Coverings and structure of crossing families (Q1300055)

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scientific article; zbMATH DE number 1332940
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English
Coverings and structure of crossing families
scientific article; zbMATH DE number 1332940

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    Coverings and structure of crossing families (English)
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    5 December 1999
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    Crossing families play a central role in the theory of submodular functions and in connectivity augmentation problems. This paper studies a covering problem of crossing families and their structural representations. The resulting min-max theorem and hypercactus representation make it possible to generalize some recent hypergraph connectivity augmentation results.
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    submodular functions
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    crossing families
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    augmentation of connectivity
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    hypergraphs
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    covering problem
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