PTAS for minimum connected dominating set with routing cost constraint in wireless sensor networks

  • Authors:
  • Hongwei Du;Qiang Ye;Jioafei Zhong;Yuexuan Wang;Wonjun Lee;Haesun Park

  • Affiliations:
  • Dept. of Computer Science and Information Science, University of Prince Edward Island, Canada;Dept. of Computer Science and Information Science, University of Prince Edward Island, Canada;Department of Computer Science, University of Texas at Dallas, Richardson, TX;Institute for Theoretical Computer Science, Tsinghua University, Beijing, P.R. China;Dept. of Computer Science and Engineering, Korea University, Seoul, Republic of Korea;School of Computational Science and Engineering, George Institute of Technology

  • Venue:
  • COCOA'10 Proceedings of the 4th international conference on Combinatorial optimization and applications - Volume Part I
  • Year:
  • 2010

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Abstract

To reduce routing cost and to improve road load balance, we study a problem of minimizing size of connected dominating set D under constraint that for any two nodes u and v, the routing cost through D is within a factor of α from the minimum, the cost of the shortest path between u and v. We show that for α ≥ 5, this problem in unit disk graphs has a polynomial-time approximation scheme, that is, for any ε 0, there is a polynomial-time (1 + ε)-approximation.