Quasi-Regular Graphs Associated with Commutative Rings

Autor: Nasr Zeyada, Najat Muthana, Sultanah Al-Rashidi
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of Mathematics, Vol 2022 (2022)
Druh dokumentu: article
ISSN: 2314-4785
60054980
DOI: 10.1155/2022/6209466
Popis: One of the most important branches of mathematics is algebraic graph theory, which solves graph problems with algebraic methods. In graph theory, several algebraic properties of a ring can be represented. In this paper, we define an innovative graph on rings, explore its characteristics, and examine how it relates to other notions in the field. Let S be a ring; the quasi-regular graph of S is a graph with a vertex set of S−0 and any two different vertices w and z are adjacent if 1−wz is a unit in S. We study this graph by providing different examples and proving some crucial characteristics. This study provides important results and paves the way for a lot of different inquiries and studies utilizing this novel approach.
Databáze: Directory of Open Access Journals
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