Retract extensions of ordered sets
β Scribed by N. Kehayopulu; J. S. Ponizovskii; K. P. Shum
- Publisher
- Springer US
- Year
- 2006
- Tongue
- English
- Weight
- 365 KB
- Volume
- 136
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
A linear extension x,x2xs ... of a partially ordered set (X, <) has a bump whenever xi < xi+l. We examine the problem of determining linear extensions with as few bumps as possible. Heuristic algorithms for approximate bump minimization are considered. AhfS (MOS) subject classifications (1980). Prim
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