Induced subgraphs of induced subgraphs of large chromatic number

We prove that, for every graph F with at least one edge, there is a constant such that there are graphs of arbitrarily large chromatic number and the same clique number as F in which every F-free induced subgraph has chromatic number at most cF. This generalises recent theorems of Briański, Davies a...

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Bibliographic Details
Main Authors: Girao, A, Illingworth, F, Powierski, E, Savery, M, Scott, A, Tamitegama, Y, Tan, J
Format: Journal article
Language:English
Published: Springer Nature 2023