Induced subgraphs of graphs with large chromatic number. VIII. Long odd holes

We prove a conjecture of András Gyárfás, that for all k, ℓ, every graph with clique number at most κ and sufficiently large chromatic number has an odd hole of length at least ℓ.

Bibliographic Details
Main Authors: Chudnovsky, M, Scott, A, Seymour, P, Spirkl, S
Format: Journal article
Language:English
Published: Elsevier 2019