{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "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": 7, "metadata": {}, "outputs": [], "source": [ "g = nx.erdos_renyi_graph(600,0.2) #random graph" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "ds = nx.degree(g).values()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([ 4., 16., 45., 104., 121., 140., 93., 52., 17., 8.]),\n", " array([ 92. , 97.4, 102.8, 108.2, 113.6, 119. , 124.4, 129.8,\n", " 135.2, 140.6, 146. ]),\n", " )" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(webdeg,bins=50);" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0, 1000, 0, 3000]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(webdeg,bins=50)\n", "plt.axis([0,1000,0,3000])" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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QTwK9wKLc/D9M/Z8A1ufqq8j+JTwFfPUq9v8Jsuvzr5H9AD5G9r/xr4tjAD4C\n/CD1/0PgS6leF/3n3vtTXPrUVl30TnaP4bX0er3y72S99J/e9zfJPqDxl8Cfk92Ar6f+G4H/AyzI\n1Wa9f/9CopmZFVLPl7bMzKwGOEjMzKwQB4mZmRXiIDEzs0IcJGZmVoiDxMzMCnGQmJlZIQ4SMzMr\n5P8DiKy7Oz+lpxYAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c = plt.hist(webdeg,bins=40)\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "from collections import Counter" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "c = Counter(webdeg)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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N7EkzO2Bmv03YPtPMdpnZbjN7MNg8GdgX/KyePQn6eS2lDwO8novw\nrUckQX+vp5l9Ct8LYWOmz3Wo68+1DH7zfA3fNCkp6U7v5GTPniGqP9dS+pb09TTvYeAnzrlXMn+q\nOaFf/z6dc5ucczcBczJ9ojmgP9dyBr5h0h3A3WbW502vaV0Y3Tn3QtC+Iexszx4AM4v17FkFPBrk\npVTvn6A/19LMDgB/A3zYzB4Mup9KSD//bX4C+FNgjJm9zzn3jxk81ZzQz3+fF+FbsJfiO7lJSH+u\npXNuUfB4DnAwmeUI0xr0exFO44Af4V/vnDvJuSs1y/n1di0P41fAlv7p7XrOB1Zn55RyWm/Xcxu+\ni5okr8drGXvgnEvsJterbKRRhsbM8fCga5laup6ppeuZOim7ltkI+urZkzq6lqml65laup6pk7Jr\nmY2gr549qaNrmVq6nqml65k6KbuW6S7ZVM+eFNG1TC1dz9TS9UyddF/LIXNzloiIpJ/q4UVE8oiC\nvohIHlHQFxHJIwr6IiJ5REFfRCSPKOiLiOQRBX0RkTyioC8ikkf+P7rL9O/MT1MDAAAAAElFTkSu\nQmCC\n", "text/plain": [ "" ] }, "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": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "pg = nx.barabasi_albert_graph(800,3) #preferential attachment graph" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([ 747., 33., 7., 4., 2., 5., 1., 0., 0., 