Approximate Min-max Relations for Odd Cycles in Planar Graphs

  • Samuel Fiorini
  • Nadia Hardy
  • Bruce Reed
  • Adrian Vetta
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3509)


We study the ratio between the minimum size of an odd cycle vertex transversal and the maximum size of a collection of vertex-disjoint odd cycles in a planar graph. We show that this ratio is at most 10. For the corresponding edge version of this problem, Král and Voss [7] recently proved that this ratio is at most 2; we also give a short proof of their result.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Samuel Fiorini
    • 1
    • 2
  • Nadia Hardy
    • 3
  • Bruce Reed
    • 3
  • Adrian Vetta
    • 3
  1. 1.GERADMontreal, QuebecCanada
  2. 2.Université Libre de BruxellesBrusselsBelgium
  3. 3.McGill UniversityMontreal, QuebecCanada

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