fast_gnp_random_graph¶

fast_gnp_random_graph(n, p, seed=None, directed=False)[source]¶

Returns a G_{n,p} random graph, also known as an Erdős-Rényi graph or a binomial graph.

Parameters:	n (int) – The number of nodes. p (float) – Probability for edge creation. seed (int, optional) – Seed for random number generator (default=None). directed (bool, optional (default=False)) – If True, this function returns a directed graph.

Notes

The G_{n,p} graph algorithm chooses each of the [n (n - 1)] / 2 (undirected) or n (n - 1) (directed) possible edges with probability p.

This algorithm runs in O(n + m) time, where m is the expected number of edges, which equals p n (n - 1) / 2. This should be faster than gnp_random_graph() when p is small and the expected number of edges is small (that is, the graph is sparse).