Erdős–Hajnal for graphs with no 5‐hole

نویسندگان

چکیده

The Erdős–Hajnal conjecture says that for every graph H $H$ there exists τ > 0 $\tau >0$ such G $G$ not containing as an induced subgraph has a clique or stable set of cardinality at least | $|G|^\tau$ . We prove this is true when cycle length five. also several further results: instance, if C $C$ and the complement forest, neither , $C,H$

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ژورنال

عنوان ژورنال: Proceedings of The London Mathematical Society

سال: 2023

ISSN: ['1460-244X', '0024-6115', '1234-5678']

DOI: https://doi.org/10.1112/plms.12504