Minimum cutsets for an element of a boolean lattice
نویسندگان
چکیده
منابع مشابه
Games of Chains and Cutsets in the Boolean Lattice II
B. Bájnok and S. Shahriari proved that in 2, the Boolean lattice of order n, the width (the maximum size of an antichain) of a non-trivial cutset (a collection of subsets that meets every maximal chain and does not contain ∅ or [n]) is at least n− 1. We prove that, for n ≥ 5, in the Boolean lattice of order n, given ⌈n2 ⌉− 1 disjoint long chains, we can enlarge the collection to a cutset of wid...
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ژورنال
عنوان ژورنال: Order
سال: 1989
ISSN: 0167-8094,1572-9273
DOI: 10.1007/bf00341634