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Learning NetworkX in IPython.
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{ | |
"metadata": { | |
"name": "" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Introduction to NetworkX\n", | |
"========================\n", | |
"\n", | |
"Last updated: Fri Feb 14 21:16:57 GMT 2014\n", | |
"\n", | |
"In this notebook we introduce the NetworkX package for network analysis. To get started using NetworkX, first we have to import the package.\n", | |
"\n", | |
"Based on the NetworkX tutorial at [http://networkx.github.io/documentation/latest/tutorial/tutorial.html](http://networkx.github.io/documentation/latest/tutorial/tutorial.html)\n", | |
"\n", | |
"Source code: [https://gist.github.com/MHenderson/5902080](https://gist.github.com/MHenderson/5902080)\n", | |
"\n", | |
"Notebook viewer: [http://nbviewer.ipython.org/gist/MHenderson/5902080](http://nbviewer.ipython.org/gist/MHenderson/5902080)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"pylab.rcParams['figure.figsize'] = 6, 6\n", | |
"import random\n", | |
"random.seed(0)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 1 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Creating a Graph\n", | |
"----------------" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"import networkx as nx\n", | |
"G = nx.Graph()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 2 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Nodes" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.add_node(1)\n", | |
"G.add_nodes_from([2,3])" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 3 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"H = nx.path_graph(10)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 4 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.add_nodes_from(H)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 5 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.add_node(H)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 6 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"nx.draw(G)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
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9C9EXa9dfhygHojfW/vwPiGIQHXfccVFtbW305ptvRjk5OdG8efOiKIqi008/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\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x7f1a4c06c290>" | |
] | |
} | |
], | |
"prompt_number": 7 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Edges" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.add_edge(1,2)\n", | |
"nx.draw(G)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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2TGdMNMZXkrRZ+fn59D3ySNp+8QXji4poWsfeQmBMWhqv7LQTr82cSZs2bcIa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\nRU5ErkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x7f1a4c07f950>" | |
] | |
} | |
], | |
"prompt_number": 8 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"e = (2,3)\n", | |
"G.add_edge(*e)\n", | |
"nx.draw(G)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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L6NGjOeCAA+qt/7HHHuP3v/89GRkZdO3aldGjR/PII49sbD/ooINYuHAhS5cu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\nKWSGryRJITN8JUkK2f8Dqf6xl7ZAlREAAAAASUVORK5CYII=\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x7f1a4c076fd0>" | |
] | |
} | |
], | |
"prompt_number": 9 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.add_edges_from([(1,2),(1,3)])\n", | |
"G.add_edges_from(H.edges())\n", | |
"nx.draw(G)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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gAwcncw8q3zzk6rneN954w+woIuICMnrIQlr9+vXjyy+/5OjRow5M5R5UvnnI\nkiVLKFGihKZeEcmWzG62cVVgYCC9evViypQpDkzlHlS+eUTaqTf9h+ZFRDKS1eQL8L///Y958+Zx\n6dIlB6VyDyrfPGLp0qUUK1aM5s2bmx1FRFxEvXr12LVr100/z1umTBlat27NnDlzHJgs79PVznlA\ncnIy1apVY8aMGbRs2dLsOCLiQsqVK8fGjRupWLFipmt+/fVXHn30USIiIvDy8nJgurxLk28esHTp\nUooWLUqLFi3MjiIiLiar876Qeni6XLlyrFixwkGp8j6Vr4tLSUm5djcrnesVkZzKznlfSL3l5Acf\nfIAOluYOla+LW7p0KcHBwTrcLCK3JDuTL0Dbtm2Jjo5my5YtDkiV9+mcrwtLSUmhWrVqTJ06lfvv\nv9/sOCLigs6fP0/ZsmWJiorK8E5Xac2aNYt169axbt06B6XLuzT5urBPP/2UwoUL06pVK7OjiIiL\nKlSoEEWKFOHQoUNZru3Rowc7duzgzz//dECyvE3l66JSUlJ488039bleEblt2T3va7VaefbZZ5k0\naZIDUuVtKl8XtWzZMgoVKqSpV0RuW3bP+wI899xzLFu2jNOnT9s5Vd6m8nVBmnpFJDdld/IFKFq0\nKF26dGHGjBl2TpW36YIrF7R06VImT57M9u3bVb4ictsuXLjAHXfcQVRUFB4eHlmu//PPP2natClH\njhzBarUCkJCQgJeXV5YXbUkq/Sm5GE29IpLbgoKCKFasWLYuugKoXLkyDRo0YPDgwTStWxdfLy8C\n/Pzw8vQkJCiIkS++yF9//WXn1K5N5etili9fTmBgIK1btzY7iojkIdk972sYBtMnT2bH99+zd+5c\nBv/2G+eSk0m02UgwDL6NisI2YwYNq1WjXfPmHD9+3AHpXY/K14XoblYiYi/16tXL8ryvYRj8b8AA\nZo4axXcxMfxsGDwK+AMWwBOoBExITOTf+Hga/PADd9eurY8mZUDl60JWrFhB/vz5eeCBB8yOIiJ5\nTP369bOcfMe8+io/LlrE1pgYqmXxflbgteRkXj93joeaNuXkyZO5ljUv0AVXLsJms1GjRg3ef/99\nHnroIbPjiEgeExUVRenSpTO96OrPP/+kad267I2Lo1gO33ukpydnOndm3pIluRM2D9Dk6yJWrFhB\nQEAADz74oNlRRCQPKliwIMWLF+fgwYMZ7g+bPJmnk5JuKN5EoBdQitTDz9WA1enWDEtO5rPVqzl/\n/nxux3Ya9yKhAAAgAElEQVRZKl8XYLPZdIWziNhdZhddxcTEsGjhQvolJ9+wLxmoCvwKxADvA92B\niDRrgoGH8+Xjo3nz7BHbJal8XcDKlSvx8/PT1CsidpXZzTY2bdpEHU9PymTwGj9gJFD8ytcPkVrG\n6d+ld2wsK+bPz824Lk3l6+RsNhtjxozR1CsidpfZ5HvmzBnuSEnJ1nucAg4A1dNtLw2cOXfudiPm\nGSpfJ7dy5UqsVqsushIRu6tbty579uwhOd3h5ZSUFDxstixfn0TqIececMPV0J5AcjYL3B2ofJ2Y\nzvWKiCMFBgZSsmTJGz6XGxQUxFlPz5u+1kZq6foC0zLYfwYIKlAgl5K6PpWvE1u1ahW+vr60adPG\n7Cgi4iYyOu/bpEkTvk9M5GImrzGAp0gt2FVARneHXunlRYu2bXM1qytT+Tqpq1Ov7mYlIo6U0Xnf\nEiVKcH/Llnycyd9FzwIHgbWAdwb744D5Hh48+7//5XJa16XydVKfffYZ3t7etNV3iiLiQJld8fz8\niBFM9/cnMd32f4BZwG5Sr3jOf+VH2ttpLAYa1K9PaGiofUK7IN3hygnZbDZq167N22+/Tbt27cyO\nIyJu5NKlS5QoUYKLFy/imeY8r2EYdGzdmqAffmBefHy2J7dfgDZ+fmzYsoV69erZJbMr0uTrhFav\nXo2XlxcPP/yw2VFExM0UKFCA0qVLc+DAgeu2WywWPlm9mojKlenh60t8Nt7rG6Ct1cq8pUtVvOmo\nfJ2MPtcrImbL7PO+/v7+fL19O7bWrSlntTLa05Oj6dYkk3rRVauAAHoULMjyL7/UEbwMqHydzJo1\na/D09NTUKyKmyey8L4DVamXJmjVs+vVXovr0oZbVSu0CBagLNC5QgBBfXybWrEnfmTM5cvIkTZs2\ndWx4F6Fzvk7EZrNRt25d3nzzTdq3b292HBFxU1u2bGHEiBH89NNPWa6Njo7m0KFDNGjQgO+//55S\npUpRrlw5B6R0bSpfJ/LZZ5/x1ltvsXPnTh1yFhHTXL58meLFixMVFYWXl1eW61NSUvDy8iIlJUV/\nd2XTzW9ZIrnu8uXLbNiwgVOnTpGUlETBggW57777KF++vO5mJSJOIX/+/Nxxxx3s37+fWrVqZbk+\nKSkJb29v/d2VAypfB/n9998J+/BDlnzyCY08PSmXlISnzcY5Ly9GpKRQrlw5LsbH63O9IuIUrp73\nzU75JiYm4u2d0e01JDO64MrODMPgzdGjaXXXXRT56CP2xsXxxeXLTI+PZ3JiIotiYvg3Pp6BBw4Q\n+N9/tGzUiAsXLpgdW0TcXGZXPGdE5ZtzKl87GzpwIGsnTmR3XBxjUlIolcEaK9AT2BkfT719+2ha\nvz5RUVEOTioi8v/q1auX6RXP6al8c07la0ezwsLY+NFHfB0be+1B0zeTD/ggMZFmx47RpW1bdC2c\niJilTp06/P777yQlJWW5NjExMVsXZsn/U/naSXJyMmNHj2ZhbCxBOXidBZiUmMhfe/bw888/2yue\niMhNBQQEUKZMGf74448s12ryzTmVr52sX7+ekIQEMrqh2j9Aa1JvPl4Y6A/X3azcA3g2NpYZ779v\n/6AiIpmoX79+ts77qnxzTuVrJ2Hvvcdz0dEZ7hsAhADngP3Aj8DkdGt6Gwbr1q/n7Nmzds0pIpKZ\n7J73vfpRI8k+la+d7Ny7l9aZ7IsAHif1uZfFgAeBw+nWFAZq+Phk65CPiIg93Ow2k2lp8s05la+d\nRN3kXO9DwCekPmD6OPAlkNGnewNBVz2LiGlq167N77//TmJi+qf4Xk/lm3MqXzuxenkRl8m+N4Df\ngQJAaaAB0CGDdXGk3sRcRMQM/v7+lC9fPssjcCrfnFP52klIkSL8mcF2A3gAeAyIBc4CF4GR6dbZ\ngMPJyYSEhNg1p4jIzWTnZhsq35xT+dpJzwEDmO3re8P2U8BOYCDgBRQC+gLr0q37CggOCaFq1ap2\nTioikrnsnPdV+eacytdOnurXj5VA+htFFrnyIwxIAaKA+UD6ip0REMBzI0fqRuUiYipNvvah8rWT\nokWL8nCbNryR7j9IT2AlsILUc75lgGRgWpo1m4GfLBa6du3qoLQiIhmrXbs2+/fvJyEhIdM1Kt+c\nU/na0eTZs9lYrBjveXhct/1eYAcQQ+r53tVw7faTvwJdrFaWrl6Nn5+fI+OKiNzAz8+P0NBQfv/9\n90zXqHxzTuVrR4UKFeLrbdtYWLo0/by9+fcma2OBmUAbPz9mLVlCixYtHJRSROTmsjrvq/LNOZWv\nnZUuXZoffvsNv759qePnRwd/f9YAu4E/gC3AEG9vSnp4MLFECb7csoUOHTL64JGIiDmyOu+rByvk\nnMrXAQoWLMiHYWH8e/o07SZNYtpdd9GrbFk6h4TwUtWq+AwaxLc7dnA2IYEiRYqYHVdE5DqafHOf\nxdBz65zGyy+/zIULFwgPDzc7iojINXFxcRQuXJgLFy7g4+Nzw/7x48dz8eJF3nnnHRPSuSZNvk5k\n6NChLFu2jH//vdnZYRERx7JarVSoUIF9+/ZluF8PVsg5la8TKVKkCM888wzjx483O4qIyHVudt5X\nh51zTuXrZIYNG8ann37K0aNHzY4iInLNzc77qnxzTuXrZIKDg3n66ad17kREnIom39yl8nVCw4YN\nY8mSJRw7dszsKCIiANSsWZODBw8SHx9/wz6Vb86pfJ1Q0aJF6du3r6ZfEXEaVquVihUrsnfv3hv2\nqXxzTuXrpIYPH84nn3zC8ePHzY4iIgKkHnrO6LyvyjfnVL5OqlixYvTp04d3333X7CgiIkDqRVcZ\nnfdV+eacyteJDR8+nEWLFnHixAmzo4iIaPLNRSpfJ1a8eHF69eql6VdEnELNmjU5dOgQcXFx121X\n+eacytfJjRgxgo8//pj//vvP7Cgi4uZ8fX2pVKnSDRdd6cEKOafydXIlSpSgZ8+evPfee2ZHERHJ\n8GYbmnxzTuXrAkaMGMGCBQs4efKk2VFExM1ldLMNlW/OqXxdQMmSJXnyySeZMGGC2VFExM1lNPnq\nwQo5p/J1ESNHjmT+/PmcOnXK7Cgi4sZq1KjB4cOHr7voSpNvzql8XURISAhPPPGEpl8RMZWPjw9V\nqlRhz54917apfHNO5etCXnrpJebNm8fp06fNjiIibiz9eV+Vb86pfF1IqVKl6NatG++//77ZUUTE\njaU/76vyzTmVr4t56aWXmDNnjqZfETGNJt/bp/J1MaVLl+bxxx/ngw8+MDuKiLip6tWrExkZSWxs\nLKDyvRUqXxf08ssvM3v2bM6ePWt2FBFxQz4+PlStWpXdu3cDKt9bofJ1QXfccQddunTR9Csipkl7\n3lflm3MqXxf18ssvM3PmTE2/ImKKq+d9bTYbycnJeHp6mh3Jpah8XVSZMmXo3LkzEydONDuKiLih\nq5NvfHy8ivcWqHxd2CuvvMLMmTM5d+6c2VFExI1ERESwcM4c/v7jDwoEBGAkJ2P19ua+OnVYunQp\niYmJZkd0eipfF1a2bFk6derEpEmTzI4iIm7g6NGjPHTvvdxdowbes2ezG0gwDJKB88nJDN69m1nP\nPMMdwcFMnzwZwzDMjuy0LIb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sSIedxTSFCxcmPDycPn36EB0dbXYcEdN9+eWX/PHHHwwb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\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x7f1a4c097b50>" | |
] | |
} | |
], | |
