An Improved Randomized Approximation Algorithm for Maximum Triangle Packing

  • Zhi-Zhong Chen
  • Ruka Tanahashi
  • Lusheng Wang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5034)


This paper deals with the maximum triangle packing problem. For this problem, Hassin and Rubinstein gave a randomized polynomial-time approximation algorithm and claimed that it achieves an expected ratio of \(\frac{89}{169}(1 - \epsilon)\) for any constant ε> 0. However, their analysis was flawed. We present a new randomized polynomial-time approximation algorithm for the problem which achieves an expected ratio very close to their claimed expected ratio.




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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Zhi-Zhong Chen
    • 1
  • Ruka Tanahashi
    • 1
  • Lusheng Wang
    • 2
  1. 1.Department of Mathematical SciencesTokyo Denki UniversityHatoyamaJapan
  2. 2.Department of Computer ScienceCity University of Hong KongHong Kong 

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