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Linear Dependencies among Subsets of a Finite Set

โœ Scribed by Frankl, P.; Singhi, N.M.


Book ID
123573109
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
361 KB
Volume
4
Category
Article
ISSN
0195-6698

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๐Ÿ“œ SIMILAR VOLUMES


Extremal problems among subsets of a set
โœ Paul Erdos; Daniel J. Kleitman ๐Ÿ“‚ Article ๐Ÿ“… 1974 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 945 KB
Maximum Antichains in Random Subsets of
โœ Deryk Osthus ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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