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Linear Clique-Width for Hereditary Classes of Cographs.

Authors :
Brignall, Robert
Korpelainen, Nicholas
Vatter, Vincent
Source :
Journal of Graph Theory. Apr2017, Vol. 84 Issue 4, p501-511. 11p.
Publication Year :
2017

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03649024
Volume :
84
Issue :
4
Database :
Academic Search Index
Journal :
Journal of Graph Theory
Publication Type :
Academic Journal
Accession number :
121348968
Full Text :
https://doi.org/10.1002/jgt.22037