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@mikk-c
Last active September 12, 2018 08:47
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h1>Create your own synthetic dataset manually with some properties </h1>"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"#import important stuff\n",
"import networkx as nx\n",
"import matplotlib.pyplot as plt\n",
"import random as rn\n",
"\n",
"plt.rcParams['figure.figsize']=[15,7] #Just to make the figures quite bigger"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"#Write a function that creates a random graph with probaility p to create edges \n",
"def rand_graph(n_nodes,p_edges):\n",
" g = nx.Graph()\n",
" for n in range(0,n_nodes):\n",
" g.add_node(n, color=rn.randint(0,1)) # Add a property \"color\" to your nodes a random value (0 or 1)\n",
" \n",
" for n1 in g.nodes():\n",
" for n2 in g.nodes():\n",
" if n1 != n2 and rn.uniform(0,1) <= p_edges:\n",
" g.add_edge(n1,n2, color=rn.randint(0,1),weight= rn.uniform(0.5,5)) # add \"color\" and \"weight\" properties to the edges\n",
" return g"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Call your function \n",
"g = rand_graph(10,0.2)\n",
"#Extract the properties of the nodes and the edges for drawing purposes \n",
"nodes_colors = nx.get_node_attributes(g,'color')\n",
"edges_colors = nx.get_edge_attributes(g,'color')\n",
"edges_weights = nx.get_edge_attributes(g,'weight')\n",
"nx.draw(g, node_size= 500, width=[edges_weights[e] for e in g.edges()], node_color=[nodes_colors[n] for n in g.nodes()], edge_color=[edges_colors[e] for e in g.edges()],with_labels=True)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<font color='red'> <h1>Minmum and Maximum Spanning Tree</h1></font>\n"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x504 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Original graph\n",
"plt.subplot(1,3,1)\n",
"plt.title(\"Original network\")\n",
"pos= nx.spring_layout(g,iterations=10) # Very important when you want to draw the same nodes multiple times. It position the nodes always the same way so you can see the differences across figures clearly\n",
"nx.draw(g,pos, node_size= 500, width=[edges_weights[e] for e in g.edges()], node_color=[nodes_colors[n] for n in g.nodes()], edge_color=[edges_colors[e] for e in g.edges()],with_labels=True)\n",
"\n",
"#Minimum spanning tree\n",
"plt.subplot(1,3,2)\n",
"plt.title(\"MinSP\")\n",
"minSP=nx.minimum_spanning_tree(g,weight='weight')\n",
"min_edges_weights = nx.get_edge_attributes(minSP,'weight')\n",
"nx.draw(minSP,pos, node_size= 500, width=[min_edges_weights[e] for e in minSP.edges()], node_color=[nodes_colors[n] for n in g.nodes()], edge_color=[edges_colors[e] for e in minSP.edges()],with_labels=True)\n",
"\n",
"#Maximum spanning tree\n",
"plt.subplot(1,3,3)\n",
"plt.title(\"MaxSP\")\n",
"maxSP=nx.maximum_spanning_tree(g,weight='weight')\n",
"max_edges_weights = nx.get_edge_attributes(maxSP,'weight')\n",
"nx.draw(maxSP,pos, node_size= 500, width=[max_edges_weights[e] for e in maxSP.edges()], node_color=[nodes_colors[n] for n in g.nodes()], edge_color=[edges_colors[e] for e in maxSP.edges()],with_labels=True)\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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