University of Birmingham > Talks@bham > Combinatorics and Probability Seminar > Induced trees and Erdos-Hajnal

Induced trees and Erdos-Hajnal

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If you have a question about this talk, please contact Johannes Carmesin.

A hereditary class of graphs has the Erdos-Hajnal property if there is some c>0 such that every graph G in the class contains a complete graph or independent set of size at least |G|^c. The Erdos-Hajnal Conjecture asserts that for every graph H the class of graphs with no induced copy of H has the Erdos-Hajnal property. Resolving a conjecture of Liebenau, Pilipczuk, Seymour and Spirkl, we show that, for every forest T, the class of graphs with no induced copy of T or its complement has the Erdos-Hajnal property. This is joint work with Chudnovsky, Seymour and Spirkl.

This talk is part of the Combinatorics and Probability Seminar series.

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