bipartite_random_graph

bipartite_random_graph(n, m, p, seed=None, directed=False)

Return a bipartite random graph.

This is a bipartite version of the binomial (Erdős-Rényi) graph.

Parameters :

n : int

The number of nodes in the first bipartite set.

m : int

The number of nodes in the second bipartite set.

p : float

Probability for edge creation.

seed : int, optional

Seed for random number generator (default=None).

directed : bool, optional (default=False)

If True return a directed graph

See also

gnp_random_graph, bipartite_configuration_model

Notes

The bipartite random graph algorithm chooses each of the n*m (undirected) or 2*nm (directed) possible edges with probability p.

This algorithm is O(n+m) where m is the expected number of edges.

The nodes are assigned the attribute ‘bipartite’ with the value 0 or 1 to indicate which bipartite set the node belongs to.

References

[R206]

Vladimir Batagelj and Ulrik Brandes, “Efficient generation of large random networks”, Phys. Rev. E, 71, 036113, 2005.