Generalized polymatroids and submodular flows

A. Frank, Éva Tardos

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)489-563
Number of pages75
JournalMathematical Programming, Series B
Volume42
Issue number1-3
DOIs
Publication statusPublished - Apr 1988

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Polymatroid
Combinatorial optimization
Combinatorial Optimization
Matroid
Polyhedron
Framework

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics(all)
  • Safety, Risk, Reliability and Quality
  • Management Science and Operations Research
  • Software
  • Computer Graphics and Computer-Aided Design
  • Computer Science(all)

Cite this

Generalized polymatroids and submodular flows. / Frank, A.; Tardos, Éva.

In: Mathematical Programming, Series B, Vol. 42, No. 1-3, 04.1988, p. 489-563.

Research output: Contribution to journalArticle

Frank, A. ; Tardos, Éva. / Generalized polymatroids and submodular flows. In: Mathematical Programming, Series B. 1988 ; Vol. 42, No. 1-3. pp. 489-563.
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