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arxiv: 1503.00571 · v1 · pith:7S5EEENHnew · submitted 2015-03-02 · 💻 cs.DM · math.CO

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

classification 💻 cs.DM math.CO
keywords clique-widthansweraskedboundedclassdaligaultfunctionsgraphs
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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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