ISSN 1234-3099 (print version)

ISSN 2083-5892 (electronic version)

Discussiones Mathematicae Graph Theory

IMPACT FACTOR 2019: 0.755

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Discussiones Mathematicae Graph Theory


Discussiones Mathematicae Graph Theory 25(1-2) (2005) 7-12
DOI: 10.7151/dmgt.1254


Frank Göring

Department of Mathematics
Chemnitz University of Technology
D-09107 Chemnitz, Germany

Jochen Harant

Department of Mathematics
Technical University of Ilmenau
D-98684 Ilmenau, Germany


For a finite undirected graph G on n vertices two continuous optimization problems taken over the n-dimensional cube are presented and it is proved that their optimum values equal the domination number γ of G. An efficient approximation method is developed and known upper bounds on γ are slightly improved.

Keywords: graph, domination.

2000 Mathematics Subject Classification: 05C69.


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Received 23 September 2003
Revised 15 June 2004