Note

This documents the development version of NetworkX. Documentation for the current release can be found here.

networkx.algorithms.clique.graph_clique_number

graph_clique_number(G, cliques=None)[source]

Returns the clique number of the graph.

The clique number of a graph is the size of the largest clique in the graph.

Parameters
GNetworkX graph

An undirected graph.

cliqueslist

A list of cliques, each of which is itself a list of nodes. If not specified, the list of all cliques will be computed, as by find_cliques().

Returns
int

The size of the largest clique in G.

Notes

You should provide cliques if you have already computed the list of maximal cliques, in order to avoid an exponential time search for maximal cliques.