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The Center Location Improvement Problem Under the Hamming Distance

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Abstract

In this paper, we consider the center location improvement problems under the sum-type and bottleneck-type Hamming distance. For the sum-type problem, we show that achieving an algorithm with a worst-case ratio of O(log |V|) is NP-hard, and for the bottleneck-type problem, we present a strongly polynomial algorithm.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China

    Binwu Zhang & Yong He

  2. Department of Mathematics and Physics, Hohai University, Changzhou Campus, Changzhou, 213022, China

    Binwu Zhang

  3. Department of Mathematics, City University of Hong Kong, Hong Kong, China

    Jianzhong Zhang

Authors
  1. Binwu Zhang
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  2. Jianzhong Zhang
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  3. Yong He
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Correspondence to Jianzhong Zhang.

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Zhang, B., Zhang, J. & He, Y. The Center Location Improvement Problem Under the Hamming Distance. J Comb Optim 9, 187–198 (2005). https://doi.org/10.1007/s10878-005-6856-4

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  • DOI: https://doi.org/10.1007/s10878-005-6856-4

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