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).