Linear Programming Based Approximation Algorithms for Feedback Set Problems in Bipartite Tournaments

  • Anke van Zuylen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5532)


We consider the feedback vertex set and feedback arc set problems in 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 we can attain when using a certain linear program as the lower bound on the optimal value. For the feedback arc set problem in bipartite tournaments, we show that a recent 4-approximation algorithm proposed by Gupta [5,6] is incorrect. We give an alternative 4-approximation algorithm based on an algorithm for feedback arc set in (regular) tournaments in [10,11].


Recursive Call Linear Program Relaxation Complementary Slackness Feasible Integer Solution Improve Approximation Algorithm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Anke van Zuylen
    • 1
  1. 1.Institute for Theoretical Computer ScienceTsinghua UniversityBeijingChina

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