ON PROPERTIES OF PRIME IDEAL GRAPHS OF COMMUTATIVE RINGS

Kurnia, Rian; Abrar, Ahmad Muchlas; Syarifudin, Abdul Gazir; Wijaya, Verrel Rievaldo; Supu, Nur Ain; Suwastika, Erma

doi:10.30598/barekengvol17iss3pp1463-1472

Open access Jurnal SINTA 3

ON PROPERTIES OF PRIME IDEAL GRAPHS OF COMMUTATIVE RINGS

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 17 No. 3 (2023) · pp. 1463–1472

DOI: 10.30598/barekengvol17iss3pp1463-1472
ISSN: 2615-3017, 1978-7227
Published: 2023-09-30
Publisher: PATTIMURA UNIVERSITY
Language: eng
License: creativecommons.org/licenses/by-sa/4.0

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.

Collaboration network of the authors

12 authors · 31 co-authorship links

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Co-author	Organisation	Joint articles
Faisal Mandala Siregar Regar	Affiliation unknown	1
Muhammad Naoval Husni	Affiliation unknown	1
Hanna Syafitri	Affiliation unknown	1
Ayes Malona Siboro	Affiliation unknown	1
Qurratul Aini	Affiliation unknown	1
I Gede Adhitya Wisnu Wardhana	Affiliation unknown	1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.

Original metadata (oai_dc)

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	<dc:title xml:lang="en-US">ON PROPERTIES OF PRIME IDEAL GRAPHS OF COMMUTATIVE RINGS</dc:title>
	<dc:creator>Kurnia, Rian</dc:creator>
	<dc:creator>Abrar, Ahmad Muchlas</dc:creator>
	<dc:creator>Syarifudin, Abdul Gazir</dc:creator>
	<dc:creator>Wijaya, Verrel Rievaldo</dc:creator>
	<dc:creator>Supu, Nur Ain</dc:creator>
	<dc:creator>Suwastika, Erma</dc:creator>
	<dc:description xml:lang="en-US">The prime ideal graph of  &amp;nbsp;in a finite commutative ring  &amp;nbsp;with unity, denoted by  , is a graph with elements of  &amp;nbsp;as its vertices and two elements in  &amp;nbsp;are adjacent if their product is in  . In this paper, we explore some interesting properties of  . We determined some properties of  &amp;nbsp;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&amp;nbsp;topological indices such as atom bond connectivity index, Balaban index, Szeged index, and edge-Szeged index.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2023-09-30</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8284</dc:identifier>
	<dc:identifier>10.30598/barekengvol17iss3pp1463-1472</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications; 1463-1472</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol17iss3year2023</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8284/6560</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Rian Kurnia, Ahmad Muchlas Abrar, Abdul Gazir Syarifudin, Verrel Rievaldo Wijaya, Nur Ain Supu, Erma Suwastika</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
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