Induced subgraphs of graphs with large chromatic number. III. Long holes

We prove a 1985 conjecture of Gyárfás that for all k, ℓ, every graph with sufficiently large chromatic number contains either a clique of cardinality more than k or an induced cycle of length more than ℓ.

Bibliographic Details
Main Authors: Chudnovsky, M, Scott, A, Seymour, P
Format: Journal article
Published: Springer Berlin Heidelberg 2016