The Erdos-Hajnal conjecture for the five-cycle
Speaker: Sophie Spirkl
Date: Thu, Jan 14, 2021
Location: Zoom, PIMS, University of Victoria
Conference: PIMS-UVic Discrete Math Seminar
Subject: Mathematics
Class: Scientific
Date: Thu, Jan 14, 2021
Location: Zoom, PIMS, University of Victoria
Conference: PIMS-UVic Discrete Math Seminar
Subject: Mathematics
Class: Scientific
Abstract:
The Erdos-Hajnal conjecture states that for every graph H there exists c > 0 such that every n-vertex graph G either contains H as an induced subgraph, or has a clique or stable set of size at least n^c. I will talk about a proof of this conjecture for the case H = C5 (a five-cycle), and related results. The proof is based on an extension of a lemma about bipartite graphs due to Pach and Tomon. This is joint work with Maria Chudnovsky, Alex Scott, and Paul Seymour.
