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@khurchla
Created May 15, 2022 23:29
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Directional node graph of colormap with NetworkX Matplotlib
{
"cell_type": "code",
"execution_count": 13,
"id": "922307c8",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 864x864 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# import networkx with its conventional alias\n",
"import networkx as nx\n",
"# from matplotlib only import the pyplot class\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# map a cycle graph of 24 degree values\n",
"# create as a directional graph\n",
"G = nx.cycle_graph(24, create_using=nx.DiGraph())\n",
"# assign variable for a circular layout\n",
"pos = nx.circular_layout(G)\n",
"# draw it with its colormap and node attributes\n",
"nx.draw(G, pos, node_color=range(24), node_size=800, cmap=plt.cm.Reds)\n",
"plt.show()"
]
}
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