Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709202 | Applied Mathematics Letters | 2011 | 4 Pages |
Abstract
A clique-transversal set DD of a graph GG is a set of vertices of GG such that DD meets all cliques of GG. The clique-transversal number , denoted by τC(G)τC(G), is the minimum cardinality of a clique-transversal set in GG. In 2008, we showed that the clique-transversal number of every claw-free cubic graph is bounded above by half of its order. In this note we characterize claw-free cubic graphs which attain the upper bound.
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Authors
Erfang Shan, Haichao Wang,