Clique-width of unit interval graphs
Vadim V. Lozin
TL;DR
This paper proves that while unit interval graphs have unbounded clique-width overall, any hereditary subclass of these graphs has bounded clique-width, establishing a minimal hereditary class with this property.
Contribution
It demonstrates that the class of all unit interval graphs is minimally hereditary with unbounded clique-width, contrasting with subclasses where clique-width is bounded.
Findings
Unit interval graphs have unbounded clique-width.
Every hereditary subclass of unit interval graphs has bounded clique-width.
The class of all unit interval graphs is minimal with unbounded clique-width.
Abstract
The clique-width is known to be unbounded in the class of unit interval graphs. In this paper, we show that this is a minimal hereditary class of unbounded clique-width, i.e., in every hereditary subclass of unit interval graphs the clique-width is bounded by a constant.
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Taxonomy
TopicsAdvanced Graph Theory Research · semigroups and automata theory · Advanced Algebra and Logic