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 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 0020-0190 1872-6119 |
DOI: | 10.1016/j.ipl.2013.09.012 |