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

  • Gustina Elfiyanti Departement of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah Jakarta, Indonesia https://orcid.org/0000-0002-0147-6700
  • Mutia Nofita Sari Departement of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah Jakarta, Indonesia https://orcid.org/0009-0008-5771-7068
  • I Gede Adhitya Wisnu Wardhana Departement of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Mataram, Indonesia https://orcid.org/0000-0002-1983-1619
  • Ade Candra Mathematics and Computer Laboratory, Faculty of Sciences and Technology, UIN Syarif Hidayatullah Jakarta, Indonesia https://orcid.org/0009-0001-3855-2797
  • Ghazali Semil Ismail Mathematical Science Studies, College of Computing, Informatics and Mathematics,Universiti Teknologi MARA, Malaysia https://orcid.org/0009-0007-6022-8313
DOI: https://doi.org/10.30598/barekengvol20iss2pp0971–0980
Keywords: Coprime graph, First Zagreb index, Second Zagreb index, Wiener index

Abstract

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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Published
2026-01-26
How to Cite
[1]
G. Elfiyanti, M. N. Sari, I. G. A. Wisnu Wardhana, A. Candra, and G. Semil Ismail, “SOME CHEMICAL TOPOLOGICAL INDICES FOR THE COPRIME GRAPH OF THE INTEGERS MODULO GROUP”, BAREKENG: J. Math. & App., vol. 20, no. 2, pp. 0971–0980, Jan. 2026.
Issue
Vol 20 No 2 (2026): BAREKENG: Journal of Mathematics and Its Application
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Articles

Copyright (c) 2026 Gustina Elfiyanti, Mutia Nofita Sari, I Gede Adhitya Wisnu Wardhana, Ade Candra, Ghazali Semil Ismail

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