Constrained Steiner trees in Halin graphs
RAIRO - Operations Research - Recherche Opérationnelle, Tome 37 (2003) no. 3, pp. 179-194.

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.

DOI : 10.1051/ro:2003020
Mots-clés : Steiner trees, Halin graph, approximation scheme 
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     author = {Chen, Guangting and Burkard, Rainer E.},
     title = {Constrained {Steiner} trees in {Halin} graphs},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {179--194},
     publisher = {EDP-Sciences},
     volume = {37},
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     doi = {10.1051/ro:2003020},
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Chen, Guangting; Burkard, Rainer E. Constrained Steiner trees in Halin graphs. RAIRO - Operations Research - Recherche Opérationnelle, Tome 37 (2003) no. 3, pp. 179-194. doi : 10.1051/ro:2003020. http://www.numdam.org/articles/10.1051/ro:2003020/

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