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The Center Location Improvement Problem Under the Hamming Distance

Author

Listed:
  • Binwu Zhang

    (Zhejiang University
    Hohai University)

  • Jianzhong Zhang

    (City University of Hong Kong)

  • Yong He

    (Zhejiang University)

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.

Suggested Citation

  • Binwu Zhang & Jianzhong Zhang & Yong He, 2005. "The Center Location Improvement Problem Under the Hamming Distance," Journal of Combinatorial Optimization, Springer, vol. 9(2), pages 187-198, March.
    • Handle: RePEc:spr:jcomop:v:9:y:2005:i:2:d:10.1007_s10878-005-6856-4
    DOI: 10.1007/s10878-005-6856-4
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    References listed on IDEAS

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    1. Yong He & Binwu Zhang & Enyu Yao, 2005. "Weighted Inverse Minimum Spanning Tree Problems Under Hamming Distance," Journal of Combinatorial Optimization, Springer, vol. 9(1), pages 91-100, February.
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    Citations

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    Cited by:

    1. Longcheng Liu & Jianzhong Zhang, 2006. "Inverse maximum flow problems under the weighted Hamming distance," Journal of Combinatorial Optimization, Springer, vol. 12(4), pages 395-408, December.
    2. Longcheng Liu & Enyu Yao, 2013. "Weighted inverse maximum perfect matching problems under the Hamming distance," Journal of Global Optimization, Springer, vol. 55(3), pages 549-557, March.
    3. Xianyue Li & Xichao Shu & Huijing Huang & Jingjing Bai, 2019. "Capacitated partial inverse maximum spanning tree under the weighted Hamming distance," Journal of Combinatorial Optimization, Springer, vol. 38(4), pages 1005-1018, November.
    4. Binwu Zhang & Jianzhong Zhang & Liqun Qi, 2006. "The shortest path improvement problems under Hamming distance," Journal of Combinatorial Optimization, Springer, vol. 12(4), pages 351-361, December.
    5. Binwu Zhang & Xiucui Guan & Panos M. Pardalos & Chunyuan He, 2018. "An Algorithm for Solving the Shortest Path Improvement Problem on Rooted Trees Under Unit Hamming Distance," Journal of Optimization Theory and Applications, Springer, vol. 178(2), pages 538-559, August.
    6. Jiang, Yiwei & Liu, Longcheng & Wu, Biao & Yao, Enyu, 2010. "Inverse minimum cost flow problems under the weighted Hamming distance," European Journal of Operational Research, Elsevier, vol. 207(1), pages 50-54, November.

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