# Linear Clique-Width for Hereditary Classes of Cographs

@article{Brignall2017LinearCF, title={Linear Clique-Width for Hereditary Classes of Cographs}, author={Robert Brignall and Nicholas Korpelainen and Vincent Vatter}, journal={J. Graph Theory}, year={2017}, volume={84}, pages={501-511} }

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.

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