Weighted Maximum-Clique Transversal Sets of Graphs

Author

Lee, Chuan-Min

Source

ISRN Discrete Mathematics

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-20, 20 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-01-26

Country of Publication

Egypt

No. of Pages

20

Main Subjects

Mathematics

Abstract EN

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, Chang, Kloks, and Lee introduced the concept of maximum-clique transversal sets on graphs in 2001.

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.

American Psychological Association (APA)

Lee, Chuan-Min. 2012. Weighted Maximum-Clique Transversal Sets of Graphs. ISRN Discrete Mathematics،Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-479932

Modern Language Association (MLA)

Lee, Chuan-Min. Weighted Maximum-Clique Transversal Sets of Graphs. ISRN Discrete Mathematics No. 2011 (2011), pp.1-20.
https://search.emarefa.net/detail/BIM-479932

American Medical Association (AMA)

Lee, Chuan-Min. Weighted Maximum-Clique Transversal Sets of Graphs. ISRN Discrete Mathematics. 2012. Vol. 2011, no. 2011, pp.1-20.
https://search.emarefa.net/detail/BIM-479932

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-479932