an:06021223
Zbl 1237.05153
Lee, Chuan-Min
Weighted maximum-clique transversal sets of graphs
EN
ISRN Discrete Math. 2011, Article ID 540834, 20 p. (2011).
00297321
2011
j
05C69 68R10
split graphs; balanced graphs; strongly chordal graph; Helly circular-arc graphs; comparability graphs; distance-hereditary graphs; graphs of bounded treewidth
Summary: A maximum-clique transversal set of a graph \(G\) is a subset of vertices intersecting all maximum cliques of \(G\). The maximum-clique transversal set problem is to find a maximum-clique transversal set of \(G\) of minimum cardinality. Motivated by the placement of transmitters for cellular telephones, \textit{M.-S. Chang}, \textit{T. Kloks} and \textit{C.-M. Lee} [Lect. Notes Comput. Sci. 2204, 32--43 (2001; Zbl 1042.68619)] introduced the concept of maximum-clique transversal sets on graphs. In this paper, we study the weighted version of the maximum-clique transversal set problem for split graphs, balanced graphs, strongly chordal graph, Helly circular-arc graphs, comparability graphs, distance-hereditary graphs, and graphs of bounded treewidth.
Zbl 1042.68619