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arXiv · 1503.00571

Well-quasi-ordering does not imply bounded clique-width

Vadim Lozin·Igor Razgon·Viktor Zamaraev
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Abstract

We present a hereditary class of graphs of unbounded clique-width which is well-quasi-ordered by the induced subgraph relation. This result provides a negative answer to the question asked by Daligault, Rao and Thomass\'e in ("Well-quasi-order of relabel functions", Order, 27(3):301--315, 2010).

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Vadim Lozin, Igor Razgon, Viktor Zamaraev. 2015-03-02. Well-quasi-ordering does not imply bounded clique-width. https://arxiv.org/abs/1503.00571

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