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An upper bound on the number of cliques in a graph. (English) Zbl 0777.05070
The autors show that if the complement of a graph $$G$$ of $$n$$ vertices does not contain a set of $$t+1$$ pairwise disjoint edges as an induced graph, then $$G$$ has fewer than $$(n/2t)^{2t}$$ maximal complete subgraphs.

##### MSC:
 05C35 Extremal problems in graph theory 05C30 Enumeration in graph theory
##### Keywords:
upper bound; cliques
Full Text:
##### References:
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