The minimum number of 4-cliques in graphs with triangle-free complement

Mathematics – Combinatorics

Scientific paper

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8 pages

Scientific paper

Write f(n) for the minimum number of 4-cliques in graphs of order n with
triangle-free complement. Finding f(n) is a particular case of a problem raised
by Erdos in 1962. We give an upper bound of f(n) and a matching lower bound
when the graph is close to regular.

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