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On Uniformf-vectors of Cutsets in the Truncated Boolean Lattice

✍ Scribed by Béla Bajnok; Shahriar Shahriari

Publisher
Springer-Verlag
Year
2000
Tongue
English
Weight
231 KB
Volume
20
Category
Article
ISSN
0209-9683

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On the f-vectors of Cutsets in the Boole
On the f-vectors of Cutsets in the Boolean Lattice
✍ Matthew Haines; Shahriar Shahriari 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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