The bandwidth problem for distributive lattices of breadth 3 (Q802635)

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scientific article; zbMATH DE number 4198054
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The bandwidth problem for distributive lattices of breadth 3
scientific article; zbMATH DE number 4198054

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    The bandwidth problem for distributive lattices of breadth 3 (English)
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    1991
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    We give an upper bound for the (ordered version of the) bandwidth of Hasse diagrams of distributive lattices of breadth 3. It is shown that for a distributive lattice L of breadth 3, the bandwidth bw(L) and the width w(L) are related by the inequality \(bw(L)\leq w(L)+1+(w(L)- 1)^{1/2}\).
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    upper bound for the bandwidth of Hasse diagrams of distributive lattices
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    level sets
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