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arxiv: 1305.0636 · v5 · pith:OR4AWECDnew · submitted 2013-05-03 · 🧮 math.CO

Linear Clique-Width for Hereditary Classes of Cographs

classification 🧮 math.CO
keywords clique-widthcographslinearclassclasseshereditaryborrowsbounded
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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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