PIMS-UVic Discrete Math Seminar: Sophie Spirkl

  • Date: 01/14/2021
  • Time: 10:00
Sophie Spirkl, UWaterloo



The Erdos-Hajnal conjecture for the five-cycle


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.

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This event took place via zoom and a recording is available on mathtube.org.