Article ID Journal Published Year Pages File Type
4652010 Electronic Notes in Discrete Mathematics 2013 7 Pages PDF
Abstract

A cycle transversal of a graph G is a subset T⊆V(G) such that T∩V(C)≠∅ for every cycle C 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.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics