Dyk5D+Null16qjIwMZ0Be6WyEp56rryn3sRsHDhxwZgysjHsYaN26dZnz3qV3JCyVl5enxx9/vMrtnn/++TLGBKTUlRkIDx8+7HHX1MomvjqdWB0GHnzwQZ04ccIp7l9+fwgNDdW4ceOc5xMnTnRGdEdGRgbs3Nrpxpcj0lNv9Vre+I7mzZs7j7OysqpfMT+79tprPY7y/+d//ser9YYNG+b0YhljdNddd+nEiRN+qVNN95V7A/7GG284s0m6z1JY0fIzZ850zv2XTk5UmZtuusnjvPXEiROrHBTpvkxYWJhzyW9t6dq1q1auXOmcVz548KD69evnVZDxVrdu3TyugPBm2+6BpKJxN9dff71HoHvllVfqzQQ7NeG+fxs2bOgxSPZ0ZnUYcLlcCgsLc0ogLu+78847nUFU7kdeN910U61eclSXde7cWa+99lqV93TPycnxuMvbFVdcUe7ERO7dyZs3b65T4wrcR2p72/iGhIRoxowZzvdzzZo1Sk5O1p49e6pcd9u2bbr33nv19NNPl/t+TfeVe+NeOsufVPFVARdccIHTW+a+/GWXXVblqOzo6GiPyY3WrFmjlJQUj7vulSouLtbkyZP19ttvO6/dcccdPs/x4A+dO3fWqlWr1KxZM0klvYQDBw70agIkb4SHh3tMRuXeE1KRUwcPlsflcumxxx5znhcWFiotLa0GNa0f3PdvUlJS/bhjoSwPA7UhPj6+3LnIGTj4H1u3btUdd9yhuLg4DRs2TNOmTdPixYu1atUqrVmzRu+++64eeOABtWvXzqOLvKJuw759+zrTshpjlJycrA4dOmjQoEG69tprnXLq5De14corr9TQoUN9Xu/3v/+9x2mGjIwMtWrVSqNGjdLs2bO1dOlSrV27Vv/4xz/06quv6t5771WHDh3UoUMHpaenV3h5Yk33Vffu3cu9qVRlXf7lBYWqThGUmjx5ssepiblz56pz5856+umntXTpUq1YsULp6em65JJLPKYab9u2rTNJUjC0b99en376qTMLYW5urq6++mqP2SVrYvjw4c7j0psiVeS3337z6Oau7IqcwYMHexz5/u1vf6v2pFe1YerUqWrYsGGZ4n569ocffih3mdIBvlX55z//6Tyu6Hbcp6VA3hIxWCq6tWxNeHML44qsWbPG45aXF110kV/qVJG6cAvj8m7lWhH3unpTQkNDTXp6eqXbXL58uYmOjq50O3PnzvW6juWp7vfs22+/dW7v614qu4Vxqddee800bNjQ531W2e+jpvvK/fa8kkzz5s0r/Rnmz59fZvurVq2q8mcvdfjwYdOnTx+vf/aLLrrI/PLLL5Vus7rfXV/X3blzp8ffkqioqEpvreytY8eOmcaNGzvb3bhxY4XLrlixwmP/5OTkVLrt5cuXeyx/zTXX1Li+gXLq3z5fije38M7KynKWj4yMrPBW66cjegZqQefOnT1uTUyvgKf09HQNGjSoypnfwsPDNWzYMG3YsMHjSo3y9OvXT99++60mT56sK664Qk2bNq0z0xl37Nix2uNFbrvtNu3YsUP33HNPldd9x8TEaPDgwZo3b16lcxPUdF+deqRfesVARU7tBYiMjPTpvOuZZ56pZcuW6eWXX670sq6zzz5b06dP1/r1650u+mBr1aqVVq9e7Uzxm5+fryFDhtR4Pv+GDRt6DIh2PxI+lfspgnPPPVdNmzatdNv9+vXz+J2+//77Wr9+fQ1qe/py36+33HJLhbdaPx25jKkj117VYy+99JJzh7UzzjhDe/fu9RjFjRLFxcXatm2bduzYoZ9//llHjx6Vy+VS48aN1bp1a3Xv3p1xFm6Kior09ddfKzMzU//+97917NgxRUdHq1mzZmrXrp06duxYZwJQIG3ZskUbN27U/v37VVxcrLi4OHXu3FndunWrd9N8V+aHH35QYmKiTp48qdjYWO3Zs6fM7IuovqKiIiUkJGjv3r1yuVzKzMxUu3btgl0tvyEM1IILL7xQW7ZskVQy90B6enqQawSgPrrjjjuc+6zMnj1bKSkpQa5R/bFw4UKNGjVKUskA8LfeeivINfIvwkCAffDBB7rmmmuc55mZmR6TzwCAv/z4449q06aNCgoKlJiYqO3bt3ucokT1denSRZs3b1ZoaKi2bt0asOmlg4UxAwH03Xff6b777nOeX3/99QQBAAGTkJCg+++/X1LJLHml03ejZt5++21n9sjU1NR6FwQkegb8av/+/c4kQ/v27dOGDRuc25lGRkZq06ZNat26dTCrCKCey8/PV7t27fTTTz+pRYsWysrKUmRkZLCrddo6ceKE2rdvr507dyo+Pl5ZWVle3bTpdEMY8KPvv//e46YhpVwul15//XWNGTMmCLUCAKBy1t61MNBCQkIUGxurHj16aOLEiR4TpQAAUJfQMwAAgOUYQAgAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOUIAwAAWI4wAACA5QgDAABYjjAAAIDlCAMAAFiOMAAAgOXCgl0BAABqS1FRkfLy8hQSEqKYmJhgV6fOoGcAAFCvFRQUaN68eerRo4fCwsLUqFEjNWrUSElJSXruued05MiRYFcx6FzGGBPsSgAAEAgHDx7UNddco7Vr11a4TGxsrCZMmKB7773X2t6CoIaBo0ePKjs7WwUFBYqIiFBiYqK1vwgAgH/l5eXpkksu0bZt27xaPjY2VhMnTtQ999xTa21RXWkHaz0MZGZmatasWVq2bJl27Ngh9493uVxq27atBgwYoLvvvlsdOnSozaoBAOqRxx57TGlpaT6v17RpUycUREdH+71edbEdrLUwsHv3bqWmpmrJkiWKj4/XDTfcoEsuuUQdOnRQVFSU8vPzlZmZqS+//FKLFi3S/v37lZycrJdeekktW7asjSoCAOqJo0ePqlmzZsrLy6v2NuLi4jRx4kSlpqb6JRTU6XbQ1ILZs2eb6Ohoc95555kFCxaYgoKCSpcvKCgwCxYsMAkJCSY6OtrMnj27NqoJAKgn1q9fbyT5pcTFxZmnn37a5OXlVbs+db0dDHgYmDp1qpFkUlJSTG5urk/r5ubmmpSUFCPJTJ06NUA1BADUN3PmzPFbGCgt8fHx5plnnvE5FJTXDq5cudJIMmlpaZWuW1vtYEDDwOzZs40k8/jjj9doO4899piRZF599VU/1QwAUJ/NmDHD72GgtJx99tnm2WefNfn5+VXWo6J20NswUCrQ7WDAwsCuXbtMdHS0SUlJqfG2iouLTUpKiomOjja7du0q8/7JkyfNW2+9ZVJTU02vXr0C9gWgUCgUCqW0NGvWzMyYMaPCUFBZO+hrGKiqHaypgIWB5ORkc9555/l8aqAihw8fNgkJCSY5Odnj9dWrV5v27dsH/UtBoVAoFDtLhw4dzNatW31qB30NA5W1g/4QkDCwdetWI8ksWLCgzHsFBQVm5syZZuDAgaZFixamQYMGJi4uzlx33XXm66+/rnS7CxYsMJJMZmamMaZkZ0ZGRgb9i0ChUCgUu0tUVJRZunSpV+1gafsllYSBNWvWmKSkJBMTE2MaNWpkrr/+evPdd9951Q76S0DCwH333Wfi4+PLHS35yy+/mJCQEJOUlGTGjRtnJk2aZIYPH24iIiJMw4YNzb/+9a8Kt3v8+HETHx9v7rvvPnPw4EHTqFGjoH8BKBQKhUKRZH73u9+ZI0eOVNkOGvOfMHD11VebBg0amGHDhpnJkyebYcOGGZfLZeLi4szOnTsrbQf9KSBhoF27dmb8+PHlvnf8+HHz888/l3n922+/NTExMaZ///6Vbnv8+PGmffv25s9//nPQf/EUCoVCobiXhx9+uMp20Jj/hAFJZtasWR7vzZo1y0gyQ4YMqbQd9Ce/h4Hc3FzjcrnMa6+95vO6Q4cONQ0aNDCFhYUVLjNnzhzjcrlMYmJi0H/pFAqFQqG4l+7du3vVDpaGgTZt2piioiKP94qKikzr1q2Ny+Uy+/fvr7AdLO2F8Ae/37Vw586dMsZUOoXiN998o1GjRikhIUENGjSQy+WSy+XShx9+qMLCQh04cKDCdTt27ChjjHbv3u3vqgMAUCNbtmxxphj2Zirhnj17KiTEsykOCQlRz549ZYzRpk2byqxT2g5mZ2f7rd5hftvS/1dQUCBJioqKKvf9zz77TH379pUkDRw4UK1bt1ZMTIxcLpfee+89bdq0ydlGeSIjIyWV3JMaAIC6pKCgwLklckXtoLuzzz670tcPHz5c5r3SdrCyttJXfg8DERERkqT8/Pxy3582bZoKCgq0Zs0aXXnllR7vrV+/vtwU5O7YsWOSSm4kUVkPAgAAta1169Zq0qSJpIrbQXf79u2r9PVGjRqVea+0HSxtb/3B76cJEhMT5XK5lJmZWe77O3fu1FlnnVUmCOTn5+vrr7+ucvtbt26Vy+VSUlKSX+oLAIC/XHLJJVW2g+7WrVun4uJij9eKi4v12WefyeVyqUuXLmXWKW0HExMT/VZvv4eBmJgYtW3bVl9++WW575933nn67bfftHXrVue1oqIiTZgwQTk5OVVuf8OGDWrXrp2mTJkil8vlt3oDAFATDRo00COPPFJlO+guKytLs2fP9nht9uzZysrK0uDBgxUXF1dmndJ2MCYmxm91r/V5Bj788EMjyTRu3NiMGzfO/OEPfzAXXnihiY2NNb179zaSzO7du8vd7qnXVz788MNBHzlKoVAoFIok8+ijj3rVDhpT9TwDTZs2Pf3nGahq5qV3333XXHzxxSYqKso0bdrUjBgxwuzcudOMHTvWSBWHgVNnXiouLiYQUCgUCiWoJSwszMyYMcMUFxd73Q6WNwNhdHS0OfPMM811111XP2YgNKb27k1gjDGbN282N910k2nevHnQvxQUCoVCsaf06tXLfPHFF0FvB2vKZYwxCoDdu3erc+fOGjlyZJnzIb4yxmjcuHFauHChtmzZopYtW1a47MGDB7Vr1y6P10rnMQjU89Nlm6WP/fVvTT7j1OW9fQ6czk79c1ven9+KXitv3dP9tUBuf/r06XrllVcUKElJSZoyZYp69+5d4TLBager+wEBU9F9nH1RXFwc8Ps4AwDqlxkzZgSkJ6B3795m5cqVXtfjdGkHAxoGjDFm6tSpRpJJSUnxuavk8OHDJiUlxUgy06ZNC1ANAQD1zccff+zXENCnTx+zatWqatXldGgHAx4GjClJRtHR0SYhIcEsWLCgwtGVpY4fP24WLFhgEhISTHR0ND0CAACf/PTTT34JAX379jWffvppjetT19vBgI0ZONXu3buVmpqqJUuWKD4+XjfccIO6d++ujh07KjIyUseOHdPWrVu1YcMGLVq0SPv371dycrJeeukl/58bAQDUeyNGjNA777xTrXX79euntLQ0XXXVVX6rT11uB2stDJTKzMzUrFmztHz5cm3fvt1jAIjL5VK7du3Uv39/jR8/Xu3bt6/NqgEA6pGdO3eqU6dOOn78uNfr9O/fX2lpaWVmyfWnutgO1noYcHf06FFlZ2eroKBAERERSkxM9O+MSgAAq61bt05Dhw7Vb7/9VulyAwYMUFpamnr27FlLNStRV9rBoIYBAAACLSsrS4899pjeeecdFRYWOq9HRETo6quv1qRJk9SjR48g1jD4CAMAACvk5ORo48aNOnr0qBo2bKikpCRFR0cHu1p1AmEAAADL+f2uhQAA4PRCGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAL7ZsUN64QXp1lulzp2lsDDJ5ZKmTg12zQBUU1iwKwDgNPPXv0rPPx/sWgDwI3oGAPimUydpwgRpwQJp2zbplluCXSMANUTPAADfpKR4Pg/hmAI43fG/GAAAyxEGAACwHGEAAADLEQYAALAcYQAAAMsRBgAAsBxhAAAAyxEGAACwHGEAAADLEQYAALCcyxhjgl0JAKeRr7+WUlP/83znTunAAalFC+ncc//z+v/9n9S8ee3XD4DPuDcBAN/k5kpffFH29Z9/LimlCgpqr04AaoSeAQAALMeYAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALEcYAADAcoQBAAAsRxgAAMByhAEAACxHGAAAwHKEAQAALPf/AANDFVFMbcTSAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'a': {'b': np.int64(1)}, 'b': {}}\n"
     ]
    }
   ],
   "source": [
    "n.delete_node('c')\n",
    "\n",
    "n.show();\n",
    "print(n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Expandable Network\n",
