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SOME CHEMICAL TOPOLOGICAL INDICES FOR THE COPRIME GRAPH OF THE INTEGERS MODULO GROUP

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 20 No. 2 (2026) · hlm. 0971–0980

DOI
10.30598/barekengvol20iss2pp0971-0980
ISSN
2615-3017, 1978-7227
Terbit
2026-01-26
Penerbit
PATTIMURA UNIVERSITY
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

This paper delves into the exploration of the coprime graph of a finite group G, a graph with vertices representing all group elements. Vertices x and y are considered adjacent in ΓG if their orders are relatively prime. Specifically, our focus lies in determining essential topological indices: the first Zagreb index, the second Zagreb index, and the Wiener index of the coprime graph associated with the group of integers modulo n. The groups under consideration in this study are those of integers modulo n, where n takes the form of prime power and multiplication of two prime powers, with p and q representing distinct prime numbers and r and s representing natural numbers. This investigation aims to provide a comprehensive understanding of the structural and numerical properties of the coprime graph within the context of finite groups, shedding light on the intricate relationships between group elements and their algebraic properties.

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  • University of Mataram
  • Syarif Hidayatullah State Islamic University Jakarta
  • Universiti Teknologi MARA
  • University of Technology Malaysia
  • Universitas Pendidikan Ganesha
  • Bandung Institute of Technology
  • University of Barishal
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Rekan penulisOrganisasiArtikel bersama
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 AwanisAfiliasi tidak diketahui1
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
Gusti Yogananda KarangUniversity of Mataram1
Manimaran AngamuthuVellore Institute of Technology University1
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

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Sumber metadata: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc)
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	<dc:title xml:lang="en-US">SOME CHEMICAL TOPOLOGICAL INDICES FOR THE COPRIME GRAPH OF THE INTEGERS MODULO GROUP</dc:title>
	<dc:creator>Elfiyanti, Gustina</dc:creator>
	<dc:creator>Sari, Mutia Nofita</dc:creator>
	<dc:creator>Wisnu Wardhana, I Gede Adhitya</dc:creator>
	<dc:creator>Candra, Ade</dc:creator>
	<dc:creator>Semil Ismail, Ghazali</dc:creator>
	<dc:description xml:lang="en-US">This paper delves into the exploration of the coprime graph of a finite group G, a graph with vertices representing all group elements. Vertices x and y are considered adjacent in ΓG if their orders are relatively prime. Specifically, our focus lies in determining essential topological indices: the first Zagreb index, the second Zagreb index, and the Wiener index of the coprime graph associated with the group of integers modulo n. The groups under consideration in this study are those of integers modulo n, where n takes the form of prime power and multiplication of two prime powers, with p and q representing distinct prime numbers and r and s representing natural numbers. This investigation aims to provide a comprehensive understanding of the structural and numerical properties of the coprime graph within the context of finite groups, shedding light on the intricate relationships between group elements and their algebraic properties.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2026-01-26</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/18672</dc:identifier>
	<dc:identifier>10.30598/barekengvol20iss2pp0971-0980</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 20 No 2 (2026): BAREKENG: Journal of Mathematics and Its Application; 0971-0980</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol20iss2year2026</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/18672/12451</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2026 Gustina Elfiyanti, Mutia Nofita Sari, I Gede Adhitya Wisnu Wardhana, Ade Candra, Ghazali Semil Ismail</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>