load_centrality

load_centrality(G, v=None, cutoff=None, normalized=True, weight=None)

Compute load centrality for nodes.

The load centrality of a node is the fraction of all shortest paths that pass through that node.

Parameters :

G : graph

A networkx graph

normalized : bool, optional

If True the betweenness values are normalized by b=b/(n-1)(n-2) where n is the number of nodes in G.

weight : None or string, optional

If None, edge weights are ignored. Otherwise holds the name of the edge attribute used as weight.

cutoff : bool, optional

If specified, only consider paths of length <= cutoff.

Returns :

nodes : dictionary

Dictionary of nodes with centrality as the value.

Notes

Load centrality is slightly different than betweenness. For this load algorithm see the reference Scientific collaboration networks: II. Shortest paths, weighted networks, and centrality, M. E. J. Newman, Phys. Rev. E 64, 016132 (2001).