Linear clique-width for hereditary classes of cographs

Journal article

Brignall, Robert, Korpelainen, Nicholas and Vatter, Vincent 2016. Linear clique-width for hereditary classes of cographs. Journal of Graph Theory. https://doi.org/10.1002/jgt.22037
AuthorsBrignall, Robert, Korpelainen, Nicholas and Vatter, Vincent
Abstract

The class of cographs is known to have unbounded linear clique-width. We prove that a hereditary class of cographs has bounded linear clique-width if and only if it does not contain all quasi-threshold graphs or their complements. The proof borrows ideas from the enumeration of permutation classes.

KeywordsCograph; Graph theory; Clique-width; Graph class
Year2016
JournalJournal of Graph Theory
PublisherWiley
ISSN0364-9024
Digital Object Identifier (DOI)https://doi.org/10.1002/jgt.22037
Web address (URL)http://hdl.handle.net/10545/621048
http://creativecommons.org/licenses/by/4.0/
hdl:10545/621048
Publication dates28 Mar 2016
Publication process dates
Deposited23 Nov 2016, 15:08
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Archived with thanks to Journal of Graph Theory

ContributorsUniversity of Derby
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