    "\n",
    "This is where the fun of IFN begins. \n",
    "\n",
    "The expandable network is a type of network that can be dynamically expanded or contracted as needed. The IFN is an expandable network.\n",
    "We can expand the network by setting or assigning trajectories. Trajectories is a path represented by a list of nodes in sequence.\n",
    "We can also contract the network by removing trajectories through unlearn method.\n",
    "If the node or link exists, the flow would be updated by adding flow. By default it is adding flow with one unit, but we can set the change of flow in the parameter.\n",
    "If the node or link does not exist, it would automatically create nodes or links. \n",
    "\n",
    "Method `assign(trajectory)` would add one unit of flow along the trajectory. It would update the link flow if the link exists, or create link if the link does not exist."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'a': {'b': 1}, 'b': {'c': 1}, 'c': {'d': 1}, 'd': {'e': 1}, 'e': {'a': 1}}\n"
     ]
    }
   ],
   "source": [
    "n = net.IFN(\"Expandable Network\")\n",
    "trajectory =  ['a','b','c','d','e','a']\n",
    "n.assign(trajectory)\n",
    "n.show();\n",
    "print(n)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also use more generic method `set_path(trajectory,delta_flow)` method to assign trajectory with any change of flow (which is not necessarily one unit of flow)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'a': {'b': 1, 'e': 2}, 'b': {'c': 3}, 'c': {'d': 1, 'a': 2}, 'd': {'e': 1}, 'e': {'a': 1}}\n"
     ]
    }
   ],
   "source": [
    "trajectory =  ['b','c','a','e']\n",
    "n.set_path(trajectory,2)\n",
    "n.show();\n",
    "print(n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using method `generate(startNode,is_cycle=True)`, we can generate random trajectory based on the network and start node. When is_cycle=True it would generate random cycle, otherwise it would generate based on random walk of random length between 1 and total nodes. It is possible that it might generate internal cycles in the generated trajectory."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[]\n",
      "[]\n",
      "['b']\n",
      "['b']\n"
     ]
    }
   ],
   "source": [
    "print(n.generate('b'))\n",
    "print(n.generate('b'))\n",
    "print(n.generate('b', False))\n",
    "print(n.generate('b', False))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use `get_path(startNode, endNode)` get the path from start node to end node. This path is not necessarily the shortest path. The search for path is based on Depth First Search (DFS). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['a', 'b', 'c', 'd', 'e']"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n.get_path('a','e')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If the path does not exist, it will produce an empty list"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['e', 'a']"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n.get_path('e','a')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also find all paths from start node to end node by method `find_all_paths(startNode, endNode)`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[['a', 'b', 'c', 'd', 'e'], ['a', 'e']]"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "n.find_all_paths('a','e')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can find the shortest path by method `shortest_path(startNode, endNode)`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['a', 'e']"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n.shortest_path('a','e')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can find the all shortest path matrix by method `all_shortest_path()`. The method produces path matrix and list of nodes. This method is based on Floyd-Warshall algorithm. The matrix value represents the sum of flow along the shortest path between a pair of nodes (row as start node, column as end node). If the value in the path matrix is *inf* it indicates there is no path between the start node and the end node. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Path matrix: [[3, 1, 4, 5, 2], [5, 6, 3, 4, 5], [2, 3, 6, 1, 2], [2, 3, 6, 7, 1], [1, 2, 5, 6, 3]] \n",
      "List of nodes: ['a', 'b', 'c', 'd', 'e']\n"
     ]
    }
   ],
   "source": [
    "matrix,list_nodes=n.all_shortest_path()\n",
    "print(\"Path matrix:\",matrix,\"\\nList of nodes:\",list_nodes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we want to find whether a certain trajectory is a valid path in the network, we can use method `is_path(trajectory)`. A link is a path but a node is not a path. Thus, a path has at least two nodes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "is ['a', 'b', 'c', 'd', 'e'] a path? True\n",
      "is ['c', 'a', 'e'] a path? True\n",
      "is ['c', 'a', 'e', 'd'] a path? False\n",
      "is ['a', 'b'] a path? True\n",
      "is ['a'] a path? False\n",
      "is [] a path? False\n"
     ]
    }
   ],
   "source": [
    "print(\"is ['a', 'b', 'c', 'd', 'e'] a path?\",n.is_path(['a', 'b', 'c', 'd', 'e']))\n",
    "print(\"is ['c', 'a', 'e'] a path?\",n.is_path(['c', 'a', 'e']))\n",
    "print(\"is ['c', 'a', 'e', 'd'] a path?\",n.is_path(['c', 'a', 'e', 'd']))\n",
    "print(\"is ['a', 'b'] a path?\",n.is_path(['a', 'b']))\n",
    "print(\"is ['a'] a path?\",n.is_path(['a']))\n",
    "print(\"is [] a path?\",n.is_path([]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Indicators\n",
    "\n",
    "Once you have your network, you can see many indicators of the network.\n",
    "The following indicators are all properties of the network.\n",
    "\n",
    "* total_nodes\n",
    "* total_links\n",
    "* total_flow\n",
    "* network_entropy\n",
    "* average_node_entropy\n",
    "* diameter\n",
    "* density\n",
    "* min_flow\n",
    "* max_flow\n",
    "* avg_flow\n",
    "* stdev_flow\n",
    "* cov_flow\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us create a new network from a capacity matrix and list of nodes.  A **capacity matrix** is a weighted adjacency matrix."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'a': {'b': np.int64(2)}, 'b': {'c': np.int64(2)}, 'c': {'b': np.int64(1), 'd': np.int64(2)}, 'd': {'e': np.int64(1)}, 'e': {'a': np.int64(1), 'c': np.int64(1)}}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define the network (directed graph) from capacity matrix\n",
