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

Published 2 Mar 2015 in cs.DM and math.CO | (1503.00571v1)

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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