The maximal length of cloud-antichains (Q1332440)
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scientific article; zbMATH DE number 626358
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The maximal length of cloud-antichains |
scientific article; zbMATH DE number 626358 |
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The maximal length of cloud-antichains (English)
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13 June 1995
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The notion of an antichain of a partially ordered set can be generalized to that of cloud-antichain, where subsets take the role of incomparable elements. In fact, there are six possibilities to define cloud- antichains. The authors study especially cloud-antichains of the power set of the set \(\{1,2,\dots, n\}\) that is partially ordered by inclusion. They give asymptotically maximal lengths of cloud-antichains for all six cases. For three of them, they give exact results.
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maximal length
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partially ordered set
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cloud-antichain
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