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dense_gnm_random_graph(n, m, seed=None)[source]

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.

  • n (int) – The number of nodes.
  • m (int) – The number of edges.
  • seed (int, optional) – Seed for random number generator (default=None).


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


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