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ENERGY OF NON-COPRIME GRAPH ON MODULO GROUP

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 19 No. 4 (2025) · pp. 2937–2952

DOI
10.30598/barekengvol19iss4pp2937-2952
ISSN
2615-3017, 1978-7227
Published
2025-09-01
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

A graph is a mathematical structure consisting of a non-empty set of vertices and a set of edges connecting these vertices. In recent years, extensive research on graphs has been conducted, with one of the intriguing topics being the representation of graphs within algebraic structures, particularly groups. This approach bridges two areas of mathematics: graph theory and algebra. This study focuses on graph representation, specifically non-coprime graphs in the group of integers modulo ​, where, is a prime number, and is a non-negative integer. The non-coprime graph of a group is defined as a graph with the vertex set, where is the identity element of. Two distinct vertices and are connected by an edge if. Specifically, this research investigates the Sombor energy, the Degree Sum energy, the Degree Exponent Sum energy, the Laplacian energy, the Distance Laplacian energy, and the Distance Signless Laplacian energy of a non-coprime graph on a modulo group.

Collaboration network of the authors

40 authors · 87 co-authorship links · 36 across different organisations

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • University of Mataram
  • Syarif Hidayatullah State Islamic University Jakarta
  • Universiti Teknologi MARA
  • University of Technology Malaysia
  • Universitas Pendidikan Ganesha
  • Vellore Institute of Technology University
  • Bandung Institute of Technology
  • Other organisations
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Qurratul AiniUniversity of Mataram2
Muhammad Naoval HusniUniversity of Mataram2
Ayes Malona SiboroUniversity of Mataram2
Fariz MaulanaUniversity of Mataram2
Hanna SyafitriUniversity of Mataram1
Abdul Gazir SyarifudinBandung Institute of Technology1
Zatta Yumni AwanisAffiliation unknown1
Dewi Santri RamdaniUniversity of Mataram1
Lalu Riski Wirendra PutraUniversity of Mataram1
Zata Yumni AwanisUniversity of Mataram1
Salwa SalwaUniversity of Mataram1
Muhammad AfdhaluzzikriUniversity of Mataram1
Fariz MaulanaUniversity of Mataram1
Hena Rani BiswasUniversity of Barishal1
Sahin Two LestariUniversity of Mataram1
Jimboy Ruben AlbaracinUniversity of the Philippines Cebu1
Miftahurrahman MiftahurrahmanUniversity of Mataram1
Nur Idayu AlimonUniversiti Teknologi MARA1
Nor Haniza SarminUniversity of Technology Malaysia1
Gustina ElfiyantiSyarif Hidayatullah State Islamic University Jakarta1
Mutia Nofita SariSyarif Hidayatullah State Islamic University Jakarta1
Ade CandraSyarif Hidayatullah State Islamic University Jakarta1
Ghazali Semil IsmailUniversiti Teknologi MARA1
Sarwa HitaUniversity of Mataram1
Nguyen Dang Hoa NghiemTrường Đại học Kỹ thuật - Công nghệ Cần Thơ1
Ni Komang Tri DharmayaniUniversity of Mataram1
Putu Kartika DewiUniversitas Pendidikan Ganesha1
I Nengah SupartaUniversitas Pendidikan Ganesha1
Baiq Rika Ayu FebriliaUniversity of Mataram1
M FauzulUniversity of Mataram1
Putri Kurnia ChairunnisaUniversity of Mataram1
Satriawan PradanaUniversity of Mataram1
Rio SatriyantaraUniversity of Mataram1
Na’imah HijriatiLambung Mangkurat University1
Sefti Fajriatul MusyarrofahUniversity of Mataram1
Dimas IndrawadiUniversity of Mataram1
Hazzirah Izzati Mat HassimUniversity of Technology Malaysia1

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 8 Nov 2026.
Original metadata (oai_dc)
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	<dc:title xml:lang="en-US">ENERGY OF NON-COPRIME GRAPH ON MODULO GROUP</dc:title>
	<dc:creator>Karang, Gusti Yogananda</dc:creator>
	<dc:creator>Wisnu Wardhana, I Gede Adhitya</dc:creator>
	<dc:creator>Angamuthu, Manimaran</dc:creator>
	<dc:description xml:lang="en-US">A graph is a mathematical structure consisting of a non-empty set of vertices and a set of edges connecting these vertices. In recent years, extensive research on graphs has been conducted, with one of the intriguing topics being the representation of graphs within algebraic structures, particularly groups. This approach bridges two areas of mathematics: graph theory and algebra. This study focuses on graph representation, specifically non-coprime graphs in the group of integers modulo  ​, where  ,  &amp;nbsp;is a prime number, and  &amp;nbsp;is a non-negative integer. The non-coprime graph of a group  &amp;nbsp;is defined as a graph with the vertex set  , where  &amp;nbsp;is the identity element of  . Two distinct vertices  &amp;nbsp;and  &amp;nbsp;are connected by an edge if  . Specifically, this research investigates the Sombor energy, the Degree Sum energy, the Degree Exponent Sum energy, the Laplacian energy, the Distance Laplacian energy, and the Distance Signless Laplacian energy of a non-coprime graph on a modulo group.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2025-09-01</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/18240</dc:identifier>
	<dc:identifier>10.30598/barekengvol19iss4pp2937-2952</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 19 No 4 (2025): BAREKENG: Journal of Mathematics and Its Application; 2937-2952</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol19iss4year2025</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/18240/11149</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2025 I Gede Adhitya Wisnu Wardhana, Gusti Yogananda Karang, Manimaran Angamuthu</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>