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 "metadata": {
  "name": "",
  "signature": "sha256:61f24f38b76cb12d46c178eadc5d85d61bd0fc27f959236ea756ef8e1adc2693"
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 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Explore Random Graphs Using NetworkX"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In this example, we build a simple UI for exploring random graphs with [NetworkX](http://networkx.github.io/)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.html.widgets import interact"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "import matplotlib.pyplot as plt"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 12
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import networkx as nx"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 13
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# wrap a few graph generation functions so they have the same signature\n",
      "\n",
      "def random_lobster(n, m, k, p):\n",
      "    return nx.random_lobster(n, p, p / m)\n",
      "\n",
      "def powerlaw_cluster(n, m, k, p):\n",
      "    return nx.powerlaw_cluster_graph(n, m, p)\n",
      "\n",
      "def erdos_renyi(n, m, k, p):\n",
      "    return nx.erdos_renyi_graph(n, p)\n",
      "\n",
      "def newman_watts_strogatz(n, m, k, p):\n",
      "    return nx.newman_watts_strogatz_graph(n, k, p)\n",
      "\n",
      "def plot_random_graph(n, m, k, p, generator):\n",
      "    g = generator(n, m, k, p)\n",
      "    nx.draw(g)\n",
      "    plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 14
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "interact(plot_random_graph, n=(2,30), m=(1,10), k=(1,10), p=(0.0, 1.0, 0.001),\n",
      "        generator={'lobster': random_lobster,\n",
      "                   'power law': powerlaw_cluster,\n",
      "                   'Newman-Watts-Strogatz': newman_watts_strogatz,\n",
      "                   u'Erd\u0151s-R\u00e9nyi': erdos_renyi,\n",
      "                   });"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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cnK6urvznn3+KdE8//fQTPTw8Cn1d1mktnp6e7NKlC2vWrElVVVVqamoWaVrL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       "text": [
        "<matplotlib.figure.Figure at 0x1076c6e10>"
       ]
      }
     ],
     "prompt_number": 16
    }
   ],
   "metadata": {}
  }
 ]
}