"prompt_number": 10 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.remove_node(H)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 11 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"nx.draw(G)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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lvpo7l2++/JLzFy6QkZlJcV9fHn78cV4cM4batWuzceNGFixYoMuKROSu/VO+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\nx0UAAAAASUVORK5CYII=\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x443fcd0>" | |
] | |
} | |
], | |
"prompt_number": 12 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.clear()\n", | |
"\n", | |
"G.add_edges_from([(1,2),(1,3)])\n", | |
"G.add_node(1)\n", | |
"G.add_edge(1,2)\n", | |
"G.add_node(\"spam\") # adds node \"spam\"\n", | |
"G.add_nodes_from(\"spam\") # adds 4 nodes: 's', 'p', 'a', 'm'\n", | |
"\n", | |
"nx.draw(G)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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MTU7m75EIDz32GL+68MIgHka14nkBSarlunXrxrPPPsuCBQtYs2YNbdu2JS0t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\ndtD91Htbz0YAAAAASUVORK5CYII=\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x445ffd0>" | |
] | |
} | |
], | |
"prompt_number": 13 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.number_of_nodes()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 14, | |
"text": [ | |
"8" | |
] | |
} | |
], | |
"prompt_number": 14 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.number_of_edges()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 15, | |
"text": [ | |
"2" | |
] | |
} | |
], | |
"prompt_number": 15 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.nodes()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 16, | |
"text": [ | |
"['a', 1, 2, 3, 'spam', 'm', 'p', 's']" | |
] | |
} | |
], | |
"prompt_number": 16 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.edges()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 17, | |
"text": [ | |
"[(1, 2), (1, 3)]" | |
] | |
} | |
], | |
"prompt_number": 17 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.neighbors(1)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 18, | |
"text": [ | |
"[2, 3]" | |
] | |
} | |
], | |
"prompt_number": 18 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.remove_nodes_from(\"spam\")\n", | |
"G.nodes()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 19, | |
"text": [ | |
"[1, 2, 3, 'spam']" | |
] | |
} | |
], | |
"prompt_number": 19 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.remove_edge(1,3)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 20 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"H = nx.DiGraph(G)\n", | |
"H.edges = [(1,2),(2,1)]" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 21 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"edgelist = [(0,1),(1,2),(2,3)]\n", | |
"H = nx.Graph(edgelist)\n", | |
"nx.draw(H)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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FWbduXfWymtXT7Xa71YsAYHZ0u92sXbs2Z3/wg7n67/8+L+vtzQHj4+l2u/nF0FC+3unk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\n/wNzcYaPqLMQTQAAAABJRU5ErkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x4820150>" | |
] | |
} | |
], | |
"prompt_number": 22 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Accessing edges" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G[1]" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 23, | |
"text": [ | |
"{2: {}}" | |
] | |
} | |
], | |
"prompt_number": 23 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G[1][2]" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 24, | |
"text": [ | |
"{}" | |
] | |
} | |
], | |
"prompt_number": 24 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.add_edge(1,3)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 25 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G[1][3]['color'] = 'blue'" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 26 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"FG = nx.Graph()\n", | |
"FG.add_weighted_edges_from([(1,2,0.125),(1,3,0.75),(2,4,1.2),(3,4,0.375)])\n", | |
"for n,nbrs in FG.adjacency_iter():\n", | |
" for nbr,eattr in nbrs.items():\n", | |
" data=eattr['weight']\n", | |
" if data<0.5: print('(%d, %d, %.3f)' % (n,nbr,data))" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"(1, 2, 0.125)\n", | |
"(2, 1, 0.125)\n", | |
"(3, 4, 0.375)\n", | |
"(4, 3, 0.375)\n" | |
] | |
} | |
], | |
"prompt_number": 27 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Adding attributes to graphs, nodes, and edges" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Graph attributes" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G = nx.Graph(day=\"Friday\")\n", | |
"G.graph" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 28, | |
"text": [ | |
"{'day': 'Friday'}" | |
] | |
} | |
], | |
"prompt_number": 28 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Node attributes" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.graph['day'] = 'Monday'\n", | |
"G.graph" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 29, | |
"text": [ | |
"{'day': 'Monday'}" | |
] | |
} | |
], | |
"prompt_number": 29 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.add_node(1, time = '5pm')\n", | |
"G.add_nodes_from([3], time = '2pm')\n", | |
"G.node[1]" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 30, | |
"text": [ | |
"{'time': '5pm'}" | |
] | |
} | |
], | |
"prompt_number": 30 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.node[1]['room'] = 714\n", | |
"G.nodes(data = True)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 31, | |
"text": [ | |
"[(1, {'room': 714, 'time': '5pm'}), (3, {'time': '2pm'})]" | |
] | |
} | |
], | |
"prompt_number": 31 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Edge attributes" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G.add_edge(1, 2, weight = 4.7 )\n", | |
"G.add_edges_from([(3,4),(4,5)], color = 'red')\n", | |
"G.add_edges_from([(1,2,{'color':'blue'}), (2,3,{'weight':8})])\n", | |
"G[1][2]['weight'] = 4.7\n", | |
"G.edge[1][2]['weight'] = 4" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 32 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Directed Graphs" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"DG = nx.DiGraph()\n", | |
"DG.add_weighted_edges_from([(1,2,0.5), (3,1,0.75)])" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 33 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"DG.out_degree(1,weight = 'weight')" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 34, | |
"text": [ | |
"0.5" | |
] | |
} | |
], | |
"prompt_number": 34 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"DG.degree(1,weight = 'weight')" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 35, | |
"text": [ | |
"1.25" | |
] | |
} | |
], | |
"prompt_number": 35 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"DG.successors(1)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 36, | |
"text": [ | |
"[2]" | |
] | |
} | |
], | |
"prompt_number": 36 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"DG.neighbors(1)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 37, | |
"text": [ | |
"[2]" | |
] | |
} | |
], | |
"prompt_number": 37 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"DG" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 38, | |
"text": [ | |
"<networkx.classes.digraph.DiGraph at 0x481d290>" | |
] | |
} | |
], | |
"prompt_number": 38 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"DG = nx.Graph(DG)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 39 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"DG" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 40, | |
"text": [ | |
"<networkx.classes.graph.Graph at 0x481d350>" | |
] | |
} | |
], | |
"prompt_number": 40 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Multigraphs" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"MG = nx.MultiGraph()\n", | |
"MG.add_weighted_edges_from([(1,2,.5), (1,2,.75), (2,3,.5)])" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 41 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"MG.degree(weight = 'weight')" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 42, | |
"text": [ | |
"{1: 1.25, 2: 1.75, 3: 0.5}" | |
] | |
} | |
], | |
"prompt_number": 42 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"GG = nx.Graph()\n", | |
"for n,nbrs in MG.adjacency_iter():\n", | |
" for nbr,edict in nbrs.items():\n", | |
" minvalue=min([d['weight'] for d in edict.values()])\n", | |
" GG.add_edge(n,nbr, weight = minvalue)\n", | |
"\n", | |
"nx.shortest_path(GG,1,3)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 43, | |
"text": [ | |
"[1, 2, 3]" | |
] | |
} | |
], | |
"prompt_number": 43 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Graph generators and graph operations" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Subgraphs" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"G = nx.petersen_graph()\n", | |
"H = nx.subgraph(G, [1,2,3,4,5,6,7,8])\n", | |
"nx.draw(H)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
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5uri4ZJFGsrNp0ybS09N58sknjY5i81S+IrecOXOG0qVL4+ioLc/vx4avv+b5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\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x481dc10>" | |
] | |
} | |
], | |
