Generalized polymatroids and submodular flows (Q1116889)

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scientific article; zbMATH DE number 4089330
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Generalized polymatroids and submodular flows
scientific article; zbMATH DE number 4089330

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    Generalized polymatroids and submodular flows (English)
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    1988
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    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.
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    truncation
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    bi-truncation
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    greedy algorithm
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    facets
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    total dual integrality
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    Polyhedra
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    matroids
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    supermodular functions
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    generalized polymatroids
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    submodular flow systems
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