An approximation algorithm for maximum triangle packing

  • Authors:
  • Refael Hassin;Shlomi Rubinstein

  • Affiliations:
  • Department of Statistics and Operations Research, Tel Aviv University, 69978 Tel Aviv, Israel;Department of Statistics and Operations Research, Tel Aviv University, 69978 Tel Aviv, Israel

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2006

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Abstract

We present a randomized (89169-@e)-approximation algorithm for the weighted maximum triangle packing problem, for any given @e0. This is the first algorithm for this problem whose performance guarantee is better than 12. The algorithm also improves the best-known approximation bound for the maximum 2-edge path packing problem.