1.]),\n", " array([ 3. , 12.2, 21.4, 30.6, 39.8, 49. , 58.2, 67.4, 76.6,\n", " 85.8, 95. ]),\n", " )" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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FzgDbxtNVSdJSLXXWvbaq5rryHLC2K98GzA61mwXWL/EakqQxueYllqoqoBZqcq3XkCRd\nmxuXeNxcklur6lySdcD5rv4ZYONQuw1d3SWmpqZeLfd6PXq93hK7IknXp36/T7/fH8u5lhr2R4C9\nwKe7fw8P1T+S5A8YLN9sBo5f7gTDYS9JutT8ifD09PSSz7Vo2Cc5CPwS8I4kTwOfAD4FHEpyP3AW\nuA+gqmaSHAJmgIvAA90yjyRpghYN+6r6wBV2bb9C+/3A/mvplCRpvLwHXpIaYNhLUgMMe0lqgGEv\nSQ0w7CWpAYa9JDXAsJekBhj2ktQAw16SGmDYS1IDDHtJaoBhL0kNMOwlqQGGvSQ1wLCXpAYY9lfw\n8Y9/nCQTe0jSOC31zxI2YlJ/ZMuwlzRezuwlqQGGvSQ1YFnCPsmOJCeTnE7ye8txDUnS6MYe9klu\nAP4LsAPYCnwgyR3jvs71oz/pDrxh9Pv9SXfhDcOxeI1jMR7LMbPfBpypqrNVdQH478CuZbjOdaI/\n6Q68YfhD/RrH4jWOxXgsx90464Gnh7Zngfcsw3Wua5O8/bJqUnchTcakb3Vtbbw1GcsR9mP7n/vS\nS9/k5pt/ZVynG9mLL57kxRdX/LLzTO62z0mG3/T09ISu7G22ur5l3LOKJHcDU1W1o9veB7xcVZ8e\nauNURpKWoKqWNENYjrC/Efhb4N8D3weOAx+oqqfGeiFJ0sjGvoxTVReT/CbwF8ANwOcMekmarLHP\n7CVJbzwr/g3aVr9wlWRjkm8keTLJ3yT5cFe/JsmxJKeSHE2yetJ9XSlJbkhyIsmj3XaTY5FkdZIv\nJnkqyUyS9zQ8Fvu6n5EnkjyS5C2tjEWSzyeZS/LEUN0Vn3s3Vqe7PL1nsfOvaNg3/oWrC8BvV9U7\ngbuB3+ie+4PAsaraAjzWbbfiI8AMr90K0+pY/BHwlaq6A3gXcJIGxyLJ7cCHgLuq6t8wWAbeQztj\n8QUG2Tjsss89yVZgN4Mc3QE8lGTBPF/pmX2zX7iqqnNV9XhX/mfgKQbfSdgJHOiaHQDunUwPV1aS\nDcD7gT/htfsPmxuLJLcAv1hVn4fBZ15V9TwNjgXwIwaTopu6Gz1uYnCTRxNjUVV/BfxwXvWVnvsu\n4GBVXaiqs8AZBvl6RSsd9pf7wtX6Fe7DxHUzmDuBbwFrq2qu2zUHrJ1Qt1baHwK/A7w8VNfiWGwC\nfpDkC0m+m+SPk7yNBseiqp4Dfh/4ewYh/49VdYwGx2LIlZ77bQzy8xWLZulKh33znwYneTvw58BH\nquqfhvfV4NPy636MkvwycL6qTnCFbxW1MhYM7oi7C3ioqu4C/oV5yxStjEWSnwR+C7idQZi9PckH\nh9u0MhaXM8JzX3BcVjrsnwE2Dm1v5PWvTte1JG9mEPQPV9Xhrnouya3d/nXA+Un1bwX9HLAzyd8B\nB4F/l+Rh2hyLWWC2qr7dbX+RQfifa3Asfhr4ZlU9W1UXgS8BP0ubY/GKK/1MzM/SDV3dFa102H8H\n2Jzk9iSrGHzAcGSF+zARGfwOgs8BM1X12aFdR4C9XXkvcHj+sdebqvpoVW2sqk0MPoD7elX9Gm2O\nxTng6SRbuqrtwJPAozQ2Fgw+mL47yVu7n5ftDD7Ab3EsXnGln4kjwJ4kq5JsAjYz+ALrlVXVij6A\n9zH4hu0ZYN9KX39SD+AXGKxPPw6c6B47gDXA14BTwFFg9aT7usLj8kvAka7c5FgA/xb4NvA9BrPZ\nWxoei99l8GL3BIMPJN/cylgweJf7feAlBp9t/vpCzx34aJejJ4H/uNj5/VKVJDXAP0soSQ0w7CWp\nAYa9JDXAsJekBhj2ktQAw16SGmDYS1IDDHtJasD/B0IfNZjNE+wIAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pgdegrees = nx.degree(pg).values()\n", "plt.hist(pgdegrees)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "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 }