eigenvector_centrality_numpy

eigenvector_centrality_numpy(G, weight='weight')

Compute the eigenvector centrality for the graph G.

Parameters :

G : graph

A networkx graph

weight : None or string, optional

The name of the edge attribute used as weight. If None, all edge weights are considered equal.

Returns :

nodes : dictionary

Dictionary of nodes with eigenvector centrality as the value.

See also

eigenvector_centrality, pagerank, hits

Notes

This algorithm uses the SciPy sparse eigenvalue solver (ARPACK) to find the largest eigenvalue/eigenvector pair.

For directed graphs this is “left” eigevector centrality which corresponds to the in-edges in the graph. For out-edges eigenvector centrality first reverse the graph with G.reverse().

Examples

>>> G = nx.path_graph(4)
>>> centrality = nx.eigenvector_centrality_numpy(G)
>>> print(['%s %0.2f'%(node,centrality[node]) for node in centrality])
['0 0.37', '1 0.60', '2 0.60', '3 0.37']