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@mikk-c
Created September 20, 2018 12:27
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{
"cells": [
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#Graph traversal (BFS and DFS)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"\n",
"import networkx as nx \n",
"import random as rn\n",
"import matplotlib.pyplot as plt\n",
"plt.rcParams['figure.figsize']=[15,7]"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"g = nx.gnp_random_graph(10,0.4)\n",
"pos=nx.spring_layout(g,iterations=100)\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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VuCNizjnXqGhjkwITgItV9atoGuica5KiiU36Fkh/e/gJ8HvgafWOtisgfsevNB0LrMrk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\nXpkYJ0vMI7oAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11724d5f8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.clf()\n",
"\n",
"#Draw the original graph \n",
"plt.subplot(1,3,1)\n",
"plt.title(\"Original Graph\")\n",
"nx.draw_networkx(g,\n",
" width=2,\n",
" pos=pos,\n",
" node_size=400)\n",
"plt.axis('off')\n",
"\n",
"#Get edges traversed in DFS order \n",
"source_node = 7\n",
"plt.subplot(1,3,2)\n",
"plt.title(\"DFS Traversed(s=%s)\" %(source_node))\n",
"dfs_order= {}\n",
"edges_dfs = list(nx.dfs_edges(g,source_node))\n",
"for u,v in edges_dfs:\n",
" dfs_order[(u,v)]=edges_dfs.index((u,v))+1\n",
"nx.draw_networkx(g,\n",
" width=2,\n",
" pos=pos,\n",
" node_size=400)\n",
"nx.draw_networkx_edge_labels(g,pos,edge_labels=dfs_order,font_size=15)\n",
"plt.axis('off')\n",
"\n",
"#Get edges traversed in BFS order \n",
"plt.subplot(1,3,3)\n",
"plt.title(\"BFS Traversed (s=%s)\"%(source_node))\n",
"bfs_order= {}\n",
"edges_bfs = list(nx.bfs_edges(g,source_node))\n",
"for u,v in edges_bfs:\n",
" bfs_order[(u,v)]=edges_bfs.index((u,v))+1\n",
"nx.draw_networkx(g,\n",
" width=2,\n",
" pos=pos,\n",
" node_size=400)\n",
"nx.draw_networkx_edge_labels(g,pos,edge_labels=bfs_order,font_size=15)\n",
"plt.axis('off')\n",
"\n",
"\n",
"plt.show()\n",
"\n"
]
}
],
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