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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
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References:

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