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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
Verrel Rievaldo Wijaya
Mathematics Department, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Indonesia
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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ON PROPERTIES OF PRIME IDEAL GRAPHS OF COMMUTATIVE RINGS Rian Kurnia; Ahmad Muchlas Abrar; Abdul Gazir Syarifudin; Verrel Rievaldo Wijaya; Nur Ain Supu; Erma Suwastika
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss3pp1463-1472

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.
Co-Authors Ahmad Muchlas Abrar Erma Suwastika Nur Ain Supu Rian Kurnia