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Constrained Steiner trees in Halin graphs

Published online by Cambridge University Press:  15 December 2003

Guangting Chen  and
Rainer E. Burkard
Guangting Chen
Affiliation:
The School of Science, Hangzhou Institute of Electronics Engineering, Hangzhou 310037, P.R. China; [email protected].
Rainer E. Burkard
Affiliation:
Technische Universität Graz, Institut für Mathematik, Steyrergasse 30, A-8010 Graz, Austria; [email protected].
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Abstract

In this paper, we study the problem of computing a minimum cost Steiner tree subject to a weight constraint in a Halin graph where each edge has a nonnegative integer cost and a nonnegative integer weight. We prove the NP-hardness of this problem and present a fully polynomial time approximation scheme for this NP-hard problem.

Keywords

Steiner treesHalin graphapproximation scheme.
Type
Research Article
Information
RAIRO - Operations Research , Volume 37 , Issue 3 , July 2003 , pp. 179 - 194
Copyright
© EDP Sciences, 2003

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