Created
February 13, 2013 04:02
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Node contribution to network modularity
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import networkx as nx | |
import scipy as sp | |
import numpy as np | |
import matplotlib.pyplot as plt | |
import community | |
def removeNode(web,node): | |
tempWeb = nx.DiGraph() | |
tempWeb.add_nodes_from(web.nodes()) | |
tempWeb.add_edges_from(web.edges()) | |
tempWeb.remove_nodes_from([node]) | |
return tempWeb | |
def getModularity(web): | |
D = web.to_undirected() | |
dendo = community.generate_dendogram(D, None) | |
partition = community.partition_at_level(dendo,len(dendo)-1) | |
return community.modularity(partition, D) | |
G = nx.read_edgelist('network.txt') | |
orig_mod = getModularity(G) | |
print orig_mod | |
delta_mod = [orig_mod-getModularity(removeNode(G,n)) for n in G] | |
print delta_mod | |
plt.plot(np.sort(delta_mod),'ok') | |
plt.show() | |
plt.axis('off') | |
pos = nx.spring_layout(G,iterations=5000) | |
nx.draw_networkx_edges(G,pos,alpha=0.07) | |
nodes = nx.draw_networkx_nodes(G,pos,node_size=20,node_color=delta_mod,cmap=plt.cm.Spectral,linewidths=0.0,weight=None) | |
plt.sci(nodes) | |
plt.colorbar() | |
plt.show() |
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