Towards Erdős-Hajnal for graphs with no 5-hole

The Erdős-Hajnal conjecture says that for every graph H there exists c > 0 such that max(α(G), ω(G)) ≥ n c for every H-free graph G with n vertices, and this is still open when H = C5. Until now the best bound known on max(α(G), ω(G)) for C5-free graphs was the general bound of Erdős and Hajn...

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Bibliographic Details
Main Authors: Chudnovsky, M, Fox, J, Scott, A, Seymour, P, Spirkl, S
Format: Journal article
Language:English
Published: Springer Berlin Heidelberg 2019