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Ideal clutters - MaRDI portal

Ideal clutters (Q697573)

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scientific article; zbMATH DE number 1801735
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Ideal clutters
scientific article; zbMATH DE number 1801735

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    Ideal clutters (English)
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    17 September 2002
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    A clutter is a family \(F\) of subsets of a ground set \(V\) with the property that \(A\nsubseteq B\) for all distinct \(A,B\in F\). A clutter is ideal if \[ \bigl\{x\geq 0:x(A)\geq 1\text{ for all }A\in F\bigr\} \] is an integral polyhedron. The authors present the state of the art of the topic and pose open questions.
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    integer programming
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    ideal clutter
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    ideal matrix
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    set covering
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    integer polyhedron
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    width-length inequality
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    max flow min cut probperty
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