{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "web = nx.read_edgelist(\"web-Google.txt.gz\") \n",
    "#you can download this file from https://snap.stanford.edu/data/index.html\n",
    "webdeg = nx.degree(web).values()\n",
    "# the list of degress"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "g = nx.erdos_renyi_graph(600,0.2) #random graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "ds = nx.degree(g).values()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([   8.,   16.,   54.,  102.,  118.,  117.,  112.,   48.,   19.,    6.]),\n",
       " array([  92. ,   97.5,  103. ,  108.5,  114. ,  119.5,  125. ,  130.5,\n",
       "         136. ,  141.5,  147. ]),\n",
       " <a list of 10 Patch objects>)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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lcI33iqp6aWhTC72tHVpdDzzTLS/53qrqq1X11qqarKpJBpdnLqqqwzTQ3ykb96fB3QTp\nH4GnGXwSvq4bewuwE9jH4E6cFeOu8yR7uQM4BHyXwT+uq0/UC3Ajg0/99wIfGHf9I/b3K93yy8AR\n4L6l2N8cve1ncD33ie7nMw319nkGn5E9Bfw1cO5S7G2u/o7bfoDurpul2F/fH78ZK0mNOy0u3UiS\nFo9BL0mNM+glqXEGvSQ1zqCXpMYZ9JLUOINekhpn0EtS4/4HylAT0gmXvTEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112477750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(ds)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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C9j9a9j9a9n+MpapG3YMkaUyMwz0NSdI0YWg00/VPlSS5McnOJA8P1WYn2ZBka3ufNbRt\nTTuGLUmWDdXPTfJQ23ZNkhyn/s9O8u0kjyTZlORT43QMSV6f5N4k32v9/8049T/03TOSPJDk6+PW\nf5LH2vc+mGRyDPt/U5J1Sb6fZHOSC8ap/5epqtf8i8EN9h8AvwmcAHwPWDjqvlpv7wbeATw8VPtb\nYHUbrwauauOFrfcTgfntmGa0bfcC5wMB7gDee5z6PxN4Rxu/Efjv1udYHEP7rlPa+HXAPa2Hseh/\n6Dj+AvgX4Otj+G/oMeCMKbVx6n8t8MdtfALwpnHq/2XHM4ovnW4v4ALgzqHPa4A1o+5rqJ8J9g2N\nLcCZbXwmsGV/fTN44uyCts/3h+ofA/5pRMdyO/AH43gMwBuA7zL4iwRj0z+D323aCLyHl0JjnPp/\njJeHxlj0D5wGPEq7fzxu/e/v5eWpgf39qZJ5I+qlx9yqerKNnwLmtvGBjmNeG0+tH1dJJoC3M/hp\nfWyOoV3aeRDYCWyoqrHqH/g88Bngl0O1ceq/gG8luT+Dv/4A49P/fGAX8M/t8uAXkpzM+PT/MobG\nmKvBjx3T/hG4JKcAXwU+XVXPD2+b7sdQVS9W1dsY/MS+OMk5U7ZP2/6TfADYWVX3H2if6dx/8672\nv/97gUuSvHt44zTvfyaDy8vXVdXbgZ8yuBz1K9O8/5cxNAYO+qdKppmnk5wJ0N53tvqBjmNHG0+t\nHxdJXscgML5UVV9r5bE6BoCq+gnwbWA549P/O4EPJnmMwV+Ifk+SLzI+/VNVO9r7TuBfGfzl63Hp\nfzuwvZ2dAqxjECLj0v/LGBoD4/anStYDK9t4JYP7BHvrK5KcmGQ+sAC4t50GP5/k/PbExUVDc46p\n9n03AJur6nPjdgxJ5iR5UxufxOB+zPfHpf+qWlNVZ1XVBIN/13dV1cfHpf8kJyd5494xsBR4eFz6\nr6qngCeSvKWVlgCPjEv/+zWKGynT8QW8j8GTPT8APjvqfob6+jLwJPALBj+1rAJOZ3BjcyvwLWD2\n0P6fbcewhaGnK4BFDP5j+wHwD0y5MXcM+38Xg1Pv/wIebK/3jcsxAL8NPND6fxj461Yfi/6nHMvv\n8dKN8LHon8ETjd9rr017/9scl/7b974NmGz/hv4NmDVO/U99+RvhkqRuXp6SJHUzNCRJ3QwNSVI3\nQ0OS1M3QkCR1MzQkSd0MDUlSN0NDktTt/wG8pdDmDOSVZgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x125a58e90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(webdeg,bins=50);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 1000, 0, 