Faster and simpler approximation of stable matchings

  • Authors:
  • Katarzyna Paluch

  • Affiliations:
  • Institute of Computer Science, Wrocław University, Poland

  • Venue:
  • WAOA'11 Proceedings of the 9th international conference on Approximation and Online Algorithms
  • Year:
  • 2011

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Abstract

We give a 3/2-approximation algorithm for stable matchings that runs in O(m) time. The previously best known algorithm by McDermid has the same approximation ratio but runs in O(n3/2m) time, where n denotes the number of people and m is the total length of the preference lists in a given instance. Also the algorithm and the analysis are much simpler. We also give the extension of the algorithm for computing stable many-to-many matchings.