Induced subgraphs of graphs with large chromatic number. IV. Consecutive holes

A hole in a graph is an induced subgraph which is a cycle of length at least four. We prove that for all ν > 0, every triangle-free graph with sufficiently large chromatic number contains holes of ν consecutive lengths.

Bibliográfalaš dieđut
Váldodahkkit: Scott, A, Seymour, P
Materiálatiipa: Journal article
Almmustuhtton: Elsevier 2018

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