3000]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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q9ST/Bfg/DB6PfbiqjszQbe/Cj+yy4Vxc4Fxc4Fxc4FxcMLK5SFWNal+SpDcgv5ktSeoy\nKCRJXWMbFEm2JTmW5HiS3Us9noWWZF2SLyc5muRIko+1+vVJnkzyQnu9bqjPvW1+jiW5belGP3pJ\nViT5myRfaO+X5TwAJHl7kj9L8vUkzyf5ieU6H0n+a/vzcTjJZ5K8ebnMRZKHk5xOcnioNudjT3JL\nkkNt3f1JMuOHV9XYLQxudH8DeBfwJuBvgY1LPa4FPubVwLtb+23A/2PwMye/A+xu9d3Ab7f2xjYv\nK4H1bb5WLPVxjHA+/hvwp8AX2vtlOQ/tGPcBv9LabwLevhzng8EXdk8AV7X3+4FfXi5zAfwU8G7g\n8FBtzscOPANsBQI8AfzsTJ89rmcU3/+pj6r6V+D8T328YVXVqar6amt/G3iewR+M7Qz+Q0F7vb21\ntwOPVdXZqjoBHGcwb5e9JGuBDwKfGiovu3kASHItg/9APARQVf9aVf/EMp0PBk9qXpXkCuBq4P+z\nTOaiqr4CfGtKeU7HnmQ1cE1VPVWD1Hh0qM9FjWtQTPdTH2uWaCyLLskNwM3A08CqqjrVVr0CrGrt\nN/Ic/QHw34HvDdWW4zzA4P8G/x74k3Yp7lNJ3sIynI+qmgR+F/g74BTwWlX9X5bhXAyZ67Gvae2p\n9a5xDYplK8lbgc8CH6+qM8Pr2v8BvKGfZ07yc8Dpqnr2Ytssh3kYcgWDyw0PVtXNwL8wuMTwfctl\nPtr19+0MwvNHgLck+cXhbZbLXExnIY99XINiWf7UR5IrGYTEp6vqc638ajtdpL2ebvU36hy9B/j5\nJC8yuOT4/iT/k+U3D+edBE5W1dPt/Z8xCI7lOB//CThRVX9fVd8FPgf8JMtzLs6b67FPtvbUete4\nBsWy+6mP9uTBQ8DzVfWJoVUHgJ2tvRN4fKi+I8nKJOuBDQxuUl3WqureqlpbVTcw+Of+F1X1iyyz\neTivql4BXk5y/pdAb2Xws/zLcT7+Dtia5Or25+VWBvfyluNcnDenY2+Xqc4k2drm8I6hPhe31Hfy\nO3f4P8DgyZ9vAL++1ONZhON9L4PTxq8Bz7XlA8APAweBF4AvAdcP9fn1Nj/HmMWTC5fbAryPC089\nLed52ARMtH83/hdw3XKdD+C3gK8Dh4H/weCpnmUxF8BnGNyb+S6DM807L+XYgc1t/r4B/BHtFzp6\niz/hIUnqGtdLT5KkMWFQSJK6DApJUpdBIUnqMigkSV0GhSSpy6CQJHX9G5s8ohXZGsnMAAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x125a6d210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(webdeg,bins=50)\n",
    "plt.axis([0,1000,0,3000])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SmBiHexqSpCnC0Gim6p8qSXJTkh1JHh6qzUyyIcmW9j5jaNvqdgybkywdqp+b5KG27bok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\nbv8PD+TNyMl+l6wAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13d54a290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "c = plt.hist(webdeg,bins=40)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from collections import Counter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "c = Counter(webdeg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x13d5e4450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.loglog(c.keys(),c.values(), 'o');\n",
    "#plt.axis([0,1000,0,3000])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pg = nx.barabasi_albert_graph(800,3) #preferential attachment graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 740.,   41.,   11.,    3.,    1.,    1.,    0.,    0.,    2.,    1.]),\n",
       " array([   3. ,   12.9,   22.8,   32.7,   42.6,   52.5,   62.4,   72.3,\n",
       "          82.2,   92.1,  102. ]),\n",
       " <a list of 10 Patch objects>)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x13dca94d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pgdegrees = nx.degree(pg).values()\n",
    "plt.hist(pgdegrees)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x13df03c10>]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x13dca9610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "c = Counter(pgdegrees)\n",
    "plt.loglog(c.keys(),c.values(), 'o')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}