    "C=[[0, 2, 0, 0, 0],\n",
    "   [0, 0, 2, 0, 0], \n",
    "   [0, 1, 0, 2, 0], \n",
    "   [0, 0, 0, 0, 1],\n",
    "   [1, 0, 1, 0, 0]]\n",
    "list_nodes= ['a', 'b', 'c', 'd', 'e']\n",
    "n = net.IFN(\"Network Capacity\")\n",
    "n.set_matrix(C,list_nodes)\n",
    "print(n)\n",
    "n.show(layout=\"Circular\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we get the network indicators"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total nodes: 5\n",
      "total links: 7\n",
      "total flow: 10\n",
      "network entropy: 1.3296613488547582\n",
      "network entropy ratio: 0.969570350190125\n",
      "average node entropy: 0.541117452339652\n",
      "average node entropy ratio: 1.951668662572215\n",
      "network diameter: 4\n",
      "network density: 0.7\n",
      "min flow: 1\n",
      "max flow: 2\n",
      "average flow: 1.4285714285714286\n",
      "standard deviation of flow: 0.1870439059165649\n",
      "coefficient of variation of flow: 0.13093073414159542\n"
     ]
    }
   ],
   "source": [
    "print('total nodes:',n.total_nodes)\n",
    "print('total links:',n.total_links)\n",
    "print('total flow:',n.total_flow)\n",
    "print('network entropy:',n.network_entropy)\n",
    "print('network entropy ratio:',n.network_entropy_ratio)\n",
    "print('average node entropy:',n.average_node_entropy)\n",
    "print('average node entropy ratio:',n.average_node_entropy_ratio)\n",
    "print('network diameter:',n.diameter)\n",
    "print('network density:',n.density)\n",
    "print('min flow:',n.min_flow)\n",
    "print('max flow:',n.max_flow)\n",
    "print('average flow:',n.average_flow)\n",
    "print('standard deviation of flow:',n.stdev_flow)\n",
    "print('coefficient of variation of flow:',n.cov_flow)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Testing\n",
    "\n",
    "Once you have your network, you can test the network.\n",
    "The following properties are useful to test the network.\n",
    "\n",
    "* **is_connected**: there is an *undirected* path between any pair of nodes.\n",
    "* **is_strongly_connected**: there is a *directed* path between any pair of nodes.\n",
    "* **is_premagic**: sum of inflows is equal to sum of outflows in every node. \n",
    "* **is_ideal_flow**: strongly connected and premagic.\n",
    "* **is_acyclic**: contains no directed cycle. \n",
    "* **is_contain_cycle**: contains at least one directed cycle. \n",
    "* **is_eulerian_cycle**: in-degree is equal to out-degree in every node.\n",
    "* **is_bipartite**: if the nodes can be partitions into two subsets and each link connects the two subsets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "is_acyclic? False\n",
      "is_contain_cycle? True\n",
      "is_eulerian_cycle? False\n",
      "is_bipartite? False \n",
      "\n",
      "is_connected? True\n",
      "is_strongly_connected? True\n",
      "is_premagic? False\n",
      "is_ideal_flow? False\n"
     ]
    }
   ],
   "source": [
    "print(\"is_acyclic?\",n.is_acyclic)\n",
    "print(\"is_contain_cycle?\",n.is_contain_cycle)\n",
    "print(\"is_eulerian_cycle?\",n.is_eulerian_cycle)\n",
