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    Approximation Algorithms for Geometric Median Problems

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    LV92.geometric-medians.pdf (196.3Kb)
    Issue Date
    1992
    Author
    Lin, Jyh-Han
    Vitter, Jeffrey Scott
    Publisher
    Elsevier
    Type
    Article
    Article Version
    Scholarly/refereed, author accepted manuscript
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    Abstract
    In this paper we present approximation algorithms for median problems in metric spaces and xed-dimensional Euclidean space. Our algorithms use a new method for transforming an optimal solution of the linear program relaxation of the s-median problem into a provably good integral solution. This transfor- mation technique is fundamentally di erent from the methods of randomized and deterministic rounding [Rag, RaT] and the methods proposed in [LiV] in the following way: Previous techniques never set variables with zero values in the fractional solution to 1. This departure from previous methods is crucial for the success of our algorithms.
    URI
    http://hdl.handle.net/1808/7206
    DOI
    https://doi.org/10.1016/0020-0190(92)90208-D
    Collections
    • Distinguished Professors Scholarly Works [918]
    • Electrical Engineering and Computer Science Scholarly Works [302]
    • Provost Office Published Articles [95]
    Citation
    J.-H. Lin and J. S. Vitter. “Approximation Algorithms for Geometric Median Problems,” Information Processing Letters, 44, 1992, 245–249. http://dx.doi.org/10.1016/0020-0190(92)90208-D

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    Lawrence, KS 66045
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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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