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- W2039405536 abstract "In the minimum-cost k-hop spanning tree (k-hop MST) problem, we are given a set S of n points in a metric space, a positive small integer k and a root point r∈S. We are interested in computing a rooted spanning tree of minimum cost such that the longest root-leaf path in the tree has at most k edges. We present a polynomial-time approximation scheme for the plane. Our algorithm is based on Arora's et al. [S. Arora, P. Raghavan, S. Rao, Approximation schemes for Euclidean k-medians and related problems, in: STOC'98: Proceedings of the Thirtieth Annual ACM Symposium on Theory of Computing, ACM Press, New York, NY, USA, 1998, pp. 106–113] techniques for the Euclidean k-median problem." @default.
- W2039405536 created "2016-06-24" @default.
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- W2039405536 date "2008-07-01" @default.
- W2039405536 modified "2023-10-14" @default.
- W2039405536 title "Approximating k-hop minimum spanning trees in Euclidean metrics" @default.
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- W2039405536 doi "https://doi.org/10.1016/j.ipl.2008.01.004" @default.
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