𝔖 Bobbio Scriptorium
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Molecules of a partially ordered set

✍ Scribed by Alexander Abian

Book ID
112760247
Publisher
Springer
Year
1981
Tongue
English
Weight
156 KB
Volume
12
Category
Article
ISSN
0002-5240

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πŸ“œ SIMILAR VOLUMES

Spanning retracts of a partially ordered
Spanning retracts of a partially ordered set
✍ D. Duffus; I. Rival; M. Simonovits πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 639 KB

Two general kinds of subsets of a partially ordered set P are always retracts of P:: (1) every maximal chain of P is a retract; (2) in P, every isometric, spanning subset of length one with no crowns is a retract. It follows that in a partially ordered set P with the fixed point property, every maxi

Average height in a partially ordered se
Average height in a partially ordered set
✍ P. Winkler πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 457 KB

The average height of an element x in a finite poset P is the expected number of elements below x in a random linear extension of P. We prove a number of theorems about average height, some intuitive and some not, using a recent result of L.A. Shepp. Let P be an arbitrary finite poset having n elem