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All Journal JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Diferensial Jurnal Pengabdian Inovasi Masyarakat Indonesia
Gayatri, Marena Rahayu
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Agriculture, Biological Sciences & Forestry Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Mathematics Public Health Social Sciences Other

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Journal : Jurnal Diferensial

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Bahasa Inggris Syarifudin, Abdul Gazir; Husni, Muhammad Naoval; Gayatri, Marena Rahayu; Santi, Laila Maya; Pangestu, Qori Yusuf
JURNAL DIFERENSIAL Vol 7 No 2 (2025): November 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i2.21421

Abstract

Graph theory is applied to study network structures in various disciplines, such as computer science and discrete mathematics. The combination of graphs and algebra has become a widely discussed topic in research within the fields of algebra and combinatorics. Research on group representations on graphs and topological indices has been extensively conducted, one such example is on the identity graph. A identity graph of a group $G$ which is an ordered pair $V(G)$ and $E(G)$, where all elements of $G$ serve as vertices, and two vertices $x,y \in G$ are adjacent if and only if $x*y=e$. This study proposes an alternative approach to calculating topological indices in the identity graph of the multiplicative group of integers modulo n.
TOPOLOGY INDEX OF THE COPRIME GRAPH FOR DIHEDRAL GROUP OF PRIME POWER ORDER Gayatri, Marena Rahayu; Fadhilah, Rifdah; Lestari, Sahin Two; Pratiwi, Lia Fitta; Abdurahim, Abdurahim; Wardhana, I Gede Adhitya Wisnu
JURNAL DIFERENSIAL Vol 5 No 2 (2023): November 2023
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v5i2.12462

Abstract

In the field of molecular chemistry, graph theory is utilized to represent the structure of a molecule, where the set of nodes corresponds to its chemical elements and the set of edges represents the bonds within the chemical molecule. Graph theory, a mathematical discipline, finds application in various domains, one of which is group representation. This research will delve into the topic of the topological indices of the coprime graph of dihedral groups. The methodology employed involves reviewing several references related to dihedral groups, coprime graphs, and topological indices. This study yields results in the form of Harmonic index, Harary index, first Zagreb index, Gutman index, and Wiener index.
Co-Authors Abdurahim, Abdurahim Fadhilah, Rifdah Febrilia, Baiq Rika Ayu Ghoffari, Lalu Hasan Husni, Muhammad Naoval I Gede Adhitya Wisnu Wardhana Lestari, Sahin Two Nurhabibah Nurhabibah Pangestu, Qori Yusuf Pratiwi, Lia Fitta Putra, Lalu Riski Wirendra Qurratul Aini Salwa Salwa Santi, Laila Maya Zata Yumni Awanis