TY - JOUR
T1 - An improved approximation algorithm for the partial-terminal Steiner tree problem with edge cost 1 or 2
AU - Wei, Chia Chen
AU - Hsieh, Sun Yuan
AU - Lee, Chia Wei
AU - Peng, Sheng Lung
N1 - Publisher Copyright:
© 2015 Elsevier B.V. All rights reserved.
Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2015/11
Y1 - 2015/11
N2 - Given a complete graph G=(V,E) with a metric cost function c:E→R+ and two vertex subsets R⊂V and R′⊆R, a partial-terminal Steiner tree is a Steiner tree which contains all the vertices in R such that all the vertices in R′ are leaves. The partial-terminal Steiner tree problem (PTSTP) is to find a partial-terminal Steiner tree with the minimum cost. The problem has been shown to be NP-hard and MAX SNP-hard, even when the edge costs are restricted in {1,2}, namely, the (1,2)-partial-terminal Steiner tree problem (PTSTP(1,2)). In this paper, we consider PTSTP(1,2). The previous best-known approximation ratio of PTSTP(1,2) was at most 2514. In this paper, we propose a polynomial-time approximation algorithm that improves the approximation ratio from 2514 to 53.
AB - Given a complete graph G=(V,E) with a metric cost function c:E→R+ and two vertex subsets R⊂V and R′⊆R, a partial-terminal Steiner tree is a Steiner tree which contains all the vertices in R such that all the vertices in R′ are leaves. The partial-terminal Steiner tree problem (PTSTP) is to find a partial-terminal Steiner tree with the minimum cost. The problem has been shown to be NP-hard and MAX SNP-hard, even when the edge costs are restricted in {1,2}, namely, the (1,2)-partial-terminal Steiner tree problem (PTSTP(1,2)). In this paper, we consider PTSTP(1,2). The previous best-known approximation ratio of PTSTP(1,2) was at most 2514. In this paper, we propose a polynomial-time approximation algorithm that improves the approximation ratio from 2514 to 53.
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U2 - 10.1016/j.jda.2015.10.003
DO - 10.1016/j.jda.2015.10.003
M3 - Article
AN - SCOPUS:84947715532
VL - 35
SP - 62
EP - 71
JO - Journal of Discrete Algorithms
JF - Journal of Discrete Algorithms
SN - 1570-8667
ER -