"prompt_number": 44 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Union" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"H1 = nx.subgraph(G, [1,2,3,4])\n", | |
"H2 = nx.subgraph(G, [5,6,7,8])\n", | |
"HH = nx.union(H1, H2)\n", | |
"nx.draw_circular(HH)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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vKGBbSkrlh/NRKl8vuZyVVe4X48+A6kAXYN0NzqlB0bJ+ERE7Xb58mRoFBeWe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\nmMpXRETEYipfERERi6l8RURELPb/AQG3i6YdkZ1+AAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x7f1a4c076910>" | |
] | |
} | |
], | |
"prompt_number": 45 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"H4 = nx.disjoint_union(H1, H1)\n", | |
"nx.draw_circular(H4)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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/iIiTLl++TMXc3CKPfQG4gLibvtYK+PS28yoCV65d80o+X6Ty9ZLwkBDutB7w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\nSUVORK5CYII=\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x4826ad0>" | |
] | |
} | |
], | |
"prompt_number": 46 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Product" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"H5 = nx.cartesian_product(H1, H1)\n", | |
"nx.draw_circular(H5)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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4sSpXnTx5kkOGDKFKpeIbb7zB/fv3U6PRsF27dly3bl2+2s5NfHw8HRwcsp3t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\nCTOxXa8BMgwQZ0Bsb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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x44414d0>" | |
] | |
} | |
], | |
"prompt_number": 47 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Composition" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"H1 = nx.subgraph(G, [1,2,3,4])\n", | |
"nx.draw_circular(H1)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x482f890>" | |
] | |
} | |
], | |
"prompt_number": 48 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"H2 = nx.subgraph(G, [3,4,5,6])\n", | |
"nx.draw_circular(H2)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x48250d0>" | |
] | |
} | |
], | |
"prompt_number": 49 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"HH = nx.compose(H1, H2)\n", | |
"nx.draw_circular(HH)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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PT908vTf/vUzi97OciK+dFL3rLv14nY/vl7RBUr+r//1mf1r8OStLRYoUyfdt\nAHArihYtqp9y+XnzuV2+P0sqUqhQvm1ydsTXTtq0b6+Z1/nFukXS95LKSCohabSkRcp+t+C19kq6\n6OenGjVq2HcoAOSiYcOG2pOerp9u8pzcLt8ZAQFq27Vrfs5yasTXTvr066fJ3t5Ky/HxXpLiJR1Q\n9hX8gqTHJa3J8bwJ/v564ZVX+DINAMuFhITo6aef1mfXOSgyJaVKyrj6f6dd/c9r/SFpqc2mbs8/\nb++pToP42klkZKSq3Hefpnj89c+DAZLCrv5TTFLw1Y9d+07B75V9DT/fq5eRrQCQmz6vvqrPfHz0\ne46PD1X2txKNlDRL2b+fvZvjOR96eanl44/zMto1+AlXdnTkyBHVr11bs5KS9GgeP+ecpEcCA/Xi\n8OF66ZVX7DkPAG7JwNdf15b//EdrL19WcB4/Z5akfxYurJ0HDqhUqVL2nOdUuHztKDo6Wou/+EJd\ngoM1xcMj13cL7pf0UGCgOr7yCuEF4HDe/eADVWnbVvWCgnQql+dekfS+l5feCg3V6s2bCW8OxNfO\n6tatqw07d2pypUoqFxio4V5eOqP/e2dgmqR5kuqFhOjxggU1aPx4/Xv4cOsGA8ANeHp6auK0aXp6\n8GA9FBys5sHBWikp/erjNkmnJb3t7a0yAQFaV6uWduzfr8qVK1s32kHxZWeD9u7dq0/HjNG8hQuV\nlpEhH09PpWZm6pH779eLb73FXzwNwGmkpKRowYIFmjBypPYcO6YALy+lZWYqJCBAXbp00QuvvKKo\nqCirZzos4muR1NRUXblyRSEhIfLwyO1N+gDguLKysnTp0iX5+/vLz+9W/84j90R8AQAwjNd8AQAw\njPgCAGAY8QUAwDDiCwCAYcQXAADDiC8AAIYRXwAADCO+AAAYRnwBADCM+AIAYBjxBQDAMOILAIBh\nxBcAAMOILwAAhhFfAAAMI74AABhGfAEAMIz4AgBgGPEFAMAw4gsAgGHEFwAAw4gvAACGEV8AAAwj\nvgAAGEZ8AQAwjPgCAGAY8QUAwDDiCwCAYcQXAADDiC8AAIYRXwAADCO+AAAYRnwBADCM+AIAYBjx\nBQDAMOILAIBhxBcAAMOILwAAhhFfAAAMI74AABhGfAEAMIz4AgBgGPEFAMAw4gsAgGHEFwAAw4gv\nAACGEV8AAAwjvgAAGEZ8AQAwjPgCAGAY8QUAwDDiCwCAYcQXAADDiC8AAIYRXwAADCO+AAAYRnwB\nADCM+AKUB21FAAAJDUlEQVQAYBjxBQDAMOILAIBhxBcAAMOILwAAhhFfAAAMI74AABhGfAEAMIz4\nAgBgGPEFAMAw4gsAgGHEFwAAw4gvAACGEV8AAAwjvgAAGEZ8AQAwjPgCAGAY8QUAwDDiCwCAYcQX\nAADDiC8AAIYRXwAADCO+AAAYRnwBADCM+AIAYBjxBQDAMOILAIBhxBcAAMOILwAAhhFfAAAMI74A\nABhGfAEAMIz4AgBgGPEFAMAw4gsAgGHEFwAAw4gvAACGEV8AAAwjvgAAGEZ8AQAwjPgCAGAY8QUA\nwDDiCwCAYcQXAADDiC8AAIYRXwAADCO+AAAYRnwBADCM+AIAYBjxBQDAMOILAIBhxBcAAMOILwAA\nhhFfAAAMI74AABhGfAEAMIz4AgBgGPEFAMAw4gsAgGHEFwAAw4gvAACGEV8AAAwjvgAAGEZ8AQAw\njPgCAGAY8QUAwDDiCwCAYcQXAADDiC8AAIYRXwAADCO+AAAYRnwBADCM+AIAYBjxBQDAMOILAIBh\nxBcAAMOILwAAhhFfAAAM87Z6AJAbm82m2NhY/fTTT0pNTVWBAgVUtWpVlSxZ0uppcDHfffedjhw5\noosXLyooKEj33nuvqlSpYvUsuCDiC4eVmJiomTNmaMIHHygzIUGRnp4KsNl0wdNT36SlqWG9eurb\nv78aNGggDw8Pq+fCSWVmZmrVqlWa8P77io2NVS0/P4VkZSnZ01OHMjJUtHRp9R0wQE899ZQCAgKs\nngsX4WGz2WxWjwBy+uKLL9SlfXs1ktT38mU9IunavF6SNFvShOBgFShfXkvWrlWRIkUs2Qrndfr0\nabVs2FCB587pxUuX1F6S/zWPZ0pao+xfZ3u9vbXkyy9Vu3Zta8bCpRBfOJwF8+fr/z33nBanpKhO\nLs/NkvS2r68Wh4VpW2yswsLCTEyEC4iPj9cjtWrpjcRE9cvMzPX5qyQ9Fxio+StXqkGDBvYfCJdG\nfOFQvv76a7Vs2FDrkpNV9RY+b5CPj9ZHRmrb3r3y8fGx2z64hkuXLqlmdLRe+eUX9c3KyvPnbZLU\nMThYX8XGqkKFCvYbCJfHu53hUGL699d7txheSRqani7P77/XihUr7LILrmX6tGmqcv78LYVXkhpI\neiklRR/ExNhnGNwGly8cRnx8vGpXqqQfUlOV820t9SV9rf97h2BpSUdzPOdzSVMeeEDrv/7avkPh\n1Gw2myrdc48m/vijHrnBc+ZKipH0o6QikmZIevjqY79JivL313e//qqCBQvafzBcEpcvHMZ/xo/X\nc5mZfwuvlP1mq0+U/UarS/p7eCXpSUnfHjqkY8eO2XElnN2WLVvkmZDwv5jmtFzS25LmKfvX2m5J\nEdc8XkxSM09PTZs61b5D4dKILxzGV+vWqWV6+g0fz+1LNH6SHvX01I4dO/J1F1zLV199pZbJybrR\nN6f9W9JQSX9+d29RSSVyPKdlcrK2r1ljp4VwB8QXDiMhMVGFbvL4W5JCJdVS9rd/XE+h9HRduHAh\n37fBdSScPatCN3itN0nSAUnfS6ogKUxSD0kpOZ5XWFLC+fP2GwmXR3zhMHx9fHTlBo+NUvbrb39I\nel1SW0nHr/O8K56e8vX1tdNCuALfgIAb/jpLUPZXWJZJ2iXppKQTkgbneN4VSX5+fnbbCNdHfOEw\nihcvru9u8FgNZf/wA09JT0lqKOl672v+zsdHxYoVs9NCuILiJUvqO3//6z4WfPU/X5JUSFIBSf0k\nrc7xvHhJxUqXttdEuAHiC4fRqXdvTQkOzv2Jyr5Ocr4G/IOkrzMy1KxZs/yeBhfSrl07LVb2m6ly\nClX2O+lvxiZpSnCwOj3/fL5vg/sgvnAYHTp00DeS4nJ8PFHSRknpyv6JVgslbZD0eI7nfebtrWe6\ndFFwHgMO91SqVCk1rF9fs27weDdlv7P+gqSLksZJanHN4zskpYSEqFGjRvYdCpdGfOEwAgIC1O35\n5zXEz+8vV226pP7KfpNLAUkjJC2QFH3Nc36WNMnHR3369TO2F87rxf79NTooSNd7a95gZb/MES7p\nXklRyn73s5T9s56HBAaqz+uvy9OT3z5x+/ghG3Aoly5dUr2aNdUyPl7/zsi44beDXOt3SY2DgtRp\n4EANePtte0+EC7DZbOrXp48OzpypFcnJysvXSrIk9fHzU3yNGlq1aRNv7MMd4Y9ucCghISFatXmz\nlt5zj3r5+em3mzzXJmm7pDqBgWr+wgvq/89/GloJZ+fh4aExn3yicq1bq35goPbn8vzTktoHBOj4\nffdp4erVhBd3jPjC4ZQoUULb9u6VZ4cOivT3V6fAQG2S9KuyX4f7XtJnkqoHB+u5EiU06JNPNHzU\nKP5OX9wSLy8vTZ41S12GDlWL0FD9IyREs5X9xr1EZb+UsVpSq6Ag3R8YqHI9emjNtm0qUKCApbvh\nGviyMxzahQsXNP2//9WMCRP089mzSk5LU2hwsKpXq6a+/furcePGvPaGO5aRkaEVK1boP6NG6fDR\no0pMTlawv7/Kli6t7v36qVOnTgoKCrJ6JlwI8QUAwDBOBgAADCO+AAAYRnwBADCM+AIAYBjxBQDA\nMOILAIBhxBcAAMOILwAAhhFfAAAMI74AABhGfAEAMIz4AgBgGPEFAMAw4gsAgGHEFwAAw4gvAACG\nEV8AAAwjvgAAGEZ8AQAwjPgCAGAY8QUAwDDiCwCAYcQXAADDiC8AAIYRXwAADCO+AAAYRnwBADCM\n+AIAYBjxBQDAMOILAIBhxBcAAMOILwAAhhFfAAAMI74AABhGfAEAMIz4AgBgGPEFAMAw4gsAgGHE\nFwAAw4gvAACGEV8AAAwjvgAAGEZ8AQAwjPgCAGAY8QUAwDDiCwCAYcQXAADDiC8AAIYRXwAADCO+\nAAAYRnwBADCM+AIAYBjxBQDAMOILAIBhxBcAAMOILwAAhhFfAAAMI74AABhGfAEAMIz4AgBgGPEF\nAMAw4gsAgGHEFwAAw4gvAACGEV8AAAwjvgAAGEZ8AQAwjPgCAGAY8QUAwDDiCwCAYcQXAADDiC8A\nAIYRXwAADCO+AAAYRnwBADCM+AIAYBjxBQDAMOILAIBhxBcAAMOILwAAhhFfAAAM+/9y+UomtSem\nvQAAAABJRU5ErkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x7f1a4c073090>" | |
] | |
} | |
], | |
"prompt_number": 50 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Complement" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"GP = nx.nx.complement(G)\n", | |
"nx.draw_circular(GP)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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1dalVq1YFNi7w8PBQaE9addz5En1aBGZkZFSsFbgfP36k6dOnk4mJSYFtDP/8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\nAQAAAIBB/taz2FUSAczkCwCzAARGkxjGzHRuAAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x443b390>" | |
] | |
} | |
], | |
"prompt_number": 51 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Classic small graphs" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"petersen = nx.petersen_graph()\n", | |
"tutte = nx.tutte_graph()\n", | |
"maze = nx.sedgewick_maze_graph()\n", | |
"tet = nx.tetrahedral_graph()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 52 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"nx.draw(petersen)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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46aef/nVesG3btuzYsYOPP/6Yr776Cjc3Nw2TZt74mTPp3ro1LrGxlH/h9TKk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\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x7f1a4c07b950>" | |
] | |
} | |
], | |
"prompt_number": 53 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"nx.draw(tutte)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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dpHSBZxPPS0jnmEgQd3t7adasmfj4+IiXl5c0bdpUXn31VZk2bZps2rRJTp06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z3gPJ0xhieuhkSzXq0EihYvTsmSCRuj1ZPS4JvKZc2alWuRkUQC+zHG4vV0bEvqk28EcD0igixZ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\nSLVy5WTp0qX35fxNjfr17SvDH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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x482fe10>" | |
] | |
} | |
], | |
