Numerical Studies of Some Partial Orderings on a Set With Height at Most One

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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.

Original languageEnglish
JournalBoletim da Sociedade Paranaense de Matematica
Volume43
DOIs
StatePublished - 16 Jan 2025

Keywords

  • 05A10
  • 06A05
  • 06A06
  • 54F05
  • Alexandroff topology
  • Krul dimension
  • Partial Ordered sets
  • Whyburn spaces
  • combinatorial functions
  • submaximal spaces

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