Numerical studies of some partial orderings on a set with height at most one

Mohammed  Aljohani; Sami  Lazaar; Abdelwaheb  Mhemdi; Neama  Zidani; Ahmed Aboubakr

doi:10.5269/bspm.75758

Mohammed Aljohani
Sami Lazaar
Abdelwaheb Mhemdi
Neama Zidani
Ahmed Aboubakr Aboubakr

Abstract

Recently, some researchers have introduced several novel classes of partially ordered sets (posets) with a height of at most 1. They studied some of their properties and relationships to Alexandrov topologies. This paper extends their work by enumerating some of these poset classes and illustrating their connections to various established discrete structures through digraph representations.

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