Principal structure of submodular systems and Hitchcock-type independent flows (Q1906849)

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scientific article; zbMATH DE number 837831
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Principal structure of submodular systems and Hitchcock-type independent flows
scientific article; zbMATH DE number 837831

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    Principal structure of submodular systems and Hitchcock-type independent flows (English)
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    30 May 1996
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    The concept of a matroid has been generalized as a submodular system, that is, a pair of a distributive lattice and a submodular function on it. The paper studies properties of the principal structure of such a submoular system and introduces the concept of Hitchcock-type independent flows. ``Previously known results on the principal structures for bipartite matchings, layered mixed matrices and independent matchings can be understood as applications of the present result''.
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    matroid
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    submodular systems
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    Hitchcock-type independent flows
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