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

We prove that for every path H, and every integer d, there is a polynomial f such that every graph G with chromatic number greater than f(t) either contains H as an induced subgraph, or contains as a subgraph the complete d-partite graph with parts of cardinality t. For t = 1 and general d this is a...

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Principais autores: Nguyen, T, Scott, AD, Seymour, P
Formato: Journal article
Idioma:English
Publicado em: Wiley 2024