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Journal of Combinatorial Optimization

, Volume 35, Issue 2, pp 538–554 | Cite as

The connected disk covering problem

  • Yi Xu
  • Jigen Peng
  • Wencheng Wang
  • Binhai Zhu
Article

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.

Keywords

K-center problem Computational geometry Facility location problem Unit disk graphs 

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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsXi’an Jiaotong UniversityXi’anPeople’s Republic of China
  2. 2.Beijing Center for Mathematics and Information Interdisciplinary SciencesBeijingPeople’s Republic of China
  3. 3.State Key Laboratory of Computer Science, Institute of SoftwareChinese Academy of SciencesBeijingPeople’s Republic of China
  4. 4.Gianforte School of ComputingMontana State UniversityBozemanUSA

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