Title

On the Minimum Number of k-Cliques in Graphs with Restricted Independence Number

Authors

V. Nikiforov

Abstract

We investigate the following problem of Erdos: Determine the minimum number of k-cliques in a graph of order n with independence number ≤ l. We disprove the original conjecture of Erdos which was stated in 1962 for all but a finite number of pairs k, l, and give asymptotic estimates for l = 3, k ≥ 4, and l = 4, k ≥ 4.

Publication Title

Combinatorics Probability and Computing

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