BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications

ON PROPERTIES OF PRIME IDEAL GRAPHS OF COMMUTATIVE RINGS

Rian Kurnia (Mathematics Department, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Indonesia)
Ahmad Muchlas Abrar (Mathematics Department, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Indonesia)
Abdul Gazir Syarifudin (Mathematics Department, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Indonesia)
Verrel Rievaldo Wijaya (Mathematics Department, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Indonesia)
Nur Ain Supu (Mathematics Department, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Indonesia)
Erma Suwastika (Mathematics Department, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Indonesia)

Article Info

Publish Date
30 Sep 2023

Abstract

The prime ideal graph of in a finite commutative ring with unity, denoted by , is a graph with elements of as its vertices and two elements in are adjacent if their product is in . In this paper, we explore some interesting properties of . We determined some properties of such as radius, diameter, degree of vertex, girth, clique number, chromatic number, independence number, and domination number. In addition to these properties, we study dimensions of prime ideal graphs, including metric dimension, local metric dimension, and partition dimension; furthermore, we examined topological indices such as atom bond connectivity index, Balaban index, Szeged index, and edge-Szeged index.

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Journal Info
BAREKENG: Jurnal Ilmu Matematika dan Terapan
Website

Abbrev

barekeng

Publisher

Universitas Pattimura

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...