Abstmct# A decomposition is given for fini\*.e ordered sets P and is shown to bc a unique decomposition in the sense of Brylawski. Hence there exists a universal invariant g(P) for this decomposition, and we c(Dmpute g(P) explicitly. Some modifications of this decomposition are considered; in partic
A separation decomposition for orders
✍ Scribed by Thomas Kämpke
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 728 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0028-3045
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✦ Synopsis
Abstract
Several decomposition types of orders and related discrete structures have been investigated so far. In this paper, we present a decomposition for orders based on partial “ignoring” of the order. Structures that are in a certain sense “prime” turn out to be decomposable. The relation to other decomposition methods is analyzed. Bounds for activity networks and reliability functions are obtained. © 1994 by John Wiley & Sons, Inc.
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