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Constrained Steiner trees in Halin graphs
Guangting Chen, Rainer E. Burkard
Journal:

RAIRO - Operations Research / Volume 37 / Issue 3 / July 2003

Published online by Cambridge University Press:

15 December 2003, pp. 179-194

Print publication:

July 2003
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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.