A New Min-Cut Max-Flow Ratio for Multicommodity Flows

  • Oktay Günlük
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2337)


We present an improved bound on the min-cut max-flow ratio for multicommodity flow problems with specified demands. To obtain the numerator of this ratio, capacity of a cut is scaled by the demand that has to cross the cut. In the denominator, the maximum concurrent flow value is used. Our new bound is proportional to log(k*) where k* is the cardinality of the minimal vertex cover of the demand graph.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Oktay Günlük
    • 1
  1. 1.Math. Sci. Dept.IBM ResearchYorktown Heights

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