A complete classification of perfect unitary Cayley graphs

Galois Journal of Algebra 2026 Open access

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Authors: Ján Mináč, Tung T. Nguyen, Duy Tan Nguyen
DOI: 10.65908/gja.2026.25048
Cited by: 0

Abstract

Due to their elegant and simple nature, unitary Cayley graphs have been an active research topic in the literature. These graphs are naturally connected to several branches of mathematics, including number theory, finite algebra, representation theory, and graph theory. In this article, we study the perfectness property of these graphs. More precisely, we provide a complete classification of perfect unitary Cayley graphs associated with finite rings.

Fields of Study & Subjects

graph theory and CDMA systems Graph theory and applications Advanced Graph Theory Research

Publication details

Journal / source
Galois Journal of Algebra
Publisher
Interaction Scientifique
Volume
2
Issue
1
Pages
50-58
Publication date
1 March 2026
Language
EN