Warning

This documents an unmaintained version of NetworkX. Please upgrade to a maintained version and see the current NetworkX documentation.

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:
  • 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.