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Multicut in General Graphs

  • Vijay V. Vazirani

Abstract

The importance of min-max relations to combinatorial optimization was mentioned in Chapter 1. Perhaps the most useful of these is the celebrated max-flow min-cut theorem. Indeed, much of flow theory, and the theory of cuts in graphs, has been built around this theorem. It is not surprising, therefore, that a concerted effort was made to obtain generalizations of this theorem to the case of multiple commodities.

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Notes

  1. 103.
    N. Garg, V.V. Vazirani, and M. Yannakakis. Approximate max-flow min(multi)cut theorems and their applications. SIAM Journal on Computing, 25: 235–251, 1996.MathSciNetCrossRefGoogle Scholar
  2. 180.
    P. Klein, S. Rao, A. Agrawal, and R. Ravi. An approximate max-flow min-cut relation for undirected multicommodity flow, with applications. Combinatorica, 15: 187–202, 1995.MathSciNetCrossRefGoogle Scholar
  3. 228.
    M. Pinsker. On the complexity of a concentrator. In Proc. 7th Annual Teletraffic Conference, pages 318/1–318/4, 1973.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Vijay V. Vazirani
    • 1
  1. 1.Georgia Institute of TechnologyCollege of ComputingAtlantaUSA

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