Clique-width and edge contraction

We prove that edge contractions do not preserve the property that a set of graphs has bounded clique-width. •Edge contractions can increase clique-width and rank-width.•Using monadic second-order graph transductions to prove that certain graphs have unbounded clique-width.•An alternative proof is gi...

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Veröffentlicht in:Information processing letters 2014-01, Vol.114 (1-2), p.42-44
1. Verfasser: Courcelle, Bruno
Format: Artikel
Sprache:eng
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Zusammenfassung:We prove that edge contractions do not preserve the property that a set of graphs has bounded clique-width. •Edge contractions can increase clique-width and rank-width.•Using monadic second-order graph transductions to prove that certain graphs have unbounded clique-width.•An alternative proof is given using vertex-minors.•Taking induced topological minors preserves bounded clique-width.
ISSN:0020-0190
1872-6119
DOI:10.1016/j.ipl.2013.09.012