"prompt_number": 54 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"nx.draw(maze)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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MmUOXLl2IiooyOo7Fbdmyhdq1a+Ph4WF0FHFQmna2PpWvPJG0tDQ6depE6dKl\nef/9942O89CaNWvGCy+8wMCBA42OYnGacpYnpQVX1mcym81mo0OI43r33XfZsWMHW7Zscbj3xUZF\nRVGuXDlmz55N06ZNjY5jEWazmUKFCvHzzz/zzDPPGB1HHFRKSgqenp7ExMTg5uZmdBynpJGvPLYF\nCxawatUq1qxZ43DFC5AtWzbmzZtHt27diIyMNDqORYSGhuLh4aHilSeSKVMm8uXLx4ULF4yO4rRU\nvvJYfvrpJ4YMGcK6devIlSuX0XEe2/PPP4+/vz8DBgwwOopF6BYjsRRd97Uula88shMnTtCxY0eW\nLVtGqVKljI7zxMaNG8fPP//M+vXrjY7yxDZs2ECzZs2MjiFOQNd9rUvlK4/k33//xd/fn48//phG\njRoZHccismbNyvz583njjTeIiIgwOs5ji4qKYt++fTRs2NDoKOIENPK1LpWvPLTExERat25N69at\n6dq1q9FxLKpBgwa0adPm5jOpHdGWLVuoVasWnp6eRkcRJ6AHbViXylceitlspnv37vj6+jJ27Fij\n41jFmDFj2L17N998843RUR6LbjESS9KDNqxL5SsPZcyYMRw9epSlS5fi4uKcf2y8vLxYsGABvXr1\n4sqVK0bHeSRms1nlKxalaWfrcs7/iopFrVy5kpkzZ7J27Vq8vLyMjmNVderUISAggDfffNPoKI/k\n6NGjuLm58eyzzxodRZyEFlxZl8pX7iskJITevXuzdu1aChQoYHQcmxg1ahQHDx5k1apVRkd5aDdG\nvfbw7mRxDr6+viQmJhIdHW10FKek8pV7Onv2LK1bt2b+/PlUqFDB6Dg24+HhwcKFC+nTpw/h4eFG\nx3kousVILM1kMmnq2YpUvpKuqKgo/P39GTRoEC+++KLRcWyuRo0aBAUF0atXL+z9CazR0dH89ttv\nTnPrl9gPla/1qHzlLikpKXTo0IE6deo49K03T+qDDz7g999/Z/ny5UZHua8ff/yRGjVqOP31eLE9\n3W5kPSpfuUv//v1JS0tj8uTJGfoaoru7O4sWLaJfv35cunTJ6Dj3pFXOYi263ch6VL5ymylTprB1\n61ZWrlxJ5syZjY5juCpVqtC9e3feeOMNu5x+1i1GYk2adrYela/c9P333zNmzBjWrVuHj4+P0XHs\nxrBhwzh79ixLly41Ospdfv/9d1xcXJziGdtif3S7kfWofAW4/iq6wMBAvv76a4oWLWp0HLvi5ubG\nwoULefspWGKqAAAgAElEQVTtt+3uFWs3Vjln5MsDYj0a+VqPylcICwvjxRdfZPLkydSsWdPoOHap\nYsWK9O7dm27dutnV9LOmnMWabpSvPf2ZdxYq3wwuLi6OVq1a0aVLFwICAoyOY9fee+89wsLCWLBg\ngdFRAIiJiSEkJES3GInVZM2aFQ8PD4d73KojUPlmYGlpaQQGBlKyZEmGDRtmdBy7lzlzZhYtWsTg\nwYPt4jrY1q1bqVatGt7e3kZHESem677WofLNwIYOHcqlS5eYO3eurhk+pHLlytG/f3+6du1q+FSc\nppzFFnTd1zpUvhnUwoULWbFiBWvWrCFLlixGx3EogwYNIjIyktmzZxuWwWw2s3HjRpWvWJ3K1zoy\nGR1AbG/btm0MGjSI7du3kzt3bqPjOJxMmTKxcOFC6tevT5MmTQxZHX7ixAlSU1MpU6aMzc8tGYum\nna1DI98M5uTJk7Rv355ly5bp3tAnUKZMGQYNGkSXLl1IS0uz+fl1i5HYika+1qHyzUAiIiLw9/dn\n1KhRNG7c2Og4Dm/AgAHEx8czY8YMm59b13vFVjTytQ6T2ehVI2ITSUlJNGnShKpVq/Lpp58aHcdp\nnDhxgjp16rBr1y5KlChhk3PGxsaSL18+Lly4QLZs2WxyTsm4zpw5Q926dTX6tTCNfDMAs9nMG2+8\nQfbs2Rk7dqzRcZxKyZIlef/99wkODrbZ9PNPP/1ElSpVVLxiEwULFuTy5cukpKQYHcWpqHwzgE8+\n+YRDhw7xxRdf4OrqanQcp9O3b19MJhOTJ0+2yfm0yllsKXPmzOTOnZuLFy8aHcWpqHyd3FdffcW0\nadP47rvv9L5XK3FxcWH+/Pl8/PHHnDx50qrn0luMxAh6r6/lqXyd2J49e+jZsydr166lYMGCRsdx\naiVKlGDEiBEEBQWRmppqtfP88ccfJCYmUrZsWaudQ+ROeq+v5al8ndS5c+do3bo18+bNo2LFikbH\nyRB69eqFu7s7EyZMsNo5dIuRGEG3G1meytcJRUVF4e/vz9tvv02rVq2MjpNh3Jh+HjduHMeOHbPK\nOTTlLEbQ7UaWp/J1MikpKQQEBFCzZk369+9vdJwM5+mnn2bUqFEEBQVZfHVoXFwcv/76K88//7xF\njyvyIBr5Wp7K18m8/fbbJCUlMXXqVE1NGqR79+74+Pgwbtw4ix73559/plKlSvj4+Fj0uCIPopGv\n5enZzk5k2rRpbN68mZ07d5I5c2aj42RYJpOJefPmUblyZV588UXKlStnkePqFiMxika+lqeRr5PY\nuHEjo0aNYt26dWTPnt3oOBlekSJF+OSTTwgMDCQ5Odkix9T1XjFK7ty5iYmJIS4uzugoTkPl6wSO\nHDnC66+/zldffUWxYsWMjiP/CQ4OJl++fIwZM+aJj3Xq1CliY2Px8/OzQDKRR+Pi4kKhQoU0+rUg\nla+DCwsLw9/fn4kTJ1K7dm2j48gtTCYTc+bMYerUqRw4cOCJjqVbjMRomnq2LJWvA4uPj+fll18m\nKCiI//u//zM6jqSjYMGCjB8/nsDAQJKSkh77OJpyFqNp0ZVlqXwdVFpaGoGBgRQrVowRI0YYHUfu\no1OnThQtWpSPPvrosT4fHx/Pjh07eOGFFyycTOThaeRrWSpfBzV8+HAuXLjA/PnzNRVp50wmE7Nm\nzWL27Nns3bv3kT+/fft2ypcvr4V0YiiNfC1L5euAFi1axJdffsk333yDu7u70XHkIeTLl4+JEycS\nGBhIQkLCI31WU85iDzTytSyVr4PZvn07AwcOZN26deTOndvoOPIIOnbsSKlSpfjggw8e6XM3FluJ\nGEkjX8symc1ms9Eh5OH88ccf1K1blyVLluj6n4MKDw/Hz8+Pb775hho1ajxw/9OnT1OrVi0uXryI\ni4t+VhbjREVFkT9/fmJiYnSpywL0t9lBRERE4O/vz8iRI1W8DixPnjxMmTKFoKAg4uPjH7j/jVGv\nileMli1bNjJnzszVq1eNjuIU9DfaASQlJdG2bVv8/f3p3r270XHkCbVr144KFSowdOjQB+6r671i\nT/ReX8tR+do5s9lMz549yZYtm8Uf1C/GmTp1KsuWLWPHjh333CchIYHt27drpkPshhZdWY7K186N\nGzeO/fv388UXX+Dq6mp0HLGQXLlyMWPGDIKDg4mNjU13n19++YVy5cqRM2dOG6cTSZ8WXVmOyteO\nrV69mqlTp/Ldd9+RNWtWo+OIhb300kvUqFGD9957L93tWuUs9kYjX8tR+dqpvXv38sYbb/Dtt99S\nqFAho+OIlUyaNImvv/6an3/++a5tut4r9kYjX8tR+dpQbGwsc+fOpUn16pQvWpQyhQtT67nneG/g\nQM6ePXtzv/Pnz/Pyyy8zZ84cKlWqZGBisbacOXMya9YsOnfuTExMzM2vnzlzhoiICP3/L3ZFI1/L\nUfnaQGRkJP179aJInjx8178/vfbsYdGZM6z8+2/GHDtGwuTJVC5VilaNGrF9+3b8/f3p168fL7/8\nstHRxQZatmxJgwYNGDRo0M2vbdiwgaZNm+oWI7ErRYoUUflaiB6yYWXnz5+neb161Lx4kaFJSTx1\nj/3igCXAIFdXajRuzMaNG3UjewYSGRmJn58f8+fP5/nnn6dVq1YEBAQQEBBgdDSRmxITE/H29iY+\nPl4LQJ+QyteKIiIiqF2xIkEXLjA4NfWhPrMXaOnhwbJ162jUqJF1A4pd+eGHH+jevTt79+6lRIkS\nnD59Gl9fX6NjidwmX7587Nu3j4IFCxodxaFpTsuK+nXvzgthYQ9dvABVgBXx8XR8+WXi4uKsF07s\nTtOmTWnatClBQUGUKVNGxSt2SYuuLEPlayXh4eGsXbeOD9N5gfpUrpesOxCczmcbANXNZpYvX27V\njGJ/PvvsM3bs2EGJEiWMjiKSLi26sgyVr5XMmz2btiYTOdLZVhAYBnS+z+d7xcQwbexYdFUgY/H2\n9iZHjhxs2rSJyMhIo+OI3EUjX8tQ+VrJklmz6H6P97a2Bl4C7jep2BS4cvEix44ds0I6sVfnzp0j\nNjaWtm3b0q9fP6PjiNxFI1/LUPlayd///EOpB+xzvzGtC/BMpkxcuHDBgqnE3t24xWjcuHH88ssv\nfPfdd0ZHErmNRr6WofK1kvjkZDwesM+DbiTygId67Zw4jxtPtcqaNSsLFiygR48eREREGB1L5CaN\nfC1D5Wsl2T09edBbLx90NfcakD17dgslEntjNpu5cuUKJ0+e5K+//uLff//lp59+okmTJgDUq1eP\ndu3a0bdvX4OTivyPHrRhGSpfK6ns58fmB+xzv5FvBHA4MZHnnnvOgqnEHkRFRTFt6lTKPv00zxQq\nRIvKlWlYrhyF8+bFKy2NPXv2kPrf7WmjR48mJCSENWvWGJxa5Lq8efMSGRlJwj3WtMjDUflaSc9B\ng5ju7Z3utlQgAUj5758T//vfWy10ceHFli3JlSuXVXOK7ZjNZj4dM4an8uXj58GDmXruHBGJiZyK\nieFMbCz/pqYyOiaGDzp2pESBAmzfvh1PT08WLlxI7969uXLlitHfggguLi4UKFCAv//+2+goDk3l\nayUtW7bkbzc39qez7SPAE/gEWMr1a7sf37I9FZjh4UGvd96xflCxCbPZTJ9u3fhy1CgOxsezKi6O\nhtw+++EBBAG/xcQwPTycV5o145s1a6hduzavvvoqvXv3NiS7yJ206OrJqXytJFOmTAz96CM6eXpy\n592aHwBpd/wa/t82MzDAzY2i5ctTvXp1m+UV6xo1YgS7ly1je1zcPZ/vfavmwMb4eLq/9hq7du1i\n5MiRhIaGsnLlSmtHFXkgLbp6cipfK+resydNAgN5wdOTsIfYPw14x82NrYUKsXL9er1YwUlcuHCB\nCePGsS4ujvQvRKSvEjAlLo5+Xbrg4eHBwoUL6du3L5cvX7ZWVJGHopHvk1P5WtmEadPw79+fCh4e\njHB1Jb2rJAnAYqB61qzsLVeO7Xv3apWzE5kzYwYBQL50tjXg+nSz93+/St+x/RXg8tmz7N27l+rV\nqxMcHEzPnj315DMxlEa+T07la2Umk4kRo0axZc8ergQGUs7Dg5be3vR2d6efmxuveXlR2N2dZbVr\nM/zLL9kaEkKOHOk9lFIcUXJyMrOnTaNnYmK6203ANCD6v1+/37HdFeiRkMCMCRMA+OCDDzh58iTL\nli2zXmiRB9DtRk9OrxS0sejoaDZs2EB4eDjJycnkyJGDOnXq6EH6Tmrv3r0EN2rE4ejodLc3BF4D\nutznGOeAqt7eXI6KAmDfvn20aNGCgwcPkj9/fktHFnmg0NBQAgICOHr0qNFRHJbKV8SKfvjhBz7r\n0IFN166lu70hcITrt52VAEZx/bnet0oCvFxcSEpJubkOYPjw4Rw8eJBvv/1WawPE5q5evUqRIkWI\niorSn7/HpGlnESu730+344HzwL/A20Bb4MRDfH7o0KGcPXuWxYsXWyakyCO4sSbl2j1+qJQHU/mK\nWJGvry9haWn33F6Z6+91dgE6Ao2AO1+lEAb4Zs162wjDzc2NRYsWMXDgQD3sQGzOZDJp0dUTUvmK\nWFGFChW4mikToQ+5v5m7R7pfurry4osvpnvsPn360K1bN61+FpvT7UZPRuUrYkWZMmWi+5tvMsPd\n/a5t14CtQDLX7/H+CvgRaHnLPqnAzCxZ6DlgQLrHHzJkCOHh4cyfP9/S0UXuSyPfJ6PyFbGyrj16\nsBy4eMfXk4FBgC/gA4wFVgFlbtlnJVCgaFEqVaqU7rEzZ87MokWLGDJkCGfPnrV4dpF70cj3yah8\nRaysQIECDHz3Xfy9vLh1eUouYC8QxfV7fPdy+6j3N6CvpycT58277/HLli3LgAED6NKli6afxWY0\n8n0yKl8RG3h32DDqvvYa9by8+OsB+5qBdVxffPVG//4P9YzvgQMHEh0dzaxZsyyQVuTB9KCNJ6Py\nFbEBk8nExBkzCBoxgiqenrT28mIz16/13hALzAUqe3vTL39+Js6dy6xZs9i1a9cDj58pUyYWLlzI\nsGHD+OuvB9W7yJMrXLiwpp2fgB6yIWJjMTExfPnFF0z75BP+PHcOb5MJFzc3riYl0aR+fXoNGsTz\nzz+Pi4sLGzZsIDg4mO3bt/Pss88+8Njjx49n3bp1bN26FRcX/Wwt1hMfH0/27NmJj4/Xn7XHoPIV\nMYjZbGbgwIGkpKTw9ttv4+vri6en5137zZ8/n1GjRrFz507y5Uvv9Qz/k5qaSr169ejYsSN9+vSx\nVnQRAPLkycOhQ4f0mNPHoB9XRAxiMpm4du0apUuXpnDhwukWL0Dnzp0JDAzE39+fmJiY+x7T1dWV\nBQsW8OGHH3Lq1ClrxBa5SYuuHp/KV8RAly9fJm/evA/cb/jw4VSsWJF27dqRnJx8332fffZZhg0b\nRlBQEKmpqZaKKnIX3W70+FS+IgZ62PI1mUzMmDEDFxcX3njjjQfeUtSnTx9cXFyYNGmSpaKK3EUj\n38en8hUx0MOWL1xf0bxixQoOHz7MBx98cN99XVxcWLBgAaNHj+b48eMWSCpyN91u9PhUviIGMZvN\nj1S+AFmzZmX9+vV88cUXzJkz5777Fi9enJEjR2r6WaxGtxs9PpWviEGioqLIlCkTXl5ej/S5PHny\nsHHjRoYPH866devuu2+PHj3w8vLis88+e5KoIunStPPjU/mKGORRR723KlGiBN988w3BwcHs2bPn\nnvu5uLgwb948Pv30U44ePfq4UUXSpQVXj0/lK2KQJylfgOrVq7NgwQJeeuml+95W9PTTT/Pxxx8T\nGBj4wJXSIo8if/78/PvvvyQmJhodxeGofEUM8qTlC+Dv78+HH35Is2bNCA8Pv+d+3bp1w9fXl3Hj\nxj3R+URu5erqSv78+blw4YLRURyOylfEIJcvX37gE6seRvfu3QkICMDf35/Y2Nh09zGZTMydO5eJ\nEycSGhr6xOcUuUHXfR+PylfEIGFhYU888r1h5MiRPPfcc3To0IGUlJR09ylcuDDjxo0jMDCQpKQk\ni5xXRNd9H4/KV8Qglph2vsFkMjF79mxSUlLo1avXPR/CERQURIECBRg9erRFziuike/jUfmKGMSS\n5QuQOXNmVq1axb59+/joo4/S3cdkMjFnzhymT5/O/v37LXZuybhUvo9H5StiEEuXL4C3tzfr169n\n4cKFzJ8/P919ChQowIQJEwgKCtIqVXlimnZ+PCpfEYNYasHVnfLly8eGDRt477332LBhQ7r7vPrq\nqxQrVoyRI0da/PySsWjk+3j0Pl8RA5jNZjw9Pbly5cojP+HqYe3atYtWrVqxYcMGqlSpctf2sLAw\nypcvz7p166hatapVMojz+/fffylevDiRkZFGR3EoGvmKGCA6OhpXV1erFS9AzZo1mTNnDq1ateL0\n6dN3bc+XLx+TJ08mMDCQhIQEq+UQ55YzZ06SkpKIiooyOopDUfmKGMAa13vT8/LLLzN06FCaNWvG\nlStX7trevn17nnvuOUaMGGH1LOKcrl69Sq5cuVi8eDE//PADhw8ffuArL0XlK2IIW5UvQK9evWjb\nti0vvvgicXFxt20zmUxMnz6dxYsXs2vXLpvkEeewZ88egjp0oFjBgvhevMj6wYMZ36EDrWrWpELx\n4syaOZOYmBijY9otla+IAay12OpeRo8eTYkSJQgICLjrIRy5c+dm6tSpBAUF3VXOIneKjo7mxUaN\n6NCwIWW++oo/EhI4kJrKhrg4Nl+7xp+xsYz/6y82vvMOT/+3+E/upvIVMYAln271MEwmE/PmzSMu\nLo4+ffrcNS3Ytm1bKleuzNChQ22WSRxPVFQUDapVo8CuXfwRF8egtDRy37GPC/ACsCY2lrWxsQS3\nbcvKFSsMSGvfVL4iBrDltPMNbm5ufP311+zatYsxY8bctX3KlCksX76cX375xaa5xDGkpaXRrmVL\nqv/1FzMTEsj0EJ+pBWyKj+fN4GBd1riDylfEAEaUL0C2bNn4/vvvmT17NosXL75tm6+vLzNmzCA4\nOPieL2iQjGvr1q1cPHiQyYmJmB7hc37A+Ph4hvfvb61oDknlK2IAo8oXrj/hasOGDQwcOJBNmzbd\ntu2ll16iVq1aDBkyxJBsYr+mf/opb8bE3HPEuxwoA3gDRYFb5086AIdDQzlx4oSVUzoOla+IAWy9\n4OpOpUuX5uuvv+a1117jwIEDt22bNGkSa9as4aeffjIondibv//+m5+3b+fVe2xfC7wPrACigT1A\niVu2ZwG6JCczY9Ik6wZ1ICpfEQPYesFVeurUqcOMGTPw9/fnzJkzN7+eI0cOZs+eTefOnYmOjjYu\noNiNX3/9lQaZM5P1Hts/AD4Cyv33+9xA/jv2eTklhW0//GClhI5H5StiY2az2dBp51u1bduWwYMH\n07x5cyIiIm5+vUWLFjRq1IhBgwYZmE7sRWRkJL73eE90DHAIOAM8C+QBugLxd+znC1zVU7BuUvmK\n2FhMTAwmk4msWe81jrCtvn374u/vT6tWrYiP/99/MidMmMD69evZvHmzgenEHmTOnJkUU/rLrK4C\nZuBbYDfwB3ASGHbHfsmAW6aHWSOdMah8RWzMXka9t/rkk08oXLgwr776KqmpqQD4+Pgwd+5cunbt\nyrVr1wxOKLYWFxfHjh07GD9+PPPnz+dw/J1j2etu/Aj5JpAT8AH6Ad/fsd9ZIE/uO