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...

Full description

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