*********************************** * Princeton Discrete Math Seminar * *********************************** Speaker: Sophie Spirkl (Waterloo) Thursday 11th February, 3:00 via Zoom. The Zoom link and password will be mailed to the seminar mail list. Title: The Erdos-Hajnal conjecture for graphs with no 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.   ---------------------------------- Next week: Michael Krivelevich Anyone wishing to be added to or removed from this mailing list should contact Paul Seymour (pds@math.princeton.edu)