A Note on \(K_{r}\)-Free Graphs with Chromatic Number at least \(r\)

Michael E. Picollelli1
1Department of Mathematics California State University San Marcos San Marcos, CA 92096, USA

Abstract

We provide a new proof of a result of Hanson and Toft classifying the maximum-size \(K_r\)-free graphs on \(n\) vertices with chromatic number at least \(r\).