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The connected disk covering problem

Author

Listed:
  • Yi Xu

    (Xi’an Jiaotong University)

  • Jigen Peng

    (Xi’an Jiaotong University
    Beijing Center for Mathematics and Information Interdisciplinary Sciences)

  • Wencheng Wang

    (Chinese Academy of Sciences)

  • Binhai Zhu

    (Montana State University)

Abstract

Let P be a convex polygon with n vertices. We consider a variation of the K-center problem called the connected disk covering problem (CDCP), i.e., finding K congruent disks centered in P whose union covers P with the smallest possible radius, while a connected graph is generated by the centers of the K disks whose edge length can not exceed the radius. We give a 2.81-approximation algorithm in O(Kn) time.

Suggested Citation

  • Yi Xu & Jigen Peng & Wencheng Wang & Binhai Zhu, 2018. "The connected disk covering problem," Journal of Combinatorial Optimization, Springer, vol. 35(2), pages 538-554, February.
    • Handle: RePEc:spr:jcomop:v:35:y:2018:i:2:d:10.1007_s10878-017-0195-0
    DOI: 10.1007/s10878-017-0195-0
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    References listed on IDEAS

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    1. Hai Du & Yinfeng Xu, 2014. "An approximation algorithm for k-center problem on a convex polygon," Journal of Combinatorial Optimization, Springer, vol. 27(3), pages 504-518, April.
    2. Arindam Karmakar & Sandip Das & Subhas C. Nandy & Binay K. Bhattacharya, 2013. "Some variations on constrained minimum enclosing circle problem," Journal of Combinatorial Optimization, Springer, vol. 25(2), pages 176-190, February.
    3. Dorit S. Hochbaum & David B. Shmoys, 1985. "A Best Possible Heuristic for the k -Center Problem," Mathematics of Operations Research, INFORMS, vol. 10(2), pages 180-184, May.
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    Cited by:

    1. Hu, Xiaoxuan & Zhu, Waiming & Ma, Huawei & An, Bo & Zhi, Yanling & Wu, Yi, 2021. "Orientational variable-length strip covering problem: A branch-and-price-based algorithm," European Journal of Operational Research, Elsevier, vol. 289(1), pages 254-269.

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