Melola Discovery

← Melola Discovery

Open access Journal SINTA 3

THE HARMONIC INDEX AND THE GUTMAN INDEX OF COPRIME GRAPH OF INTEGER GROUP MODULO WITH ORDER OF PRIME POWER

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 16 No. 3 (2022) · pp. 961–966

DOI
10.30598/barekengvol16iss3pp961-966
ISSN
2615-3017, 1978-7227
Published
2022-09-01
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

In the field of mathematics, there are many branches of study, especially in graph theory, mathematically a graph is a pair of sets, which consists of a non-empty set whose members are called vertices and a set of distinct unordered pairs called edges. One example of a graph from a group is a coprime graph, where a coprime graph is defined as a graph whose vertices are members of a group and two vertices with different x and y are neighbors if only if (|x|,|y|)=1. In this study, the author discusses the Harmonic Index and Gutman Index of Coprime Graph of Integer Group Modulo n. The method used in this research is a literature review and analysis based on patterns formed from several case studies for the value of n. The results obtained from this study are the coprime graph of the group of integers modulo n has the harmonic index of and the Gutman index for where is prime and is a natural number.

Collaboration network of the authors

40 authors · 92 co-authorship links · 31 across different organisations · showing the 40 most connected

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

  • University of Mataram
  • Bandung Institute of Technology
  • Syarif Hidayatullah State Islamic University Jakarta
  • Universiti Teknologi MARA
  • Universitas Pendidikan Ganesha
  • University of Barishal
  • University of the Philippines Cebu
  • 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
Fariz MaulanaUniversity of Mataram2
Lalu Riski Wirendra PutraUniversity of Mataram2
Zata Yumni AwanisUniversity of Mataram2
Salwa SalwaUniversity of Mataram2
Putu Kartika DewiUniversitas Pendidikan Ganesha2
I Nengah SupartaUniversitas Pendidikan Ganesha2
Baiq Rika Ayu FebriliaUniversity of Mataram2
M FauzulUniversity of Mataram2
Putri Kurnia ChairunnisaUniversity of Mataram2
Zatta Yumni AwanisAffiliation unknown1
Dewi Santri RamdaniUniversity of Mataram1
Rian KurniaBandung Institute of Technology1
Ahmad Muchlas AbrarBandung Institute of Technology1
Verrel Rievaldo WijayaBandung Institute of Technology1
Nur Ain SupuBandung Institute of Technology1
Erma SuwastikaBandung Institute of Technology1
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
Gusti Yogananda KarangUniversity of Mataram1
Manimaran AngamuthuVellore Institute of Technology University1
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
Satriawan PradanaUniversity of Mataram1

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)
<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en-US">THE HARMONIC INDEX AND THE GUTMAN INDEX OF COPRIME GRAPH OF INTEGER GROUP MODULO WITH ORDER OF PRIME POWER</dc:title>
	<dc:creator>Husni, Muhammad Naoval</dc:creator>
	<dc:creator>Syafitri, Hanna</dc:creator>
	<dc:creator>Siboro, Ayes Malona</dc:creator>
	<dc:creator>Syarifudin, Abdul Gazir</dc:creator>
	<dc:creator>Aini, Qurratul</dc:creator>
	<dc:creator>Wardhana, I Gede Adhitya Wisnu</dc:creator>
	<dc:description xml:lang="en-US">In the field of mathematics, there are many branches of study, especially in graph theory, mathematically a graph is a pair of sets, which consists of a non-empty set whose members are called vertices and a set of distinct unordered pairs called edges. One example of a graph from a group is a coprime graph, where a coprime graph is defined as a graph whose vertices are members of a group and two vertices with different x and y are neighbors if only if (|x|,|y|)=1. In this study, the author discusses the Harmonic Index and Gutman Index of Coprime Graph of Integer Group Modulo n. The method used in this research is a literature review and analysis based on patterns formed from several case studies for the value of n. The results obtained from this study are the coprime graph of the group of integers modulo n has the harmonic index of  &amp;nbsp;and the Gutman index  &amp;nbsp;for &amp;nbsp;where  &amp;nbsp;is prime and  &amp;nbsp;is a natural number.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2022-09-01</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/6197</dc:identifier>
	<dc:identifier>10.30598/barekengvol16iss3pp961-966</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 16 No 3 (2022): BAREKENG: Journal of Mathematics and Its Applications; 961-966</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol16iss3year2022</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6197/4619</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2022 Muhammad Naoval Husni, Hanna Syafitri, Ayes Malona Siboro, Abdul Gazir Syarifudin, Qurratul Aini, I Gede Adhitya Wisnu Wardhana</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>