Lattice automorphism and zero-divisor graphs of lattices

Ülker A.

Numerical Methods for Partial Differential Equations, vol.39, no.5, pp.3561-3571, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 5
  • Publication Date: 2023
  • Doi Number: 10.1002/num.22737
  • Journal Name: Numerical Methods for Partial Differential Equations
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
  • Page Numbers: pp.3561-3571
  • Keywords: automorphism, diameter, lattice, zero-divisor graph
  • Istanbul Kültür University Affiliated: No

Abstract

Let ℒ be a bounded lattice and α : ℒ → ℒ be its automorphism. In this paper, we study zero-divisor graph of ℒ with respect to an automorphism α. It is a simple undirected graph and denoted by Γα(ℒ). Some combinatorial structures such as coloring, diameter and girth were given for Γα(ℒ).