networkx.algorithms.clique.graph_clique_number

graph_clique_number(G, cliques=None)

Returns the clique number of the graph.

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

Parameters

• G (NetworkX graph) – An undirected graph.

• cliques (list) – 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

The size of the largest clique in G.

Return type

int

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.