+8KzrhUviI2\nZvRiq/S4uLiwcOFCIiMj6dev382HcDRp0oTmzZvz9ttvG5xQrMlsNnPy5EmWLFlC7969qVy5Mrly\n5aJ///6cPXuWzp0785e7O3+m89kcQKGHOMd8T086dO1q4eSOS68UFLGxr7/+mqVLl7JmzRqjo9wl\nMjKSevXq8dprr9283hsdHY2fnx/Tp0+nefPmBicUS7h69Sp79uxh9+7dhISEEBISQtasWalevTo1\natSgRo0aVKxYEQ8Pj5ufeadvX1xmzmRccvJdxxsB/ABs5PqIrhVQDRj33/YwoLS7O2fCwvDx8bH2\nt+cQNAEvYmP2OO18Q/bs2fn++++pXbs2hQoV4v/+7//w9vZm3rx5BAYGEhoaSo4cOYyOKY8gJSWF\nw4cPExISwu7du9m9ezcXLlygcuXK1KhRg27dujF37lwKFChw3+P06NuXGnPm0Dc5+a6R7jDgClD8\nv9+34/rq5xvGZM5M+/btVby30MhXxMZuvL7vww8/NDjJvR09epRGjRrx5Zdf0rhxYwDefPNNoqOj\nWbRokcHp5H4uXrx4c0S7e/du9u3bR+HChW+OaKtXr07ZsmXJ9BiLnz4dM4Ylo0axNS6OXA/5mcku\nLkwrUIBfDxwgV66H/ZTzU/mK2FiPHj3w8/OjV69eRke5r23bttGuXTu2bNmCn58fsbGxlC9fngkT\nJtCqVSuj4wkQHx/P/v37b45oQ0JCiI2NvVmyNWrUoFq1amTPnt0i5zObzQwdNIhV06ezNC6OavfZ\n9xrwcebMrMmdm007dlC0aFGLZHAWKl8RG2vdujWdOnWiTZs2Rkd5oBUrVvDOO+/w66+/UqRIEX75\n5Rc6duxIaGgovr6+RsfLUMxmM6dOnbptVHvs2DHKlClz26i2RIkSmO5xW5ClLFqwgA8GDyZ3QgK9\noqNpxvWFVwnAKWC2uzsrzWaaNWnC5HnzyK1VzndR+YrYWM2aNRk/fjy1a9c2OspDmTBhAvPmzWPH\njh3kyJGD/v37c/nyZb788kujozm1yMjIm4uibhSul5fXbaPaSpUq3bYoypZSU1PZuHEj08eNY8/+\n/UTGxeGeOTMFfH15rWtXuvXsaXer+u2JylfExooVK8amTZsoUaLEg3e2E/3792ffvn1s2rSJtLQ0\nKlasyOjRo2nbtq3R0ZxCSkoKR44cuW1U+/fff1OpUqXbRrUPWhQljkPlK2JjXl5ehIWF4e3tbXSU\nh5aWlkbHjh0BWL58OSEhIbRp04bQ0FBNKT6Gixcv3izZkJAQ9u3bR6FChW4b1T7uoihxDCpfERuK\niYkhT548xMbGWv26nKUlJCTQtGlTKlWqxOeff86gQYM4c+YMK1euNDqaXbuxKOrWW31iY2Nvu6e2\natWquoUrg1H5itjQn3/+yQsvvMDp06eNjvJYrl69Sp06dejSpQu9evWiYsWKfPDBB3To0MHoaHbB\nbDbz559/3nad9ujRozcXRd0oXFssihL7pjkNERuyh1cJPokcOXKwceNGatWqRcGCBVm0aBEvvvgi\n9evXz5CLa24sirp1CtnT0/NmyQYEBBi6KErsl0a+Ija0evVqFi9ezDfffGN0lCcSGhrK888/z8qV\nK9m8eTNHjx5lzZo1Tj2aS0lJ4ejRo7eNas+dO3fzSVHVq1enevXqFCxY0Oio4gA08hWxIXt+tOSj\n8PPzY/ny5bRv356NGzeydu1avvzyS1599VWjo1nMpUuXbrtOe2NR1I1R7VtvvaVFUfLY9KdGxIac\npXwBGjVqxMSJE3n55ZeZNWsWgYGBNGzY0CFvh0lISLj5pKgbhRsdHX1zQdS7775LtWrVtChKLEbT\nziI21LNnT8qWLUvv3r2NjmIx48aNY8mSJbRo0YKjR4/y3XffERkZycL581n7xRdc+fdfAHLmyEGL\n9u3p3K2bobcnmc1mTp8+fXNEe+NJUaVKlbrtntpnnnnGqafRxVgqXxEbat26Na+99ppTPZzCbDbT\nt29fQkND+eeff8ibLRsHDx3C38WFV+PiyA+YuP5aueUeHqwxm/Fv0YIPP/2UYsWKWT3ftWvX7loU\n5e7ufteTojw9Pa2eReQGla+IDdWqVYtx48ZRp04do6NYVGpqKk2aNGHfL7/wRnIy7wD3GttGANNd\nXJjm7c23mzZRrdr9Hs//6DnuXBR19uzZu54UpUVRYjSVr4gNFS9enI0bN/LMM88YHcWiTp8+TZ1K\nlfjs2jUCHvIz3wFdvb35OSSE0qVLP9Z5w8LCbrtOu3fvXgoWLHjXk6IyZ878WMcXsRaVr4gNZc2a\nlYsXL5ItWzajo1hU7fLl6XDkCH3T0h7pcwtMJj4vWpRDp0498PpqQkICBw4cuG1UGxUVdduTorQo\nShyFylfERmJiYsidOzdxcXFOtZBn//79tK5bl9NxcbjeY58/gHJAO2DJLV83A89lzcrM9eupV6/e\n/77+36KoW2/1OXr06M1FUTcKV4uixFHpViMRG7l8+TL58uVzurKYMWECPRIT71m8AL2BalxfeHUr\nE9ArNpZJY8aQlJR02xSyu7v7zZJt3769FkWJU1H5itiIM93je0NycjLLv/qKP1NT77nPcq6/aL0M\n11+0fqdOZjPvbNzIpWvXqFOnDkFBQcyYMYNChQpZKbWI8VS+IjbijOV79epVsphM5LnH9ihgBPAT\nMPse+/gA+b28WLJkCcWLF7dGTBG742J0AJGMwhnLNyEhAQ/Xe084DwO6AgW4e8r5Vh4uLsTHx1s4\nnYj90shXxEacsXx9fHyITErCzN3lehD4ETjw3+/vt7LzWmoq2bNnt0ZEEbuk8hWxkbCwMMqWLWt0\nDIvKli0beX19CQkLo8Yd27YBZ4Ai//0+BkgFfgf23rLfEcDs5pYhX0koGZemnUVsxBlHviaTiZ4D\nBjA9nffVdgdOA4e4PgruAbQEfrhjvxlZstC9d2+9HUgyFJWviI04Y/kCBHXuzHdmM+F3fN0DyPPf\nr7xA1v++5nvLPlHAMpOJbj172iSriL1Q+YrYiLOWr6+vL926d+dVT0+S7rPfCGDxLb9PBTp5eNC+\nfXs9a1kyHD3hSsRGvL29+fvvv/Hx8TE6isWlpqbStnlzErdt46ukJLwesH8CEOjhQUSFCqz/+Wfc\n3NxsEVPEbmjkK2IDsbGxpKSkON0znW9wdXVl8IcfsstkopyHB5+bTFxNZ79rwFSTiQpeXvD883y3\ndauKVzIkrXAQsYEbU87O9mjJG65cuUJAQAALli0jT548zPjsM0Zu2EDjTJkokJyMyWwmzM2NTcnJ\nvN0qhnwAAA0gSURBVNC4MTMHDqR+/fpO++9D5EFUviI24KzXe+H6lPOrr75Khw4daN26NQC1a9cm\nPDycTZs2ceXKFcxmM5V9ffn8+ecpUKCAwYlFjKfyFbEBZy7fkSNHkpSUxMcff3zb1/PkycNrr71m\nUCoR+6byFbEBZy3f77//nnnz5rFv3z7dpyvyCPS3RcQGwsLCnO4JTmfOnCE4OJjVq1c75Q8WItak\n1c4iNuBsI9+EhAReeeUV3n33XWrXrm10HBGHo/IVsQFnK9++fftSvHhx3nrrLaOjiDgkTTuL2IAz\nle+CBQv45Zdf2LNnj24VEnlMKl8RG3CW8j148CCDBw9m27ZteHt7Gx1HxGFp2lnEBpxhwdXVq1dp\n27YtU6ZMoXTp0kbHEXFoeraziJXFxcWRM2dO4uPjHXaaNi0tjZdeeonixYszceJEo+OIODxNO4tY\nmTM8WnLs2LFERETw9ddfGx1FxCmofEWszNGv927ZsoWpU6fy22+/6SUIIhai8hWxMkcu3/Pnz9Op\nUye+/PJLvXNXxIK04ErEyhx1sVVSUhLt2rWjX79+NGzY0Og4Ik5F5StiZY468n377bfJnz8/gwYN\nMjqKiNPRtLOIlV2+fJlSpUoZHeORfPHFF2zcuJG9e/c69EIxEXulka+IlTnayPfIkSP069ePr7/+\nGh8fH6PjiDglla+IlTlS+UZFRdG2bVsmTJiAn5+f0XFEnJbKV8TKHGXBldlsJjg4mEaNGtGpUyej\n44g4NV3zFbEyRxn5TpgwgfPnz/Pll18aHUXE6enxkiJWFB8fT44cOez+0ZLbt2+nffv27NmzhyJF\nihgdR8TpadpZxIouX75Mnjx57Lp4L126REBAAIsWLVLxitiIylfEiux9yjk5OZn27dvzxhtv0LRp\nU6PjiGQYKl8RK7L3xVZDhgzB29uboUOHGh1FJEPRgisRK7Lnke9XX33F6tWr2bdvHy4u+jlcxJZU\nviJWZK/le+LECXr27MnGjRvJmTOn0XFEMhz9uCtiRfZYvjExMbRp04YxY8ZQuXJlo+OIZEgqXxEr\nsrfyNZvNdO/enerVq9OlSxej44hkWJp2FrEie1twNW3aNH7//Xd27txp17c/iTg7la+IFdnTyHfX\nrl189NFH7Nq1Cw8PD6PjiGRomnYWsSJ7Kd/w8HDat2/P3LlzKVasmNFxRDI8PV5SxEoSEhLw8fEh\nISHB0Cne1NRUmjRpQo0aNfj4448NyyEi/6ORr4iV2MujJYcNG4bJZGLkyJGG5hCR/9E1XxEruXz5\nsuGLrdauXcvSpUvZt28frq6uhmYRkf9R+YpYSVhYmKHXe//880+6du3K2rVr/7+9+4uxss7vOP6B\nMSPgAlIFNMumE0uWbWjVNP5LjKwX9oJNWNPOrFgkkYQFw5gYaYiEWkOtXBBNo1yABLaJRBs2i7C7\n2Q1rQLNsaBFxSJddzNYmVlPdhj9VRGCcGWbm9IJkQxHXM/I8vzm0r9flOc85z/dm8j7P7/mdM5k6\ndeqozQF8lmVnqMlobrbq7e1NZ2dnVq9enTvuuGNUZgA+n/hCTUYrvo1GI93d3Zk9e3a6u7uLnx/4\nYpadoSZHjx7NzJkzi5938+bN6enpyRtvvDHqm72Ai3PlCzUZjQ1XPT09efzxx7N9+/ZcddVVRc8N\nNE98oSalN1x9+OGH6erqysaNGzNr1qxi5wVGTnyhJiXv+Q4NDWXhwoXp6upKZ2dnkXMCX574Qk1K\nxnfNmjXp7e3N2rVri5wPuDQ2XEEN+vr60tvbmylTptR+rldeeSWbNm1KT09PrrjCnzRcDvylQg2O\nHTuW6dOn177b+L333suiRYuybdu2XH/99bWeC6iOZWeoQYnNVn19fenq6spjjz2Wu+66q9ZzAdUS\nX6hBifu9jz76aDo6OrJ8+fJazwNUz7Iz1KDu+G7ZsiV79uzJgQMH/JAGXIbEF2pQZ3wPHTqUFStW\nZM+ePZk0aVIt5wDqZdkZalDXr1t9/PHH6ezszLp16zJ79uzK3x8oQ3yhBnVsuBoeHs6DDz6YuXPn\nZsGCBZW+N1CWZWeoQR3Lzk8//XSOHTuWbdu2Vfq+QHniCzWoOr6vvfZa1q1blzfffDPt7e2VvS8w\nOiw7Qw2qjO8HH3yQhQsX5qWXXsqMGTMqeU9gdI1pNBqN0R4C/i/p7+/PxIkT09fXl7FjL+3z7cDA\nQO6+++7Mmzcvq1atqmhCYLS58oWKHT16NNOmTbvk8CbJihUrcu2112blypUVTAa0Cvd8oWJVLTlv\n3bo1O3fuTE9PTyUhB1qH+ELFqojvW2+9lUceeSS7d+/O1VdfXdFkQKvwcRoqdqnx/eSTT9LZ2Zln\nnnkmN998c4WTAa1CfKFil/LrVo1GI4sXL86cOXOyaNGiagcDWoZlZ6jYkSNHcsMNN3yp1z733HN5\n99138+KLL1Y8FdBKXPlCxb7ssvPevXuzdu3avPzyyxk3blwNkwGtQnyhYl8mvkeOHMn999+fF154\nIR0dHfUMBrQM8YWKjTS+g4ODmT9/fpYsWZK5c+fWOBnQKsQXKjbSDVerVq3K+PHj88QTT9Q4FdBK\nbLiCCvX39+f06dOZMmVKU8fv2LEj27Zty8GDB9PW1lbzdECrEF+o0LFjxzJ16tSmfpHq7bffzkMP\nPZSdO3fmmmuuKTAd0CosO0OFmr3fe+bMmXR2dmbNmjW59dZbC0wGtBLxhQo1E99Go5GlS5fmlltu\nydKlSwtNBrQSy85QoWY2W23YsCGHDx/O66+/njFjxhSaDGgl4gsVOnLkyO+98t2/f3+efPLJ7Nu3\nLxMmTCg4GdBKLDtDhX7fsvPx48dz3333ZfPmzZk5c2bhyYBWIr5Qoc+L79DQUBYsWJAHHngg9957\n7yhMBrQSy85wiU6dOpX9+/fnxIkTOXz4cG677bYMDAykvb39d8esXr06Q0NDeeqpp0ZxUqBVjGk0\nGo3RHgIuR4cPH87zzz6brVu35k/b2zNteDgnz5zJRxMm5LdtbfnusmVZ2t2dQ4cOZdmyZTl48GCm\nTZs22mMDLUB8YYTOnj2bhxcvzk9ffjlLz57NksHBfPWCY36TZOOVV+bFJENtbdm5a1fuvPPOUZgW\naEXu+cIIDA4Oputb38pvt2/Pv3/6af7uIuFNkj9Osq6/P7/q789XBwfz4x/8oPSoQAsTXxiBv+7u\nTv++fflRb2++0sTxM5L8y8BAfvK972Xj+vV1jwdcJiw7Q5Pef//93Pz1r+c/+voyeYSvPZzknkmT\n8p/Hj/+vjVjA/0+ufKFJm9avz8Lh4YuGd0GS65J8JcnXkjyR5PxPtX+SZHajkR07dtQ/KNDyXPlC\nEwYGBvKH06bl5ydP5hsXef43Sf4oSXuSt5N8M8nmJPPOO2Z7kuduuil7f/nL2ucFWpsrX2jCO++8\nk4nDwxcNb3Jug9X5i8lXJJ/ZiDUvyeu//nWGh4frGBG4jIgvNOHEiRP5gy/4H73dSa5KMjvJ3yb5\nswueb08yrq0tp0+frmVG4PIhvtCE9vb2DHzBMRuSnEnyiySrkxy44PlGkoGhIRuuAPGFZlx33XV5\nv78/Z5s49s4k9yXZesHj/5VkfHt7xo0bV/l8wOVFfKEJM2bMyDdmzcpPmjx+MMmF/6n3H9va8lfz\n51c8GXA5El9oUvfKldkwceJnHj+e5IdJ+nNuafnnSb6f5C/OO+Zskk1XXplly5cXmBRodb5qBE3q\n7+9Px/Tp+f7Jk/nmeY//d86F9ldJhpPckORvkpx/jfv8mDH5pxtvzD/7mhEQ8YURefXVV/PAt7+d\nXZ9+mpuafM1Pk3x30qT84sCBzJo1q87xgMuEZWcYgXvuuSfrt2zJn48fn605d2/38/Qm+YexY7Nk\n8uT8eNcu4QV+R3xhhLq+8538cPfurL/xxnSMH5+/b2vLvyX5KOfu//5rkuXt7fnauHHZM2dO9vb0\n5Pbbbx/doYGWYtkZLsGhQ4fy/LPPZvfPfpaPTp1K29ixuXby5PzlggVZ+vDD6ejoGO0RgRYkvgBQ\nmGVnAChMfAGgMPEFgMLEFwAKE18AKEx8AaAw8QWAwsQXAAoTXwAoTHwBoDDxBYDCxBcAChNfAChM\nfAGgMPEFgMLEFwAKE18AKEx8AaAw8QWAwsQXAAoTXwAoTHwBoDDxBYDCxBcAChNfAChMfAGgMPEF\ngMLEFwAKE18AKEx8AaAw8QWAwsQXAAoTXwAoTHwBoDDxBYDCxBcAChNfAChMfAGgMPEFgMLEFwAK\nE18AKEx8AaAw8QWAwsQXAAoTXwAoTHwBoDDxBYDCxBcAChNfAChMfAGgMPEFgMLEFwAKE18AKEx8\nAaAw8QWAwsQXAAoTXwAoTHwBoDDxBYDCxBcAChNfAChMfAGgMPEFgMLEFwAKE18AKEx8AaAw8QWA\nwsQXAAoTXwAoTHwBoDDxBYDCxBcAChNfAChMfAGgMPEFgMLEFwAKE18AKEx8AaAw8QWAwsQXAAoT\nXwAo7H8AS7tb12MOcXoAAAAASUVORK5CYII=\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x482b690>" | |
] | |
} | |
], | |
"prompt_number": 55 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"nx.draw(tet)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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ncePGDeTl5aF06dKoXbs2KlSooKbERJqB5Utqd+jQIfTo0QMKhQLm5uai47zV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\n6MIuQOgAAAAASUVORK5CYII=\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x4431b90>" | |
] | |
} | |
], | |
"prompt_number": 56 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Constructive generator for classic graphs" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"K_5 = nx.complete_graph(5)\n", | |
"K_3_5 = nx.complete_bipartite_graph(3,5)\n", | |
