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On the lattice of maximum-sized antichains of a finite poset

✍ Scribed by K. M. Koh


Book ID
111960639
Publisher
Springer
Year
1983
Tongue
English
Weight
548 KB
Volume
17
Category
Article
ISSN
0002-5240

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πŸ“œ SIMILAR VOLUMES


Maximum Antichains in Random Subsets of
✍ Deryk Osthus πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 125 KB

We consider the random poset P(n, p) which is generated by first selecting each subset of [n]=[1, ..., n] with probability p and then ordering the selected subsets by inclusion. We give asymptotic estimates of the size of the maximum antichain for arbitrary p= p(n). In particular, we prove that if p