Clique-width and edge contraction
Bruno Courcelle (LaBRI, IUF)
TL;DR
This paper investigates how edge contractions affect the clique-width of graphs, showing that general contractions do not preserve bounded clique-width, unlike specific contractions involving degree-2 vertices.
Contribution
It proves that edge contractions do not generally preserve bounded clique-width, contrasting with contractions involving degree-2 vertices which do preserve it.
Findings
Edge contractions can increase clique-width beyond bounds.
Contractions involving degree-2 vertices preserve bounded clique-width.
Abstract
We prove that edge contractions do not preserve the property that a set of graphs has bounded clique-width. This property is preserved by contractions of edges, one end of which is a vertex of degree 2.
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Taxonomy
TopicsAdvanced Graph Theory Research · Graph theory and applications · Interconnection Networks and Systems