"nx.draw(K_3_5)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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QZdFVrVqVJUuWsGfPHgIDA2ncuDG7d+8uUl/Hjx+nTJkyNG7cON+2Dx484OHD\nh1hbWxfpWEUl132F0AwJX6F233//Pebm5gwfPlxt1wt9fX3Zu3cvH3/8scbXBi6Ixo0bs3//fqZP\nn87o0aPp2LEjkZGRheqjMEPOERER1K9fP8+lBjXB09OTgwcP6nwGMCFeNhK+Qu309fVZs2YNp0+f\nZubMmWrrt0mTJlpbG7ggVCoVnTp1IiIiAk9PTzw8PBgzZgz37t3Ld9+SPuScoXr16lSvXp1Tp05p\n/dhCvMwkfIVGmJmZsX37dhYtWsSGDRvU1m/16tU5fPgwycnJtG3btkRMAmFoaMjYsWM5f/48KSkp\n2NvbM2/evDznqz527BjGxsY0bNiwQMfQVfiCDD0LoQkSvkJjrKys2LZtGyNHjuTo0aNq69fY2Jh1\n69bRrl07ra0NXBCWlpYsXLiQAwcOEBQURMOGDdm5c2eOQ+QbNmwo8JAz6D589+7dq5NjC/HSUoTQ\nsO3btyvVq1dXLl++rPa+f/31V8XS0lLZsWOH2vsujrS0NCUoKEixs7NT3n77beXcuXNZttWqVUs5\ne/ZsgfuqVKmScuPGDU2Vm6dHjx4ppqamSnx8vE6OL8TLSM58hcZ5e3vz6aef0rFjRx4+fKjWvvv2\n7cvWrVt57733mDt3rs5vxMqgUqno2LEjZ8+epUOHDrRp04ZRo0Zx584dwsPDMTMzo379+gXqK2No\nvWrVqposOVfm5uY0adJELROoCCHSSfgKrfjwww9p27Yt3bt3V/vava6uroSGhrJs2TKtrg1cEGXK\nlOHDDz8kMjISAwMDHBwc+PTTT+nWrVuhh5wL2l4T5LqvEOol4Su05ocffsDAwIDRo0er/QzVxsaG\nI0eOcPXqVd555x21TPKhThUrVmTu3LkcOnSI8PBwVq9ezbZt2wr056DL670ZJHyFUC8JX6E1BgYG\nrF+/nqNHjzJr1iy195+xNnDDhg1xdXVV+zzM6vDw4UNsbW1ZsmQJEydOpF27dpw5cybPfUpC+Do7\nO/P3339z584dndYhxMtCwldolbm5OUFBQcyZM4fNmzervf+MtYH9/f1xd3fn0KFDaj9GcWQ82/v2\n22/z119/0bVrV9q1a8f777+f62NTJSF8y5Qpg4eHBwcPHtRpHUK8LCR8hdbVqlWLrVu3MmzYMI4f\nP66RY7z//vusWbOGHj16sHz5co0co7DS0tLYsGED3bt3B9JHAkaOHElkZCSmpqbUq1eP7777jsTE\nxMx9FEWMjfndAAAgAElEQVTJnN1K12ToWQj1kfAVOtGsWTN++uknOnXqxNWrVzVyDC8vL4KDg5kx\nYwaffPKJzqdIDA0NpVKlSjg4OGR5v0KFCsyePZvQ0FBCQkKoV68emzZtQlEUrl69Srly5ahQoYKO\nqv5/ssiCEOqjUkrKsxnilTRr1ixWrlxJSEgI5cqV08gx7t69S7du3bCwsGDNmjWYmZlp5Dj5+fDD\nD6lSpQqff/55nu327duHv78/lSpVomvXruzcuZNdu3ZpqcrcKYpCjRo1OHLkCHXq1NF1OUKUanLm\nK3Rq7NixuLm50bNnz2Itz5eXjLWBLS0tdbY2cGpqKoGBgZlDznnx8vLi1KlT9O7dm88++4yYmBhu\n3ryphSrzplKp8PLyYv/+/bouRYhST8JX6JRKpWL+/PmkpaUxZswYjU2SYWhoyE8//US/fv1wcXHh\n2LFjGjlObo4cOUKVKlWws7MrUHsDAwPef/99OnToQK1atWjQoAHffPONzheTkOu+QqiHhK/QuTJl\nyhAQEMDhw4eZN2+exo6jUqkYN24cixcvxtvbW6trAxdmBaPnRUdHM2XKFMLDwzl+/Dj29vYEBATo\nbCYvT09P9u/fT1pamk6OL8TLQq75ihLjypUruLm5sWTJEnx8fDR6rL/++gtfX1/ee+89Pv/8c43O\nHpWamoqVlRXBwcHUrVu3wPulpKRQrlw54uLiMDU1BeDQoUP4+/tjamrKnDlzaN68uabKzpWDgwNr\n1qzB0dFR68cW4mUhZ76ixLCxsWHz5s0MHjxY4+vHNm7cmPDwcIKCgnj33Xc1OpwbHBxMjRo1ChW8\nAJcuXaJGjRqZwQvQunVrjh8/zqBBg/D19WXAgAHExMSou+Q8ydCzEMUn4StKFGdnZxYvXoyvry/X\nr1/X6LGqVavGoUOHSElJoW3btty6dUsjxynqkHNuk2vo6+szZMgQoqKisLKyolGjRkydOpWEhAR1\nlJsvCV8hik/CV5Q4fn5+jB49Gh8fH548eaLRY2VfG/js2bNq7T8lJYWNGzcW6C7n7PKb2crc3Jzp\n06dz4sQJzp07h729PevWrdP49eDWrVsTFham85u/hCjNJHxFiTR+/HiaNWtGnz59ND45hp6eHl99\n9RXTp0/H09OTHTt2qK3vP/74g5o1a2Jra1vofc+dO1egma1sbGxYv349a9asYdasWbi5uXH06NGi\nlFsgFhYWNGjQgNDQUI0dQ4iXnYSvKJFUKhWLFy8mPj6ecePGaeWYffr0YevWrQwdOpQ5c+ao5Qyy\nqEPOUPg5nT08PDh27BjDhw/Hz8+Pvn37auyZZhl6FqJ4JHxFiVWmTBkCAwPZvXs3Cxcu1MoxXV1d\nCQsLY/ny5YwYMaJYawOnpKSwadOmIg05P3v2jCtXrhT4ueAMenp6DBgwgMjISGxtbWnSpAn/+9//\niI+PL3QNeZHwFaJ4JHxFiVahQgV27NjBtGnT2Llzp1aOWbt2bUJDQ7l+/Xqx1gY+dOgQtWvXLtJU\njFFRUdSpUwdDQ8MiHdvMzIwpU6Zw6tQpLl68iL29PatXr1bb87kuLi5ERkaWuHWThSgtJHxFiVen\nTh02btzIwIED8137Vl3Mzc3ZunUrjRo1wsXFpUhrA2tzyDk31tbWrF27loCAABYuXIizszNHjhwp\ndr9ly5bF3d1dlhgUoogkfEWp4Obmxrx58/Dx8eHGjRtaOaa+vj6zZ89m3Lhxua4NnDG0/JarK5XN\nzCijr4+5kREONWuybs0a2rRpU6Rjq3sNX1dXV0JDQ/noo4/o1asXPXv25MqVK8XqU4aehSg6CV9R\navTq1YuhQ4fi4+Oj9muYeRk2bBhr166lZ8+eLFu2DEhf4WfxggXYVKnC7IEDGXj0KOfj44lPS+N6\nYiK/xMTg+/QpXu7u9PfzK/TwrLrDF9KvB/ft25fIyEjq1atHs2bN+Oyzz3j8+HGR+pPwFaLoZHpJ\nUaooisKgQYN4+PAhGzduRE9Pe98fo6Ki8Pb2xtfXl6RHjzi0di2rExJoksc+94AvDQ3ZV706e0JC\nqFmzZoGO9dprr7Fnz55Cz4pVGNevX2fSpEns37+fadOmMWDAgEL9eaalpVG9enWOHTtG7dq1NVan\nEC8jCV9R6iQlJfHWW2/h5OTEd999p9Vj3717F2dHR0xjYvgjNRWLAu73jb4+a62tCTl1CguLvPd6\n/PgxVatW5fHjx+jr6xe/6HwcO3YMf39/nj59yg8//MCbb75Z4H179+6deVd1QkICFhYWNG7cGBsb\nG80VLMRLwEDXBQhRWIaGhmzatAkXFxfq1q3LsGHDtHbsmJgYEuLiCC1E8AJ8mprKxZgYpnz+ObPm\nz8+z7fnz53FwcNBK8AK0aNGCkJAQAgIC6N+/P05OTnz77bd53qX94MEDVq1cyZHduzn6+DEXTEww\nTkvjob4+YYmJOLdowcjx42nfvr3WPocQpYoiRCkVHR2tVK1aVdm9e7fWjvn+gAHKFH19RYEsr/mg\nNAOlLCgDs23LeF0CpZKpqRIfH5/nMZYtW6b0799fS58oq4SEBGXatGlKpUqVlPHjxysPHz58oc2u\nXbuUymZmSi8TE+UPUNKyfc4EUH4Gpbm5udLM3l6JjY3VwScR2nDmzBllxKBBiqOtrWJbtapSr2ZN\npZ2zs7Jy5Url6dOnui6vRJPwFaXaH3/8oVhaWipnz57V+LEePHiglDcyUmJzCNZNoGwBZUQe4auA\n0sHMTFmxYkWex/noo4+Ub7/9VuOfJy+xsbHKoEGDlGrVqilLly5VUlJSFEVRlMANG5SqxsbKkTw+\nY8YrDZRpBgaKTZUqyvXr13X6eYR67d27V/Fo0kSxMjFRvjIwUMJBiQblDCgbQWlvZqZUNjNTJvj7\n5/tl81Ul4StKvdWrVys2NjbKzZs3NXqctWvXKj7m5nkGzuf5hG8gKG+7uuZ5HC8vL2Xnzp0a/SwF\ndeLECcXDw0Np1KiRsmjRIqWyiYlysgDB+/zrGwMDpfHrryvPnj3T9ccRavDjokVKdWNjJQCUpDz+\n3v8GpaeRkeLcoIESFxen67JLHHnUSJR67777LgMGDKBTp048ffpUY8e5ffs2NklJebbJ7+5FG+BG\nbCxxcXE8evSIxMTEF+aQ1sRjRkXl6OjI4cOHmTx5MpPHjuWrhASaFrKPCSkpVL55k8DAQI3UKLTn\n19Wrmf7xxwQ/fUp3oEwebW2Bdc+e4REVhXebNlpb8rK0kLudxUtBURTeffddkpKSWL9+vUYeQfr+\n+++JnTSJ2XnM9/wFcB34OZftZ4DWenroVahAYmIiiYmJJCcnY2hoSNmyZTE0NOTevXvY2NhQtmzZ\nHF8ZbQu7rbD7Pv9nePXqVZra2XH12TNMs32mJGAosB+4T/oXjK+Bzs+12Qp827AhR7Q0Q5lQv9jY\nWBq8/jrBT5+S/1pb/08B+hgZUXPYML6bO1dT5ZU6crezeCmoVCqWL1+Ol5cXn332Gd98843aj1Gh\nQgXOGhpCHuGb3zfZO0CDBg3446+/Mt9LS0sjKSmJxMREDh48yLRp01i/fn1mOGd/ZbTN7fXkyZMi\n7/v8dgMDg8wgTk1MpHcOwQuQAtQDZgLVgN8BP+Av4PX/2nQERkRGMnHiRGxtbYv8hcHAQH5k6cpP\nixfTMy0t1+D9DZgCXAMqA6sAD0AFfP3sGc4rVjBlxgyMjY21U3AJJ/+SxUvDyMiILVu2ZD6CNHjw\nYLX236pVKyalpZEIlM2ljSqfPrYYGtLqnXeyvKenp4eRkRFGRkbExMTQrFmzIq3/q06KopCcnJwZ\nxF3atKHLuXM5tjUBJjz33++QHsYn+P/wNQDeVhSOHDnC7du3C/Wl4PltgM5GAnLbXqZMGVSq/P7m\nS7fk5GSWLljArv/+DrLbBnwGbAEaAnGkfynLUAdoAaxfv56BAwdqtthSQsJXvFQqV67Mjh07aNWq\nFTY2NrRt21ZtfdetW5fGjRuz8ehR+mTblgokk/4DJxVIJP1/ruefcH0C/KpS8deoUbkeo6Rc71Wp\nVBgaGmJoaIi5uTnxCQlULOC+t4ALQPZPUSUlhTPx8ejp6WFmZoaFhQX6+vqFeqlUKhRFIS0t7YVf\nM16pqamZv2b8PiUlhdTUVJKSknj69CkpKSlZXsnJyZm/ZrySkpJISUkhKSkpyyvjC0HG79PS0l4I\nam2Efn7b1PmF4ODBg1inpdEwl+1fAlMhc7tlDm2GPXnC3AULJHz/I+ErXjp2dnasX7+enj17cvjw\nYezt7dXW98gJE5jRrx+9njzJMjH6VNKH3DL8SvoPpMnPvbcSeNPDg1q1auXa/7lz54q8EpImlTU0\nJO9bzdIlA32BfvDC8OQzfX1sbW1xcnLKDMa8XomJiQVqp+sXpC+wkTFakJCQgJ6eXpaXSqXK/PX5\nF5BrSCrpT6Nk/j7ji0b2LxvPf+nI+LKRlpaGnp5e5pcWAwMDDAwMMn9fpkyZF359/pXxxSvjde3a\nNaxzuWHqCemXGK4AbwAPAF9gPvD8APMbQKyWFkUpDeSGK/HS+uWXX5g6dSpHjx7F0jKn7+KFl5KS\nQpsWLXCJiOC7fO58ft4xoKOJCXtCQmjaNOf7hRVFoWLFikRHR6utXnXp4uVF1/376ZdHmzSgD+k/\njLeS9awfoLOZGd1//JG+fftqqkydeD74Ssor44z9+bP07K/nz/CfP/N//teM1507d2h/5w6rcoiL\na0BtwIn06/36gA/pw8zfP9fuMtC6UiX+vXNH838ppYCc+YqX1sCBA7l48SKdO3dm//79GBkZFbtP\nAwMDtu7bR6vmzUmOiWFWUtILIZPdAaCrvj6r1q3LNXgh/W5SQ0PDEhe8AL2HDWPRsWP0y2UFJAUY\nQvq1vowfwM+LBQ6nprLKx0ejdepCxtltmTJ5PXhTuq1YsYKg0aMhh0f5zP77dTRkXpr4CPicrOH7\nAChvbq7JMksVec5XvNSmTp1KrVq1GDRo0AvP0xZVxYoVCTl5kohmzbA3NWW2SsW9bG1SgR1ARzMz\n+pQrR017e44dO5ZnvyXlem9OOnfuTJSeHhG5bB8BRJF+441hDtuX6evTq2dPypUrp7EahfrcunWL\nwMBAxowZg6OjI6NHj+ZAYiI53W5VASjIWl279fRwcnNTc6Wll4SveKnp6enx888/c+XKFf73v/+p\nrd/y5cuz58gRVu3dy6kuXbA1MsLZ2BjPMmXwtLDgNRMTvrK3p/v8+Vy+eZMDBw6wZs0afv3111z7\nLMnha2hoyLBRo5hsZERatm3/AkuB06Q/amT+32vdf9tjgcWGhozw99davaLgFEXh77//5ueff2bw\n4MG88cYb2Nvb88svv1CjRg0WLFjA/fv3cWrRgo259DEIWEj62e0jYB7g/dz2VOBHIyNGjhun2Q9T\nmmh5Ri0hdOLWrVvKa6+9pqxcuVIj/cfFxSnvv/++0qVLF2XPnj3K+fPnX2hz9uxZxdLSUgkJCcmx\nj4EDBypLly7VSH3qkJCQoLg0aqSMK1PmhcUUcnvdAaWJiYny9Zdf6rp88Z+UlBTl5MmTyty5c5Xu\n3bsr1apVU6ysrJRevXopCxcuVM6cOaOkpqa+sN+mTZsUVzOzHP/uk0EZCUrF/17vg/Lsue1bQXGu\nV08Hn7bkkvAVr4yIiAjF0tJSOXTokEb6nzBhgvLNN9/k2Wbnzp1KtWrVlMuXL7+wrXnz5kpoaKhG\nalOXuLg4pUX9+kpfIyPlWj6LKgSD8oaJiTLB319JS0vTdemvrKdPnyqHDx9Wvv76a6V9+/aKhYWF\nYm9vrwwdOlRZtWqV8s8//xTo7yc5OVlxtLNTphkYFGpu739BsTI2Vnbs2KGFT1t6SPiKV8revXuV\nKlWqKFFRUWrve+jQocqPP/6Yb7u5c+cq9evXz7JcX2pqqmJiYpLjEn4lTXx8vDJm+HDFzMBA6VCm\njLLrvx+wcaBcBGUxKA1MTJS61asrK3/+WdflvnLu37+vBAUFKZ9++qnSsmVLxdTUVHFyclLGjh2r\nbNq0Sbl9+3aR+46NjVVeq1pVmWZgUKDRjyhQbE1MlB++/16Nn/DlII8aiVfOsmXL+PbbbwkLC6NS\npUpq69fPz4+ePXvSvXv3PNspisLIkSP5999/2bZtGwYGBly6dIm2bdvy77//qq0eTUpMTKRWrVqM\nHjWK3wMCuH7jBgmJiViYmmJqakrjli1ZtWqVRubYFlnFxsYSHByc+frnn39o0aIF7u7ueHh44OLi\ngpmZWf4dFeJ43m3bYhITw+gnT+jKizfZRZJ+nf9XfX1mzpnDe8OGqe34LwsJX/FKmjBhAmFhYezd\nu5eyZXObLLJwPD09mTRpEp6envm2TU5O5p133qFBgwbMmTOHrVu3snTpUnbs2KGWWjRt1apVrF27\nll27dr2wLSQkhNGjR3P69GkdVPZyUxSF6OjoLGH78OHDzKD18PDA0dFR4489JScns23bNhbOmMH5\niAja6utTITmZZ/r6XNTXJwp4b/hwho0aRe3atTVaS2kl4SteSWlpaXTv3h0TExNWrVqllqn4mjZt\nyooVK/J8lvd59+/fx9XVFX9/f+7cucOjR4+YOXNmsevQNEVRcHJy4quvvqJjx44vbE9NTaVatWqc\nOHECa2trHVT48khJSeH06dOZQRsSEoKxsXFm0Hp4eGBvb6/TEYYLFy5w/PhxHjx4gJGRETVq1MDL\ny0ttX2pfVhK+4pWVkJBA69at8fb2ZvLkyfnvkI/atWtz+PBhbGxsCrzP33//jbu7Ow4ODgwePJh+\n/fKaQ6pkCAsLo1+/fkRHR+f6Q3/gwIE4OTkxKo95rMWLEhISCA8Pzwzao0ePYm1tnRm07u7u8oXm\nJSHhK15pN2/exMXFhenTp9OnT/blEgrH3NycmJiYQk8kcejQIby8vNiwYQNdunQpVg3a0Lt3b5yd\nnfnoo49ybbNx40aWLl3K7t27tVhZ6XPv3j1CQkIICQkhODiYM2fO0KhRo8ygbdmypVrvSxAlh4Sv\neOWdPXsWT09PNm/eTMuWLYvUR3JyMiYmJiQlJRV6CDspKQlTU1Nq165NeHh4if5hGxsbS4MGDbh8\n+TIWFha5tnv8+DFWVlZcv35dZrV6ztWrVzODNjg4mKtXr+Li4pJ5zdbZ2RkTExNdlym0QOZ2Fq+8\nhg0bsmrVKvz8/AgJCSnSWrr379+nfPnyRbp2fPHiRerUqYOvry9+fn7s3r0bQ8OcJmnUvR9//JHe\nvXvnGbyQPgrQsmVL9uzZg5+fn5aqK1nS0tKIjIzMcnPU06dPM89qhwwZQpMmTTAwkB/DryI58xXi\nP4sXL2bu3LmEhYVRoUKFQu0bGRlJp06diIqKKvRx169fT0BAAAEBAXTt2hVLS0t++umnErdAe2Ji\nIrVr1+bgwYM4ODjk237x4sWEhYWxatUqLVSne8nJyZw8eTIzaI8cOYKFhUWWO5HfeOONEvf3KnRD\nvnIJ8Z8RI0Zw8eJFunXrxq5duwp19nn//n0qVizocvNZZczprK+vz5o1a3B3d2f27NmMK2Hz4AYE\nBNC4ceMCBS+At7c3X3zxBSkpKS/l2d2TJ084evRo5s1Rx44do06dOnh4eNCnTx8WLVqElZWVrssU\nJdTL93+EEMXw3Xff0bVrV4YPH87y5csLfJZy7969Qp8tZzh37lzmzV5mZmZs27YNV1dX6tati6+v\nb5H6VDdFUZg3b16hFqeoVasW1tbWhIaG0qpVKw1Wpx1xcXFZbo46f/48TZo0wcPDg3HjxuHm5kb5\n8uV1XaYoJSR8hXiOvr4+a9euxcPDgxkzZjBx4sQC7Xfv3r1in/lmsLa2ZtOmTXh7e7Nv3z4aN25c\