    "print(\"is_bipartite?\",n.is_bipartite,'\\n')\n",
    "\n",
    "print(\"is_connected?\",n.is_connected)\n",
    "print(\"is_strongly_connected?\",n.is_strongly_connected)\n",
    "print(\"is_premagic?\",n.is_premagic)\n",
    "print(\"is_ideal_flow?\",n.is_ideal_flow)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ideal Flow Network\n",
    "\n",
    "Observe that our network above is not an ideal flow network type because even it is a strongly connected, the flow in some nodes are imbalance (no premagic).\n",
    "\n",
    "To balance the flow in each node, while keeping the total flow $\\kappa$, we can compute it the three steps:\n",
    "1. Convert the *capacity matrix* $\\mathbf{C}$ into a *stochastic matrix* $\\mathbf{S}$\n",
    "2. Compute the node flow *stationary distribution* $\\mathbf{\\pi}$ of the stochastic matrix via Markov chain by preserving the total flow $\\kappa$.\n",
    "3. Compute the *ideal flow matrix* $\\mathbf{F}$ from the *stochastic matrix* $\\mathbf{S}$ and the *stationary distribution* $\\mathbf{\\pi}$.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "S= [[0.         1.         0.         0.         0.        ]\n",
      " [0.         0.         1.         0.         0.        ]\n",
      " [0.         0.33333333 0.         0.66666667 0.        ]\n",
      " [0.         0.         0.         0.         1.        ]\n",
      " [0.5        0.         0.5        0.         0.        ]] \n",
      "\n",
      "pi= [[1.]\n",
      " [2.]\n",
      " [3.]\n",
      " [2.]\n",
      " [2.]] \n",
      "\n",
      "F= [[0. 1. 0. 0. 0.]\n",
      " [0. 0. 2. 0. 0.]\n",
      " [0. 1. 0. 2. 0.]\n",
      " [0. 0. 0. 0. 2.]\n",
      " [1. 0. 1. 0. 0.]] \n",
      "\n",
      "{'a': {'b': np.float64(1.0000000000000004)}, 'b': {'c': np.float64(2.0000000000000013)}, 'c': {'b': np.float64(0.9999999999999993), 'd': np.float64(1.9999999999999987)}, 'd': {'e': np.float64(1.9999999999999973)}, 'e': {'a': np.float64(0.9999999999999991), 'c': np.float64(0.9999999999999991)}}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kappa=n.total_flow\n",
    "S=n.capacity_to_stochastic(C)\n",
    "print('S=',S,'\\n')\n",
    "pi=n.markov(S,kappa)\n",
    "print('pi=',pi,'\\n')\n",
    "F=n.ideal_flow(S, pi)\n",
    "print('F=',F,'\\n')\n",
    "\n",
    "\n",
    "n = net.IFN(\"Ideal Flow Network\")\n",
    "list_nodes= ['a', 'b', 'c', 'd', 'e']\n",
    "n.set_matrix(F,list_nodes)\n",
    "print(n)\n",
    "n.show(layout=\"Circular\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can test again"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "is_connected? True\n",
      "is_strongly_connected? True\n",
      "is_premagic? True\n",
      "is_ideal_flow? True\n"
     ]
    }
   ],
   "source": [
    "print(\"is_connected?\",n.is_connected)\n",
    "print(\"is_strongly_connected?\",n.is_strongly_connected)\n",
    "print(\"is_premagic?\",n.is_premagic)\n",
    "print(\"is_ideal_flow?\",n.is_ideal_flow)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I hope you enjoy this tutorial!"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
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