Polynomial bounds for chromatic number VIII. Excluding a path and a complete multipartite graph

We prove that for every path H $H$ , and every integer d $d$ , there is a polynomial f $f$ such that every graph G $G$ with chromatic number greater than f ( t ) $f(t)$ either contains H $H$ as an induced subgraph, or contains as a subgraph the complete d $d$ ‐partite graph with parts of cardinality...

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Bibliographic Details
Main Authors: Nguyen, T, Scott, A, Seymour, P
Format: Journal article
Language:English
Published: Wiley 2024