npH7VKTw8nPv379OhQ4dC7efr68u2bdtKXfgqisKVK1cyz2qDg4OJjY3Fzc0NDw8Pvv/+e1q0aKGW\nNaLFq0nCV4hsTE1N2b59O66urtja2tKjR4989ynqsHNCQgLXr1/n9ddfz/K+s7MzCxYswNfXl/Dw\ncKpVq1bovtVp3rx5jBo1qtCTOfj6+tK7d2++//77/BvrUFpaGufOnctyJ3JqamrmzVEjRoygUaNG\n6Ovr67pU8ZKQ8BUiB1ZWVmzbto127dphbW2Ni4tLnu2LeuZ74cIF3njjjRynA+zZs2fmjVyHDh3C\n2Ni40P2rQ2xsLLt27WLRokWF3rdp06bEx8cTFRWFnZ2dBqormsTERE6cOJEZtKGhoVSuXBl3d3fe\neustpk6diq2trdwcJTRGZj0XIhdNmjThl19+oWvXrly+fDnPtkW95pt9yDm7yZMnY2try+DBg9HV\ngwlLliyhV69eRbqeqVKp8PHxYdu2bRqorOAePXrE7t27+fzzz3nzzTepVKkSo0ePJjY2loEDB3L+\n/Hmio6NZsWIFgwYN4vXXX5fgFRol4StEHjp27MjEiRPx9vbmwYMHubYr6plvfuGrUqlYvnw5ly9f\nZsqUKYXuv7gSExNZunQpo0ePLnIfGdd9tenWrVsEBgYyZswYHB0dqVGjBtOnTwdg0qRJxMbGcvLk\nSebOnYufn5/Oh/XFq0eGnYXIxwcffEB0dDTdu3dn586dOQ4RF/Wa77lz5xg5cmSebYyNjdmyZQvO\nzs7Y2dnRq1evQh+nqDZs2ECDBg2oV69ekfto06YNvXr14s6dO1SuXFmN1aVTFIVLly5lWXwgLi6O\nli1b4uHhwYIFC2jWrJlM9C9KFAlfIQrghx9+oFOnTowaNYolS5a8MCSpqWHnDNWqVWP79u14enry\n2muv4ezsXOhjFcX8+fP5/PPPi9WHkZERXl5e7Ny5k/79+xe7ptTUVM6cOZPl5ih9ff3MiSw++ugj\nGjRoIGsJixJNZrgSooAeP36Mh4cH7777Lh9//HGWbXZ2dmzduhV7e/sC9/fgwQNq1qzJo0ePChwU\n27dvZ/jw4YSFhWl8dZvw8HD69OlDdHR0se/y/eWXXwgKCiIwMLDQ+z579ow///wzM2jDwsKoXr16\n5p3IHh4e2NjYyDVaUarIma8QBWRubk5QUBAuLi7Y2tpmWYGoKMPOERER1K9fv1BnaD4+PkRHR+Pj\n40NISAjm5uaFOmZhZDxepI7Hazp27MiYMWNITEzMd/j3wYMHhIaGZobt6dOnqVevHu7u7gwbNoxV\nq1ZhaWlZ7JqE0CU58xWikE6cOEH79u3ZuXMnTk5OKIqCoaEhCQkJOV4Pzs2SJUs4duwYy5cvL9Tx\nFUVh2LBh3Lp1i82bN2vk2dMbN25Qv359/vnnH7XN2uTu7s4XX3zB22+/neX92NjYLIsP/PPPPzg5\nOWUOI7u4uGBmZqaWGoQoKeTMV4hCatasGcuWLaNz586EhYVRvnx5jIyMChW8UPDrvdmpVCoWLlzI\n22+/zYQJEzQygcWSJUvo2bOnWqdLzLjr2cbGJkvYPnz4MHP4uF+/fjg6Ohb6z1KI0kbCV4gi6NSp\nE5cuXaJjx46sXbu2yHc6F3XuZkNDQzZu3IizszMODg4MGTKkSP3kJCkpiSVLlrB///5i95WSksLp\n06cJDg5m7969HDhwgO3bt9OqVSs8PDyYMGEC9vb2cnOUeOVI+ApRRP7+/ly8eJHhw4cXOnwVReHs\n2bNFOvPNULFiRYKCgmjVqhW2tra0bt26yH09b8OGDdSvX79IjxclJCQQHh6e+cjP0aNHsba2xsPD\ng4EDB/L333+zadMmmjZtqpZahSit5JqvEMWQkpKCi4sLN2/e5Nq1awW+4/bWrVvUq1ePO3fuFPsu\n3f3799OnTx9CQkKoW7dusfoCcHFxYdKkSQU6K7937x5HjhzJHEI+c+YMjRo1yhxGbtmyJZUqVcps\nP27cOCwsLJg8eXKx6xSiNJOxHiGKwcDAgA8++IDHjx8zd+7cAu+Xcb1XHY/HeHp6MnXqVLy9vbl/\n/36x+jp27Bi3bt2iY8eOOW6/du0aa9euZcSIETRo0AAbGxvmzZuHmZkZ06dPJy4ujrCwML777jt8\nfX2zBC/oZrYrIUoiGXYWopgSExPp2LEj3333HXXq1CnQGWNRb7bKzbBhw7hw4QLdu3fn999/L/IN\nS/Pnz2f06NHo6+ujKAoXLlzIcnPU06dPM89qhwwZQpMmTTAwKPiPkZYtW3L58mWuX79OzZo1i1Sj\nEC8DOfMVopju3btHrVq12Lx5M0OGDOHkyZP57qPu8AX4/vvvKVu2LB988EGRFmG4du0aW7duJT4+\nnk6dOmFpaYm3tzehoaG0bt2aPXv2cOvWLTZt2oS/vz/NmzcvVPBC+kjBO++8Q1BQUKHrE+JlIme+\nQhTTvXv3qFSpEi1atODHH3+kU6dOhIWFZTmzu3PnDlu3buX27dskJyezb98+WrZsqdY69PX1Wbdu\nHS1btmTevHmMGTMmz/ZPnjzh6NGjmTdHhYSEYGZmxu3bt+nTpw+LFi3CyspKrTVC+tDzL7/8wvDh\nw9XetxClhdxwJUQxDR06lBYtWjB06FAAZs6cyW+//UZwcDDnzp1j0fffs33HDtrr61P72TMM0tKI\nURT2GhtjU7cuIydMwM/PD0NDQ7XUc+XKFdzc3Fi2bBkdOnTIfD8uLi4zZIODgzl//jxNmjTJnMhi\n+PDh7Nu3j/r166uljtw8fPiQWrVqERsbK5NniFeWhK8QxdStWzd69+6Nn58fkP4Y0XvvvUfIgQM8\nu32bMc+eMTAtjewPI6UA24F5ZmbEW1uz/cABqlatqpaajhw5gq+vL+PGjePKlSsEBwcTGxuLm5tb\n5jXbFi1aYGRkBMDatWtZvny5Wp7tLYi33nqLESNGZJmiU4hXiQw7C1FMOa7l++wZFlevcjQtjdzW\nOjIAugCdnzzhy4sXadW8OUdOnSrSsntpaWmcO3cuy0o/KSkpfP3110yaNIkRI0bQqFGjXKeinD9/\nPp9++mmhj1tUPj4+bNu2TcJXvLLkhishiil7+M6dNYvTW7ZwII/gfZ4K+Co5mS63b9OtffsC3SyV\nlJFF6csAACAASURBVJREaGgoM2fOxNvbm8qVK9OtWzeOHz/OW2+9xaFDh3jw4AFjx45l586dODg4\n5Bq8f/75Jzdv3sTb27uAn7j4fHx82LFjB6mpqVo7phAliQw7C1FM1tbWhISEYG1tTVJSErWrVGHf\nw4cU9sppGlDPzIyfdu7Ew8Mjy7ZHjx4RFhaWeVZ74sQJ3njjjczFB9zd3alWrdqLfaal0bNnT8qW\nLcvq1atzfK64f//+NGrU6IVlEjWtcePGLF68GDc3N60eV4iSQMJXiGIyMzPjxo0bmJubExAQwOL3\n3uPg48cvtLsHDAH2A5WA6UDvbG3mqlQc9fZmzk8/ZQZtSEgIUVFRNGvWLDNsXV1dKVeuXIHqS0hI\n4M0336Rz58589tlnWbbdvHkTBwcHLl26VKT5qYvjiy++IDk5mRkzZmj1uEKUBBK+QhRDUlISpqam\nJCUloVKpaOvkxIjjx+meQ9veQFlgGXAWaAscAZ6fQfkBYKVSYWBunuWstnnz5vmug5uXGzdu4Ozs\nzKxZs+je/f+rmzJlCjExMSxZsqTIfRfVn3/+yYABAzh//rzWjy2Erkn4ClEMt27dolGjRty6dQuA\niqamRCckkP2WqXigInARsP7vvaFAZeCbbG3dzMz4ets22rRpo9ZaT506xVtvvcXvv/9O8+bNSUpK\nwsbGhj179qh9wo+CSEtLw8rKiuDgYF5//XWtH18IXZIbroQohnv37lGhwv/fVvXw6VMscmgXDRjz\n/8EL0AiIyKFtRT09HucwbF1cTZs25aeffqJz585cv36djRs3Ym9vr5PgBdDT08PHx4ft27fr5PhC\n6JI8aiREMWS/09nE0JCniYlkn1n5CWCa7T1TIKeITVCpMDExUW+h/+ncuTNRUVH4+vpiaGio1ceL\ncuLr68usWbPw9/fXaR1CaJuc+QpRDNnD17pKlRzPZs1IH3p+3hPAPNt7KUBUcjK1atVSa53PGz9+\nPFZWVpw9ezbX1Yu0xdPTk5MnT3Lv3j2d1iGEtkn4ClEM9+/fzzLsPHDUKJYYG7/Q7g3gKXD1uffO\nANkHfIOA2nXqYGdnp/5i/6NSqShfvjxVq1bV+bq6xsbGtG7dmt9//12ndQihbRK+QhRD9jPfQUOG\nsFVRuJutnSnQFfgfkAycAjYC/bK1W2RmxsgJEzRYMdy+fZugoCB2795NQEAAv/zyi0aPlx9fX1+5\n7iteORK+QhRD9vCtXLkyXTt3ZlLZsmR/jGAR6Y8SVSI9iBcDDs9t3wkcT02la9euGq156dKldO/e\nnbp16xIUFMT48eMJDg7W6DHz4u3tze7du0lKStJZDUL8X3t3GlxVla9//DlkDiEBogyCzAlBBRUC\n4gBYTCokAWJCBEpRQKGx4Palm7Yv/+7mqtVWgzZQSYBmSJgVbkDAMKitXOYYgshMQBCnjgohIUwB\nMpz/CzvckOHkjPvkJN9PFW+y917rxwt4stZea22jEb6AA/Lz8ysdTjF30SJ90bq1Znp73xXATSRt\nlHRF0nlJL5S7tkfS2IAAterYUfHx8crNzXVJvUVFRVq4cKGmTJkiSerSpYtWr16t+Ph4nTt3ziV9\n1qR58+aKiIjQ7t273dI/4A6EL+CAiluNJCk4OFif7N2rrZ06abSfn05ZeD5f0rsmk55v2FAffPSR\nDh06pAcffFDdu3fXvn37nF7vhg0bFB4erq5du9752eDBg/XnP/9Z0dHRKigocHqf1oiJidFHH33k\nlr4BdyB8AQdU+UUjSS1atNCurCx1+s//VP+QEPVv1EirJO2WlKFfF1aN9/dXez8/HR42TDsPHNDA\ngQPl4+Oj2bNna/78+YqNjdXs2bNVWlrqtHqTkpI0derUSj9//fXXNWDAAI0cOVLFxcVO689aZV85\n4swf1BeccAU4oHfv3po3b5569+5d7T23b9/Wxo0b9ftJk3Rvkyby8fVVkyZN1HfIEE2YOFHNmjWr\n8rnvv/9eCQkJCg0N1YoVKxQaGupQrV9++aViY2N17tw5eXtX3uJfXFysqKgoderUScnJyQ71ZSuz\n2ayOHTtq8+bNd43KgbqKkS/ggKqmnSvy9fVVQkKCCr28tD0jQ5nZ2fo4I0Mz/vznaoNX+vVrSbt2\n7VJERIS6d++ujIwMh2pNSkrS66+/XmXwSpK3t7fWrVunHTt2aP78+Q71ZSuTycTUM+oVwhdwQHXT\nzhVdvHhRpaWlFsO2Kr6+vnrvvfeUlJSk4cOH67333rNravbChQvavHmzxo8fb/G+kJAQbdmyRW+/\n/bY++eQTm/txBOGL+oTwBexUWlqqy5cv1zjylaRTp06pS5cuVX5P1xoxMTE6cOCA0tLSNGzYMJtP\nhFqyZIni4uKsmrru0KGD0tLS9OKLLxr6xaE+ffrozJkz+umnnwzrE3AXwhew09WrVxUYGFjtNG55\nZeHriLZt22rPnj0KCwvTo48+qi+++MKq54qKirRgwYI724us0adPH7377ruKjo522baninx8fPTs\ns89q69athvQHuBPhC9jJ2ilnyTnhK/06Df33v/9diYmJdz5KUNM09IcffqiwsDB169bNpr7Gjh2r\nkSNHKjY2Vrdu3XKkbKsx9Yz6gvAF7OSO8C0zbNgwZWZmat26dRo+fLjFaejqthdZ469//avuuece\nTZw40ZBtQM8++6x27typGzduuLwvwJ0IX8BOVZ1uVZ1Tp04pIiLCqf23b99ee/fuVYcOHdS9e3dl\nZmZWuufQoUP64YcfFBMTY1cfDRo00KpVq3T06FHNnj3b0ZJr1KRJE0VGRuqzzz5zeV+AOxG+gJ2s\n2WYkSdeuXVNubq7atm3r9Bp8fX01d+5czZ07V9HR0Zo3b95dI9SkpCRNnjzZqvfS1WnYsKHS09OV\nlJSkjRs3OqNsi/jQAuoDwhewk7XTztnZ2QoPD5eXl5fLahkxYoQyMzO1Zs0ajRgxQvn5+bp48aI2\nbdqkCRMmONx+q1attGnTJr322mv66quvnFBx9aKjo5Wenu7Uk72A2obwBexkbfg6+31vdcqmodu1\na6fu3btr5syZev755x0+GatMZGSkFi5cqJiYGOXk5Dilzap07NhR99xzj7KyslzWB+BuhC9gp/z8\nfJv2+BrBz89P8+bN06xZs7Ro0SI1bdrUqQul4uLiNGnSJMXExLh0URSrnlHXEb6AnWyZdjYqfMuY\nTCZFRkZqx44dio2NVX5+vtPanjFjhrp06aKxY8e6bGq4bOoZqKsIX8BOtW3aubzExERNnz5d+/bt\n0/33368ePXo4bRrXZDJpyZIlysnJ0cyZM53SZkW9evXSL7/8ovPnz7ukfcDdCF/ATtZMOxcVFenb\nb79VWFiYQVVJX331lb777jsNHz5cfn5+SkxM1OzZszV06FAlJSU5ZRra399fGzdu1OrVq7V69Won\nVH03Ly8vRUVFMfpFnUX4AnayZuR79uxZ3X///fLz8zOoqqq3F8XFxSkjI0PLly9XXFycLl++7HA/\nzZo1U3p6uqZNm6b9+/c73F5FvPdFXUb4AnayJnyNnnK+ePGiNm7cWOX2oo4dO2r//v1q2bKlunfv\nroMHDzrc30MPPaQVK1YoLi5O3377rcPtlTdw4EAdOHBABQUFTm0XqA0IX8BO1pxwZXT4Ll26VLGx\nsbrnnnuqvO7n56fk5GTNmjVLzz33nJKTkx2ehn7uuef0xhtvKCoqSleuXHGorfIaNmyovn376uOP\nP3Zam0BtQfgCdrh586aKiooUGBho8T4jw7e4uNjqrxfFx8crIyNDqampio+Pd3h0OXXqVPXp00ej\nRo1SSUmJQ22Vx9Qz6irCF7BD2ai3pu/zuuJM5+ps2rRJ7du31yOPPGLV/Z06ddL+/fvVrFkzde/e\nXYcOHbK7b5PJpMTERN26dUu///3v7W6noqioKG3fvl1FRUVOaxOoDQhfwA7WvO8tLS3V6dOnDQvf\nxMREm77ZK/26annBggV655139Mwzz2jBggV2T0P7+PgoLS1N27Zt06JFi+xqo6L77rtPnTp10t69\ne53SHlBbEL6AHazZZvTDDz8oJCREISEhLq/n8OHDOn/+vIYPH27X8wkJCdq/f7+WLFmihIQEu6eh\nmzRpoi1btmjmzJn6/PPP7WqjIg7cQF1E+AJ2qG0rnZOSkvSb3/xGPj4+drcRFhamjIwMhYaGKjIy\n0u4PKISFhWnt2rUaPXq0Tp8+bXc9Zcre+xrxPWHAKIQvYIfaFL65ubn68MMP9eqrrzrclr+/vxYu\nXKi3335bgwcP1sKFC+0KvaefflrvvPOOoqKidOnSJYdq6tatm4qKinTq1CmH2gFqE8IXsIM1085G\nnem8dOlSjRgxQvfee6/T2nzhhRe0b98+LVq0SKNGjbJrC9H48eM1fPhwxcXF6fbt23bXYjKZWPWM\nOofwBexQW0a+tmwvslV4eLgyMjIUEhKiHj166PDhwza38be//U3BwcGaPHmyQ9PGvPdFXUP4Anao\nLeG7efNmtW3bVo8++qhL2g8ICNCiRYv05ptvatCgQVq0aJFNIerl5aU1a9YoKytLc+bMsbuOfv36\n6cSJE7pw4YLdbQC1CeEL2KGm8M3NzVVxcbGaN2/u0jrs2V5kj9GjR2vv3r2aP3++Ro8eratXr1r9\nbFBQkNLT0zVnzhy7R69+fn4aPHiwtm7datfzQG1D+AJ2qOmdb9mot6ZDOBxx5MgRnTt3TiNGjHBZ\nH+V17txZmZmZatSokXr06KEjR45Y/WybNm304Ycfaty4cTY9Vx7vfVGXEL6AHWoa+Rox5eyM7UW2\nCggI0OLFizVz5kwNHDhQixcvtnoa+rHHHlNycrJiYmL0888/29z3kCFDtGPHDt28edPmZ4HahvAF\n7ODu8L106ZI2bNig1157zWV9WDJmzBjt2bNHSUlJGjNmjNXT0AkJCRo3bpyGDx+uwsJCm/ps2rSp\nHnnkEe3YscOekoFahfAF7GDNtLMrj5VcunSphg0b5tTtRbaKiIhQZmamAgMDFRkZqaNHj1r13F/+\n8he1b99e48aNs3kFNFPPqCsIX8BGpaWlKigoUOPGjau9x5Uj3+LiYs2fP9+QhVY1CQwM1NKlS/Wn\nP/1JAwYM0NKlS2sMVJPJpNTUVJ0/f15vvfWWTf3FxMQoPT1dpaWljpQNuB3hC9iooKBAQUFB8vb2\nrvL6tWvXdPHiRbVr184l/X/00Udq06aNevTo4ZL27fHiiy9q9+7dmjdvnl566SVdu3bN4v0BAQHa\ntGmTUlNTtXbtWqv7CQsLU3BwsENfYAJqA8IXsFFNU86nT59WWFiYvLy8XNK/UduLbNWlSxcdOHBA\nvr6+ioyM1LFjxyze36JFC6Wnp2vKlCnKzMy0uh8O3EBdQPgCNqppsZUrj5U8evSozp49q9jYWJe0\n76jAwEClpKRoxowZ6t+/v1JSUixOQ3fr1k2pqamKjY3V999/b1UfvPdFXUD4AjZy50rnpKQkTZo0\nydDtRfZ46aWXtGvXLs2ZM0djx461OA0dHR2tadOmKTo62qpV048//rh+/PFHq8MaqI0IX8BG7grf\nS5cuaf369W7bXmSrBx54QAcOHJCXl5d69uyp48ePV3vvtGnT1LNnT40ZM0YlJSUW2/Xy8tLQoUOZ\neoZHI3wBG1l7upWzpaSkKCYmRs2aNXN6267SsGFDLVu2TG+88YaefvppLVu2rMr7TCaTFixYoKtX\nr+qPf/xjje3y3heejvAFbGRp5FtUVKTz588rPDzcqX2WbS+aOnWqU9s1yssvv6xdu3bp3Xff1csv\nv6zr169XusfX11cbNmzQpk2blJKSYrG9wYMHa//+/XZ96hCoDQhfwEaWwvfcuXNq3bq1/Pz8nNpn\nenq6WrduXau2F9nqwQcfVFZWlsxms3r27KkTJ05Uuqdp06basmWLZsyYoZ07d1bbVqNGjfTkk0/q\n008/dWHFgOsQvoCNLE07u2rKubZuL7JVw4YNtWLFCk2fPl39+vXT8uXLK93TuXNnvf/++0pISNDX\nX39dbVuseoYnI3wBG1ka+briWMljx47pzJkzev75553arju98sor2rlzp2bNmqVXXnml0jT0gAED\n9NZbbykqKkr5+flVthEdHa1t27apuLjYiJIBpyJ8ARvVFL7OHvl6yvYiWz300EPKyspScXGxevXq\npZMnT951feLEiRoyZIji4+NVVFRU6fnWrVurTZs2ysjIMKpkwGkIX8BGeXl5hk075+XlKS0tzWO2\nF9kqKChIK1eu1LRp09SvXz+tXLnyruvvvfee/Pz8NGXKlCoP62DqGZ6K8AVslJ+fX+XIt7S01Omn\nW6WkpCg6OlrNmzd3Wpu1jclk0vjx47Vjxw698847Gj9+vG7cuCHp1z29H3zwgfbt26fExMRKzxK+\n8FSEL2Cj6qadf/zxRwUHByskJMQp/ZSUlNSarxcZoWvXrjp48KBu3bqlXr166dSpU5Kk4OBgpaen\na9asWdq+fftdzzz66KO6fv26Tp8+7Y6SAbsRvoANCgsLZTabFRAQUOmas0e96enpatmypXr27Om0\nNmu7oKAgrVq1Sr/97W/Vt29frV69WpLUrl07rV+/XmPHjr3rpCyTycSBG/BIVX8TDUCVyrYZmUym\nStec/b43MTHRYw/VcITJZNKECRPUq1cvxcfHa+fOnUpMTNQTTzyhuXPnKjo6WpmZmXdO+oqJidGb\nb76pe++9V7m5uTKbzQoNDdWgQYPUunVrN/9tgKoRvoANalrp3LVrV6f0c/z4cWVnZ9ep7UW26tat\nmw4ePKiJEyfqscceU1pamsaMGaPs7GyNGDFCn332mbKysrQsOVlHMzO17fhxtbp9W5J0yNdXvysp\n0dN9+2ry9OkaMGBAlb8wAe5C+AI2qCl8R44c6ZR+yrYX+fr6OqU9T9WoUSOtWbNGS5YsUZ8+fTRv\n3jy9+eabOnnypB6JiFDppUuaeuOGlkgKKb9XuKhIVyWt+fRTTd23Tw/066dV69dX+boAcAeT2dLH\nNgHcZfPmzUpJSalyhW2zZs105MgRtWzZ0qE+8vPz1aFDB2VnZ9fpVc62OnLkiOLj49W3b1/96+uv\nVbpnjzaazQqs4blbkl4JCNAvDz+s7bt21ftfaFA7sOAKsEF1I99Lly7p9u3batGihcN9pKSkKCoq\niuCt4OGHH9aXX36pzN27dX3PHm2xInglyU/SqsJChRw5oikTJri6TMAqhC9gg+rCt2yxlaPvFcu2\nF9XHhVbWuH37tn784QdtMJtly3lfXpJWFBYqLS1NP/74o6vKA6xG+AI2qO50K2ed6bxlyxY1b968\nXm0vssWylBTFmEy6t8LPgyQ1KvfHW1LFX18aSRptNmvJwoWuLxSoAeEL2KC6062ctc2ovm4vsobZ\nbNbCOXM0ubCw0rVrkq7++8/PkgIkVbX07Te3bmnJggV8jAFuR/gCNqhp2tkRJ06c0MmTJxUXF+dQ\nO3VVQUGBLuTlqVcN962X1FzSU1Vce1CS6fZt/fTTT06vD7AF4QvYwJXhy/YiywoKCtTY11c1vVVf\nIeklC9dDvLxUUFDgxMoA27HPF7BB2QlX5V2/fl0XLlxQ+/btHWp33bp1d84zRmUBAQEqLCmxeM93\nknZLWmbhnsJqjgcFjMTIF7BBVSPfM2fOqFOnTvLy8rK73dTUVA0dOtQpW5XqqiZNmui22axfLNyz\nSlIfSW2ruV4g6dLt23eOpgTchfAFbFBV+Do65VxSUqLk5GQWWtXAx8dHL8THK8XCLzkrJY210MZK\nk0lDn3lGjRo1cnp9gC0IX8BKJSUlunLlSqVPBjoavlu3blWzZs3Uq1dNS4kw+Xe/0z/8/FTV5PN+\nSTmS4qt51ixpQcOGmjx9usvqA6xF+AJWKigoUHBwcKXpZUfDl+1F1nvkkUfUNjxciQ0q/9e1UtLz\nkhpW82yqySTf5s311FNVrYMGjMWCK8BKrljpfPLkSZ04cULx8dWN11DRqo0b9WT37mqWn68x5X7+\nDwvPbJL0/4KCtGvrVr5uhFqBkS9gpapOtyouLtY333yj8PBwu9pMSkrSxIkT2V5kg3bt2umT3bv1\nX6Gh+qOXl8UFWLmS/tvLS5MbN9aWHTvUuXNno8oELCJ8AStVdbrVuXPn1KpVK/n7+9vc3uXLl7V2\n7VpNnDjRWSXWGw899JAyjhxR3ujRivD316jAQG2R9KWkQ5K2S3opIEBh/v76Li5O+7/6SpGRke4t\nGiiHaWfAStWtdLb3TOfU1FQNGTLE4U8Q1letWrXS4pUr9W5SklauWKF5q1bpUl6ezGazmjZpoqEv\nvKC548YpNDTU3aUClRC+gJWcuc2o7OtF77//vrPKq7dCQkI0ZepUTWHRGjwI086Alao63cre8N22\nbZtCQ0P12GOPOas8AB6E8AWs5MyRL9uLgPqN8AWsVDF8zWazsrOzbQ7fkydP6tixY2wvAuoxwhew\nUsWtRv/6178UFBSkxo0b29ROcnKyJk6cKD8/P2eXCMBDsOAKsFLFrUb2TDlfvnxZH3zwgU6cOOHs\n8gB4EEa+gJUqTjvbE77Lli3Tc889p/vuu8/Z5QHwIIx8AStVnHY+deqUHnzwQaufL/t60erVq11R\nHgAPwsgXsILZbHZ42nn79u1q2rSpevfu7YoSAXgQwhewQmFhoUwmkwICAu78zNbwLdtexMH+AAhf\nwAoV3/fm5eXp5s2bVh8NeerUKR09elQjR450VYkAPAjhC1ihqve9ERERVo9ik5OT9dprr7G9CIAk\nFlwBVnHkfW9BQYE++OADHT9+3FXlAfAwjHwBKziyzWjZsmV65pln2F4E4A7CF7BCVdPO1oRvaWmp\nkpOTNWXKFFeWB8DDEL6AFSpOO1t7pvP27dvVuHFjPf74464sD4CHIXwBK5Sfdi4sLNTPP/+s9u3b\n1/hcYmKipkyZwvYiAHchfAErlJ92Pn36tDp27Chvb8vrFbOzs3X48GElJCQYUSIAD0L4AlYoP+1s\n7fvesu1F/v7+ri4PgIdhqxFghfLTztaEb0FBgd5//30dO3bMiPIAeBhGvoAVbA3f5cuXa/DgwWrV\nqpUR5QHwMIx8ASuUf+dbU/iWbS9avny5QdUB8DSMfAErlL3zLS4u1rlz5xQeHl7tvR9//LGCg4P1\nxBNPGFghAE9C+AI1KC4u1rVr1xQSEqJvvvlGLVu2vOvrRhUlJSWxvQiARUw7AzW4fPmygoOD1aBB\ngxqnnE+fPq1Dhw5p48aNBlYIwNMw8gVqYMs2o+TkZL366qtsLwJgESNfoAYVVzr37du3yvuuXLmi\nNWvW6OjRo0aWB8ADMfIFalB+pbOlM52XL1+uQYMGqXXr1kaWB8ADMfIFalA28jWbzdWGb9n2otTU\nVDdUCMDTMPIFalD2zjcnJ0cBAQF3fVqwzCeffKKgoCA9+eSTbqgQgKchfIEalI18LS22YnsRAFsQ\nvkANyt75Vhe+Z86c0cGDBzVq1Cg3VAfAExG+QA3Kpp2rC9/k5GRNmDCB7UUArMaCK6AG5aedY2Nj\n77p25coVrV69WkeOHHFTdQA8ESNfoAaWpp1XrFihgQMH6v7773dTdQA8ESNfoAb5+fny9vbWjRs3\ndN999935edn2oqVLl7qxOgCeiJEvUIO8vDxdvHhRERERd61m/vTTTxUYGKinnnrKjdUB8ESEL2CB\n2WxWXl6ecnJyKk05s70IgL2YdgYsuH79ury9vXX27Nm7wvfrr79WVlaW1q9f78bqAHgqRr6ABWXb\njCoeKzl//nyNHz/e4nd9AaA6jHwBC6o63erq1atauXKlDh8+7ObqAHgqRr6ABXl5eQoJCVFOTo46\ndOgg6dftRf3791ebNm3cXB0AT8XIF7AgPz9fPj4+6tixo7y9ve9sL1q8eLG7SwPgwRj5Ahbk5eXJ\nbDbfmXL+5z//KX9/f/Xp08fNlQHwZIQvYEFeXp5u3bp1J3zZXgTAGZh2Bqpx69Yt/fTTT7py5Yq6\ndOmis2fPKjMzU2lpae4uDYCHM5nNZrO7iwBqi7Nnz+ofiYlauXy58q9fl6+km6Wl6tKmjVqGh6tr\n166aM2eOu8sE4OEY+QKScnJy9OqoUco6cECvlJQoo6hIHSSZJBVL2vH995r9/fdavm+fmgYFacZ/\n/7caNOCtDQD7MPJFvXfmzBkNfuopjcvP1x+Ki2Xpq7zfSRrVsKE6Pvuslq9bJy8vL6PKBFCHEL6o\n1y5cuKDHH35Yb/zyi16z8p9CoaSowEA9MGaMkthyBMAOhC/qtcnjxsl31SrNKy626bkCSd0CA5X2\nv/+rXr16uaY4AHUW4Yt668qVK2rXooWOFRaqVYVrT0vK1P8timgt6VSFe2Y3aKBT8fFatnatiysF\nUNewYgT11upVqzSgQYNKwSv9utBqvqSr//5TMXglaVxpqTZt3qxLly65skwAdRDhi3pr44oVevH6\n9Wqv1zQldI+k/t7e2r59u1PrAlD3Eb6oty7m5up+C9f/KKmJpJ6SPqnmnlZFRcrNzXV6bQDqNsIX\n9VZJSUm1/wDek/SDpEuSfifpeUmnq7jPy2xWSUmJiyoEUFcRvqi3mjZpogvVXOshyV+//gN5QVJ/\nSelV3HfRx0dNmzZ1UYUA6irCF/XWoOHDtd7f0pEa/8esyu+Ar0v6uKRE/fv3d3ZpAOo4whf11oRJ\nk/Q/ZrMKKvy8QNIOSUWSSiWtl/S5pKEV7lsr6cknnlDbtm1dXiuAuoXwRb3VokULPTNokBZX+Dxg\nkaQ/SAqVFCLpb5LSJD1Q4Z6koCBN/sMfDKoWQF3CIRuo17Kzs9WvZ0+9f+2aBlj5jFnSq/7++ql3\nb6V//jkfWABgM/7XQL0WERGh/9myRS8EBmqDFffflPSSv79OhIVpXXo6wQvALvzPgXqvX79++mTP\nHk1v3ly9GzXSSv0asuV9J2mGt7fa+vurePBgff7FFwoKCnJDtQDqAqadgX8rKSnRtm3btGDWPCZ5\nxAAAAcdJREFULGUePKg2fn4KMJl0ubRUF0pK9NLYsZr0H/+hzp07u7tUAB6O8AWq8MsvvygnJ0c3\nbtxQ48aN1b59ewUGBrq7LAB1BOELAIDBeOcLAIDBCF8AAAxG+AIAYDDCFwAAgxG+AAAYjPAFAMBg\nhC8AAAYjfAEAMBjhCwCAwQhfAAAMRvgCAGAwwhcAAIMRvgAAGIzwBQDAYIQvAAAGI3wBADAY4QsA\ngMEIXwAADEb4AgBgMMIXAACDEb4AABiM8AUAwGCELwAABiN8AQAwGOELAIDBCF8AAAxG+AIAYDDC\nFwAAgxG+AAAYjPAFAMBghC8AAAYjfAEAMBjhCwCAwQhfAAAMRvgCAGAwwhcAAIMRvgAAGIzwBQDA\nYIQvAAAGI3wBADAY4QsAgMEIXwAADEb4AgBgMMIXAACDEb4AABiM8AUAwGCELwAABiN8AQAwGOEL\nAIDBCF8AAAxG+AIAYDDCFwAAgxG+AAAYjPAFAMBghC8AAAYjfAEAMBjhCwCAwQhfAAAMRvgCAGAw\nwhcAAIMRvgAAGIzwBQDAYIQvAAAGI3wBADAY4QsAgMEIXwAADEb4AgBgMMIXAACDEb4AABiM8AUA\nwGD/H15h95k5616rAAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x4461ad0>" | |
] | |
} | |
], | |
"prompt_number": 57 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"barbell = nx.barbell_graph(10,10)\n", | |
"nx.draw(barbell)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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kt99+k8k0hDCTuMhIHrW8QjUgP/AVMAzYm/ZqmqmcI1C7Vi1+OXAgy2FHJ0+e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\nKP83FXxfIu3bt5evvvrqmc49ePCgvNG4sbg7OEgPR0dZaB1YtRikv72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8vLxkzJgxkpyc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jIguNJXIOb/fLuB55xOvvjii2vu9vN/jh3LsbQ0NhUV0fISbf2ByU4n/52XR7/YWHJycqwoUaTW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\nMYWviIiIxf4fpy3X2d+jlZMAAAAASUVORK5CYII=\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x4432b50>" | |
] | |
} | |
], | |
"prompt_number": 58 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"lollipop = nx.lollipop_graph(10,20)\n", | |
"nx.draw(lollipop)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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/k1I3m+gKFWS7k3tJL+FYTnDhFduWg9Ry0ra7n58sW7as0LF37dolZcqUkb17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| |
"text": [ | |
"<matplotlib.figure.Figure at 0x4831e50>" | |
] | |
} | |
], | |
"prompt_number": 59 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### Stochastic graph generators" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"er = nx.erdos_renyi_graph(100,0.15)\n", | |
"nx.draw(er, with_labels = False, node_size = 20, linewidths = 0.5, width = 0.5, arrows = False)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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aNWt+djJXWVlZuf69HEm+//77bN26FSMjIzIyMrh27RoPExIwadqUgIcPKS0t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eCFksEM7dq1IyIiQmnEsWXLFqDkWnm3bt2UCmeASZMm4e/vr7GqnT9/Plu3btXYiq9fvz7n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\nCKFlEr5CCCGElkn4CiGEEFr2/wC3Hm9HOxGhPwAAAABJRU5ErkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x482f2d0>" | |
] | |
} | |
], | |
"prompt_number": 96 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"ws = nx.watts_strogatz_graph(30,3,0.1)\n", | |
"nx.draw(ws, with_labels = False, node_size = 20, linewidths = 0.5, width = 0.5, arrows = False)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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IjiFb3t7eiIiIEB1DZ7B8dUxoaCju3r2L999/X3QUIpVq1aoVzp49KzqGbL3z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\nAkCY+AJAmPgCQJj4AkDYX5Grhjb4rc7fAAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x4fb4750>" | |
] | |
} | |
], | |
"prompt_number": 97 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"ba = nx.barabasi_albert_graph(100,5)\n", | |
"nx.draw(ba, with_labels = False, node_size = 20, linewidths = 0.5, width = 0.5, arrows = False)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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+VCM3NzeOHz/+To4ZGhpaZAAaGhpqdIsqUaIEzs7OGkVOn332GU+ePGH9+vVs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\nR2lpqWC0EBgYS 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