English

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

Discrete Mathematics 2015-03-03 v1 Combinatorics

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).

Keywords

Cite

@article{arxiv.1503.00571,
  title  = {Well-quasi-ordering does not imply bounded clique-width},
  author = {Vadim Lozin and Igor Razgon and Viktor Zamaraev},
  journal= {arXiv preprint arXiv:1503.00571},
  year   = {2015}
}
R2 v1 2026-06-22T08:41:57.755Z