Optimization Letters

, Volume 4, Issue 3, pp 383–392 | Cite as

Minimum average routing path clustering problem in multi-hop 2-D underwater sensor networks

  • Donghyun KimEmail author
  • Wei Wang
  • Ling Ding
  • Jihwan Lim
  • Heekuck Oh
  • Weili Wu
Original Paper


In this paper, we introduce a new clustering problem in underwater sensor networks, namely minimum average routing path clustering problem (MARPCP). To deal with the high complexity of MARPCP, we relax it to a special case of minimum weight dominating set problem (MWDSP). We show an existing algorithm for MWDSP can produce an approximate solution for MARPCP. Also, we design a constant factor approximation algorithm for MARPCP, which is much faster than the first method.


Approximation algorithm Graph theory Wireless network clustering Underwater sensor networks 


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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  • Donghyun Kim
    • 1
    Email author
  • Wei Wang
    • 2
  • Ling Ding
    • 1
  • Jihwan Lim
    • 3
  • Heekuck Oh
    • 3
  • Weili Wu
    • 1
  1. 1.Department of Computer ScienceUniversity of Texas at DallasRichardsonUSA
  2. 2.Department of MathematicsXi’an Jiaotong UniversityXi’anPeople’s Republic of China
  3. 3.Department of Computer Science and EngineeringHanyang UniversityAnsan, GyeonggiRepublic of Korea

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