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On the Partial-Terminal Steiner Tree Problem
May 07-May 09
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/I-SPAN.2008.11The International Symposium on Parall ...
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Given a complete graph G = (V,E) with a length (or cost) function c : E ? Q≥ and two proper subsets R ? V and R? ? R, a partial-terminal Steiner tree is a Steiner tree which contains all vertices in R such that all vertices in R? must be leaves. The partial-terminal Steiner tree problem is to find a partial-terminal Steiner tree of the minimum length in G. The previously best-known approximation ratio of the problem is 2ρ, where ρ is the approximation ratio of the Steiner tree problem. In this paper, we improve the ratio from 2ρ to 2ρ − (ρ/3ρ−2) − ?, where ? is some non-negative number.
Index Terms:
The Steiner tree problem, the partial-terminal Steiner tree problem, MAX SNP-hardness, approximation algorithms.
Citation:
Sun-Yuan Hsieh, Wen-Hao Pi, "On the Partial-Terminal Steiner Tree Problem," ispan, pp.173-177, The International Symposium on Parallel Architectures, Algorithms, and Networks (i-span 2008), 2008
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