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Cutsets of Boolean lattices - MaRDI portal

Cutsets of Boolean lattices (Q1086269)

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scientific article; zbMATH DE number 3983237
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Cutsets of Boolean lattices
scientific article; zbMATH DE number 3983237

    Statements

    Cutsets of Boolean lattices (English)
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    1987
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    If (P,\(\leq)\) is a finite ordered set and \(a\in P\), then \(F\subseteq P\) is a cutset for the element a, if (1) No element of F is comparable with a, (2) Every maximal chain of P intersects \(F\cup \{a\}\). In the article under review, the cardinalities of minimum sized cutsets associated with elements of finite Boolean algebras are determined.
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    finite ordered set
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    maximal chain
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    minimum sized cutsets
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    finite Boolean algebras
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