Get access

Tight upper tail bounds for cliques



With ξkmath image the number of copies of Kk in the usual (Erdős-Rényi) random graph G(n,p), pn-2/(k-1) and η > 0, we show when k > 1

equation image

This is tight up to the value of the constant in the exponent. © 2012 Wiley Periodicals, Inc. Random Struct. Alg., 2012

Get access to the full text of this article