A simpler linear time 2/3 - ε approximation for maximum weight matching

  • Authors:
  • Seth Pettie;Peter Sanders

  • Affiliations:
  • Max Planck Institut für Informatik, Stuhlsatzenhausweg 85, 66123 Saarbrücken, Germany;Max Planck Institut für Informatik, Stuhlsatzenhausweg 85, 66123 Saarbrücken, Germany

  • Venue:
  • Information Processing Letters
  • Year:
  • 2004

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Abstract

We present two 2/3 - ε approximation algorithms for the maximum weight matching problem that run in time O(m log 1ε;). We give a simple and practical randomized algorithm and a somewhat more complicated deterministic algorithm. Both algorithms are exponentially faster in terms of ε than a recent algorithm by Drake and Hougardy. We also show that our algorithms can be generalized to find a 1 - ε approximation to the maximum weight matching, for any ε 0.