binomial_graph¶

binomial_graph(n, p, seed=None, directed=False)¶

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

The $G_{n,p}$ model chooses each of the possible edges with probability p.

The functions binomial_graph() and erdos_renyi_graph() are aliases of this function.

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.

See also

Notes

This algorithm runs in $O(n^2)$ time. For sparse graphs (that is, for small values of $p$ ), fast_gnp_random_graph() is a faster algorithm.

References

[1]	Erdős and A. Rényi, On Random Graphs, Publ. Math. 6, 290 (1959).

[2]	Gilbert, Random Graphs, Ann. Math. Stat., 30, 1141 (1959).