{
 "cells": [
  {
   "cell_type": "markdown",
   "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",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      ":0: FutureWarning: IPython widgets are experimental and may change in the future.\n"
     ]
    }
   ],
   "source": [
    "from ipywidgets import interact"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import networkx as nx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# 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()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc452fc0208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "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'Erdős-Rényi': erdos_renyi,\n",
    "                   });"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.4.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
