Induced subgraphs of graphs with large chromatic number. XIII. New brooms

Gyárfás (1975) and Sumner (1981) independently conjectured that for every tree , the class of graphs not containing as an induced subgraph is -bounded, that is, the chromatic numbers of graphs in this class are bounded above by a function of their clique numbers. This remains open for general trees...

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