Mathematical Programming

, Volume 42, Issue 1, pp 489–563

Generalized polymatroids and submodular flows

  • András Frank
  • Éva Tardos

DOI: 10.1007/BF01589418

Cite this article as:
Frank, A. & Tardos, É. Mathematical Programming (1988) 42: 489. doi:10.1007/BF01589418


Polyhedra related to matroids and sub- or supermodular functions play a central role in combinatorial optimization. The purpose of this paper is to present a unified treatment of the subject. The structure of generalized polymatroids and submodular flow systems is discussed in detail along with their close interrelation. In addition to providing several applications, we summarize many known results within this general framework.

Copyright information

© The Mathematical Programming Society, Inc. 1988

Authors and Affiliations

  • András Frank
    • 1
  • Éva Tardos
    • 1
  1. 1.Department of Computer ScienceEötvös University Budapest, Mathematical InstituteBudapest VIIIHungary

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