Let P be an ordered set. P is said to have the finite cutset property if for every x in P there is a finite set F of elements which are noncomparable to x such that every maximal chain in P meets {x} t.J F. It is well known that this property is equivalent to the space of maximal chains of P being c
โฆ LIBER โฆ
The length, the width and the cutset-number of finite ordered sets
โ Scribed by Mohamed El-Zahar; Norbert Sauer
- Publisher
- Springer Netherlands
- Year
- 1985
- Tongue
- English
- Weight
- 298 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0167-8094
No coin nor oath required. For personal study only.
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## Behrendt, G., The lattice of antichain cutsets of a partially ordered set, Discrete Mathematics 89 (1991) 201-202. Every finite lattice is isomorphic to the lattice of antichain cutsets of a finite partially ordered set whose chains have at most three elements. A subset A of a partially order
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