An upper bound for the size of the largest antichain in the poset of partitions of an integer (Q1302155)
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scientific article; zbMATH DE number 1340634
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An upper bound for the size of the largest antichain in the poset of partitions of an integer |
scientific article; zbMATH DE number 1340634 |
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An upper bound for the size of the largest antichain in the poset of partitions of an integer (English)
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12 December 1999
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This nice and interesting paper proves a new and sharp upper bound for the ratio of the size of the largest antichain and the size of the largest level in graded posets with at least 12 elements. Furthermore it gives an (asymptotical) upper bound for the same ratio in the partition lattice of an integer.
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partition lattice
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partitions of an integer
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Sperner theorem
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upper bound
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size of the largest antichain
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size of the largest level in graded posets
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