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An extension of Boolean lattice theory

✍ Scribed by N. V. Subrahmanyam


Publisher
Springer
Year
1963
Tongue
English
Weight
848 KB
Volume
151
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES


Cutsets of Boolean lattices
✍ Richard Nowakowski πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 575 KB

Let a be an element of a finite ordered set P. A subset F of P is a cutset for a if every element of F is incomparable to a and if every maximal chain of P intersects F U {a}. The cardinalities of minimum sized cutsets for elements of finite boolean lattices are determined

Partitions of large Boolean lattices
✍ Zbigniew Lonc πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 482 KB

Let 2" be the ordered set obtained from the Boolean lattice 2" by deleting both the greatest and the least elements. Definef(n) to be the minimum number k such that there is a partition of 2" into k antichains of the same size except for at most one antichain of a smaller size. In the paper we exami