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.
Mots clés : Steiner trees, Halin graph, approximation scheme
@article{RO_2003__37_3_179_0, 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}, number = {3}, year = {2003}, doi = {10.1051/ro:2003020}, zbl = {1039.05058}, mrnumber = {2034538}, language = {en}, url = {www.numdam.org/item/RO_2003__37_3_179_0/} }
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/item/RO_2003__37_3_179_0/
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