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arXiv · 1302.1402

Clique cycle-transversals in distance-hereditary graphs

Andreas Brandstädt·Simone Esposito·Loana Tito Nogueira·Fábio Protti
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Abstract

A cycle-transversal of a graph G is a subset T of V(G) such that T intersects every cycle of G. A clique cycle-transversal, or cct for short, is a cycle-transversal which is a clique. Recognizing graphs which admit a cct can be done in polynomial time; however, no structural characterization of such graphs is known. We characterize distance-hereditary graphs admitting a cct in terms of forbidden induced subgraphs. This extends similar results for chordal graphs and cographs.

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Andreas Brandstädt, Simone Esposito, Loana Tito Nogueira, Fábio Protti. 2013-02-06. Clique cycle-transversals in distance-hereditary graphs. https://arxiv.org/abs/1302.1402

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