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arXiv · 1504.08252

A note on the Erd\H{o}s-Hajnal property for stable graphs

Artem Chernikov·Sergei Starchenko
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Abstract

In this short note we provide a relatively simple proof of the Erd\H{o}s-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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Artem Chernikov, Sergei Starchenko. 2015-04-30. A note on the Erd\H{o}s-Hajnal property for stable graphs. https://arxiv.org/abs/1504.08252

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