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The connected disk covering problem

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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.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, People’s Republic of China

    Yi Xu & Jigen Peng

  2. Beijing Center for Mathematics and Information Interdisciplinary Sciences, Beijing, 100048, People’s Republic of China

    Jigen Peng

  3. State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, 100080, People’s Republic of China

    Wencheng Wang

  4. Gianforte School of Computing, Montana State University, Bozeman, MT, 59717, USA

    Binhai Zhu

Authors
  1. Yi Xu
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  2. Jigen Peng
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  3. Wencheng Wang
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  4. Binhai Zhu
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Correspondence to Yi Xu.

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Xu, Y., Peng, J., Wang, W. et al. The connected disk covering problem. J Comb Optim 35, 538–554 (2018). https://doi.org/10.1007/s10878-017-0195-0

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  • DOI: https://doi.org/10.1007/s10878-017-0195-0

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