Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 1997 / Cilt: 46 - Sayı: 1-2
The representation of series-parallel-ordered sets
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 37–48
- DOI
- —
Abstract
In [6] it is shown, that weak orders, a subclass of series prallel posets, are represented by bands. In this paper a representation of series parallel posets is given and it is shown how all weak ordered finite bands can be constructed. We first want to give a construction of CDC's as a set of special n-tuppels of natural numbers. After this we assign to each of these tuppels a rectangular band and show how weak ordered bands can be thus constructed. Moreover all weak ordered bands are constructed in this way.