Warning

This documents an unmaintained version of NetworkX. Please upgrade to a maintained version and see the current NetworkX documentation.

networkx.generators.random_graphs.dense_gnm_random_graph

dense_gnm_random_graph(n, m, seed=None)

Returns a \(G_{n,m}\) random graph.

In the \(G_{n,m}\) model, a graph is chosen uniformly at random from the set of all graphs with \(n\) nodes and \(m\) edges.

This algorithm should be faster than gnm_random_graph() for dense graphs.

Parameters:

• n (int) – The number of nodes.
• m (int) – The number of edges.
• seed (integer, random_state, or None (default)) – Indicator of random number generation state. See Randomness.

See also

gnm_random_graph()

Notes

Algorithm by Keith M. Briggs Mar 31, 2006. Inspired by Knuth’s Algorithm S (Selection sampling technique), in section 3.4.2 of [1].

References

[1]	Donald E. Knuth, The Art of Computer Programming, Volume 2/Seminumerical algorithms, Third Edition, Addison-Wesley, 1997.