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Antichain sequences - MaRDI portal

Antichain sequences (Q1070251)

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scientific article; zbMATH DE number 3935096
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Antichain sequences
scientific article; zbMATH DE number 3935096

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    Antichain sequences (English)
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    1985
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    For any finite partially ordered set \({\mathcal S}\) (poset) a dual transportation system of linear inequalities is presented with a bijection from the maximal integer valued solutions of this system onto the ''maximal sequences'' of \(k\) antichains in \({\mathcal S}\). This provides a translation to a dual transportation problem of the problem: find a maximum weight union of \(k\) antichains.
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    finite partially ordered set
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    antichains
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    transportation problem
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