A note on the Erdos-Hajnal property for stable graphs

Abstract

In this short note we provide a relatively simple proof of the Erdos-Hajnal conjecture for families of finite (hyper-)graphs without the k-order property. It was originally proved by M. Malliaris and S. Shelah in "Regularity lemmas for stable graphs", Transactions AMS, 366, 2014, 1551-1585.

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