node_redundancy

node_redundancy(G, nodes=None)

Compute bipartite node redundancy coefficient.

The redundancy coefficient of a node is the fraction of pairs of neighbors of that are both linked to other nodes. In a one-mode projection these nodes would be linked together even if were not there.

where are the neighbors of in .

Parameters :

G : graph

A bipartite graph

nodes : list or iterable (optional)

Compute redundancy for these nodes. The default is all nodes in G.

Returns :

redundancy : dictionary

A dictionary keyed by node with the node redundancy value.

References

[R111]

Latapy, Matthieu, Clémence Magnien, and Nathalie Del Vecchio (2008). Basic notions for the analysis of large two-mode networks. Social Networks 30(1), 31–48.

Examples

>>> from networkx.algorithms import bipartite
>>> G = nx.cycle_graph(4)
>>> rc = bipartite.node_redundancy(G)
>>> rc[0]
1.0

Compute the average redundancy for the graph:

>>> sum(rc.values())/len(G)
1.0

Compute the average redundancy for a set of nodes:

>>> nodes = [0, 2]
>>> sum(rc[n] for n in nodes)/len(nodes)
1.0