Induced subgraphs of graphs with large chromatic number. V. Chandeliers and strings

<p>It is known that every graph of sufficiently large chromatic number and bounded clique number contains, as an induced subgraph, a subdivision of any fixed forest, and a subdivision of any fixed cycle. Equivalently, every forest is pervasive, and K3 is pervasive, in the class of all graphs,...

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Détails bibliographiques
Auteurs principaux: Chudnovsky, M, Scott, A, Seymour, P
Format: Journal article
Langue:English
Publié: Elsevier 2021