Return the communicability centrality for each node of G
Communicability centrality, also called subgraph centrality, of a node
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is the sum of closed walks of all lengths starting and ending at node
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.
Parameters : | G: graph :
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Returns : | nodes:dictionary :
Dictionary of nodes with communicability centrality as the value.
|
Raises : | NetworkXError :
If the graph is not undirected and simple.
|
Notes
This version of the algorithm exponentiates the adjacency matrix.
The communicability centrality of a node
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in G can be found using
the matrix exponential of the adjacency matrix of G [R138] [R139],
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References
Examples
>>> G = nx.Graph([(0,1),(1,2),(1,5),(5,4),(2,4),(2,3),(4,3),(3,6)])
>>> sc = nx.communicability_centrality_exp(G)