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@mogproject
Last active August 29, 2015 14:27
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{
"metadata": {
"name": "",
"signature": "sha256:3ce11332e4d6d267a826e8ce25f92844c80fff3002cda69eeab74f8a1488977b"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import networkx as nx\n",
"from networkx.generators import *\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def draw(G):\n",
" nx.draw(G)\n",
" plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"draw(complete_graph(12))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ISEiVZVZTU5OZ79jU1BS3b9+WuzyPHz+GgYEBzp49CwB49eoVbGxsKi3yUF5e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\nC4zX7w+oAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1127168d0>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"draw(balanced_tree(3, 3))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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RaDZbtXFCp/EA1AEBKC0tHfCxJpMJNTU1uNzWNuBjyf0w+BK5sYkTJ+LIkSP4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\n",
"text": [
"<matplotlib.figure.Figure at 0x112841438>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"draw(barbell_graph(4, 1))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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MZLl4EEcjd/soQo3G4D7uPIqQv6Ab3sWLF5GRkYGPP/4YvXv3xueff46wsDCT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\n",
"text": [
"<matplotlib.figure.Figure at 0x112925c88>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"draw(path_graph(12))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ftElVWVnqGmVdVec2svHOLdIdAQw4VLLMMFevW6fNzzyjpXl5usnjUUDSmYu+\nH9XIcviS3FwtzcvT5vZ2uk0B4hkw4HhOfFXq49DwAhgbAhhIAsnWUtEpG9kAJyOAgSTBDBNILQQw\nkISYYQLJjwAGAMAAdkEDAGAAAQwAgAEEMAAABhDAAAAYQAADAGAAAQwAgAEEMAAABhDAAAAYQAAD\nAGAAAQwAgAEEMAAABhDAAAAYQAADAGAAAQwAgAEEMAAABhDAAAAYQAADAGAAAQwAgAEEMAAABhDA\nAAAYQAADAGAAAQwAgAEEMAAABhDAAAAYQAADAGAAAQwAgAEEMAAABhDAAAAYQAADAGAAAQwAgAEE\nMAAABhDAAAAYQAADAGAAAQwAgAEEMAAABhDAAAAYQAADAGAAAQwAgAEEMAAABhDAAAAYQAADAGAA\nAQwAgAEEMAAABhDAAAAYQAADAGAAAQwAgAEEMAAABhDAAAAYQAADAGAAAQwAgAEEMAAABhDAAAAY\nQAADAGAAAQwAgAEEMAAABhDAAAAYQAADAGAAAQwAgAH/H4JHaxUXIs8gAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1130b9f28>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"draw(dodecahedral_graph())"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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v0bnxUim5OjhQxypVKAF4ZoOAMoC2ARQiElFNsZjipVIdR/6s+/fvU2JiIk2f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\nFfXq1cPnn3+OrKwszP+/9u4+psq6/wP4Oxeg8iR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SjOFLRESkGMOXiIhIMYYvERGRYv8H\naNr0TZ1SplAAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x112903a20>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"draw(pappus_graph())"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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49eqV0HFYFXC3MwMAPH78GJ999hnc3d3h6+sLXV1doSOVrg71ZkBUdHQ07ty5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\nAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x112810ac8>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"draw(fast_gnp_random_graph(10, 0.3))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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w3b9/v9atW6czZ87oueeeI3iBOobwBdzQnDlzNGDAAH3++edKS0tzdTkAnIwr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\nTPUAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x112917fd0>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"draw(random_regular_graph(3, 12))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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jY7FhwwYcPXpUh5UZJ4Yv6YxSqYSLiwsOHjyIrl27Sl0O6SlBEPDSSy/ByckJ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\n",
"text": [
"<matplotlib.figure.Figure at 0x11321d390>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"draw(random_clustered_graph([[1,0],[1,0],[1,0],[2,0],[1,0],[2,1],[0,1],[0,1]]))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x113243048>"
]
}
],
"prompt_number": 12
}
],
"metadata": {}
}
]
}
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