Erdős–Hajnal for graphs with no 5-hole

<p>The Erdős&ndash;Hajnal conjecture says that for every graph 𝐻 there exists 𝜏&gt;0 such that every graph𝐺not con-taining𝐻as an induced subgraph has a clique or stable set of cardinality at least |𝐺|𝜏. We prove that this is true when 𝐻 is a cycle of length five. We also prove several...

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Bibliographic Details
Main Authors: Chudnovsky, M, Scott, A, Seymour, P, Spirkl, S
Format: Journal article
Language:English
Published: London Mathematical Society 2023