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@fperez
Last active December 14, 2015 12:39
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Simple networkx example as IPython notebook
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{
"metadata": {
"name": "Simple NetworkX"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.kernel.zmq.pylab.backend_inline].\n",
"For more information, type 'help(pylab)'.\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Simple loading of NetworkX and creation of a graph. The `nx.draw` routine uses a default layout:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import networkx as nx\n",
"\n",
"G=nx.star_graph(20)\n",
"nx.draw(G)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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nZxk6dKjcuXNHT3eoFGSq5VsAeXh4EHzsGJt9fGhia8tWyHBZuSjgWxMTqtja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\ncrD/A99kWu+if+7wAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x2f9f150>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But we can also compute our own coordinates and colors and change the look a little:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pos = nx.spring_layout(G)\n",
"colors = range(20)\n",
"nx.draw(G, pos, node_color='#A0CBE2', edge_color=colors,\n",
" width=4, edge_cmap=plt.cm.Blues, with_labels=False)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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9FwtqOT/XtyEWT+3qChMBAEqtESlyyxsvBmbh9RSXw11KBWIwcbiXk4e4TBWy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\nSw8+xK4rFcf7hTTTxvt1alr3OuF8uu4iHidm6xwLaucHK2Hx7dcOXvb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"text": [
"<matplotlib.figure.Figure at 0x2c85450>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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