56 lines
1.2 KiB
Python
56 lines
1.2 KiB
Python
#!/usr/bin/env python
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"""
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==========
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Properties
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==========
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Compute some network properties for the lollipop graph.
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"""
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# Copyright (C) 2004-2019 by
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# Aric Hagberg <hagberg@lanl.gov>
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# Dan Schult <dschult@colgate.edu>
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# Pieter Swart <swart@lanl.gov>
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# All rights reserved.
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# BSD license.
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import matplotlib.pyplot as plt
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from networkx import nx
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G = nx.lollipop_graph(4, 6)
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pathlengths = []
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print("source vertex {target:length, }")
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for v in G.nodes():
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spl = dict(nx.single_source_shortest_path_length(G, v))
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print('{} {} '.format(v, spl))
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for p in spl:
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pathlengths.append(spl[p])
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print('')
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print("average shortest path length %s" % (sum(pathlengths) / len(pathlengths)))
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# histogram of path lengths
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dist = {}
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for p in pathlengths:
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if p in dist:
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dist[p] += 1
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else:
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dist[p] = 1
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print('')
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print("length #paths")
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verts = dist.keys()
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for d in sorted(verts):
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print('%s %d' % (d, dist[d]))
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print("radius: %d" % nx.radius(G))
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print("diameter: %d" % nx.diameter(G))
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print("eccentricity: %s" % nx.eccentricity(G))
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print("center: %s" % nx.center(G))
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print("periphery: %s" % nx.periphery(G))
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print("density: %s" % nx.density(G))
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nx.draw(G, with_labels=True)
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plt.show()
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