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Games of Chains and Cutsets in the Boolean Lattice II

✍ Scribed by David Linnan Li; Shahriar Shahriari


Book ID
110310296
Publisher
Springer Netherlands
Year
2001
Tongue
English
Weight
166 KB
Volume
18
Category
Article
ISSN
0167-8094

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On the f-vectors of Cutsets in the Boole
✍ Matthew Haines; Shahriar Shahriari πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 102 KB

A cutset in the poset 2 [n] , of subsets of [1, ..., n] ordered by inclusion, is a subset of 2 [n] that intersects every maximal chain. Let 0 : 1 be a real number. Is it possible to find a cutset in 2 [n] that, for each 0 i n, contains at most : ( n i ) subsets of size i ? Let :(n) be the greatest l