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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

33 authors · 79 co-authorship links

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  • Universitas Pendidikan Ganesha
  • Affiliation unknown
  • Different organisations
  • Same organisation
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  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Fariz MaulanaAffiliation unknown3
Lalu Riski Wirendra PutraAffiliation unknown2
Zata Yumni AwanisAffiliation unknown2
Salwa SalwaAffiliation unknown2
Putu Kartika DewiUniversitas Pendidikan Ganesha2
I Nengah SupartaAffiliation unknown2
Baiq Rika Ayu FebriliaAffiliation unknown2
M FauzulAffiliation unknown2
Putri Kurnia ChairunnisaAffiliation unknown2
Dewi Santri RamdaniAffiliation unknown1
Zatta Yumni AwanisAffiliation unknown1
Rian KurniaAffiliation unknown1
Ahmad Muchlas AbrarAffiliation unknown1
Verrel Rievaldo WijayaAffiliation unknown1
Nur Ain SupuAffiliation unknown1
Erma SuwastikaAffiliation unknown1
M. AfdhaluzzikriAffiliation unknown1
Hena Rani BiswasAffiliation unknown1
Sarwa HitaAffiliation unknown1
Nguyen Dang Hoa NghiemAffiliation unknown1
Ni Komang Tri DharmayaniAffiliation unknown1
Satriawan PradanaAffiliation unknown1
Rio SatriyantaraAffiliation unknown1
Na'imah HijriatiAffiliation unknown1
Sefti Fajriatul MusyarrofahAffiliation unknown1
Dimas IndrawadiAffiliation unknown1
Hazzirah Izzati HassimAffiliation unknown1

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">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>