Linear programming based approximation algorithms for feedback set problems in bipartite tournaments

  • Authors:
  • Anke van Zuylen

  • Affiliations:
  • -

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2011

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Abstract

We consider the feedback vertex set and feedback arc set problems on bipartite tournaments. We improve on recent results by giving a 2-approximation algorithm for the feedback vertex set problem. We show that this result is the best that we can attain when using optimal solutions to a certain linear program as a lower bound on the optimal value. For the feedback arc set problem on bipartite tournaments, we show that a recent 4-approximation algorithm proposed by Gupta (2008) [8] is incorrect. We give an alternative 4-approximation algorithm based on an algorithm for the feedback arc set on (non-bipartite) tournaments given by van Zuylen and Williamson (2009) [14].