Constructions of ranked posets

https://doi.org/10.1016/0012-365X(88)90082-9Get rights and content
Under an Elsevier user license
open archive

Abstract

In this paper a new kind of product of ranked posets, the rankwise direct product is investigated. It is shown that it preserves LYM- and Peck-posets and symmetric chain orders. In the second part a construction of posets from graphs is introduced. This construction results in symmetric chain orders for a class of graphs. Symmetric chain decomposition is given via rankwise direct product.

Cited by (0)

Research (partially) supported by Hungarian National Fundation for Scientific Research grant No. 1812.