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All Journal Fraction: Jurnal Teori dan Terapan Matematika
Ardiyansyah, Dito Utama
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Mathematics

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THE HARARY INDEX AND THE GUTMAN INDEX IN POWER GRAPHS WITHIN GROUPS OF PRIME ORDER IN INTEGER MODULO GROUP Ardiyansyah, Dito Utama; Komarullah, Hafif
Fraction: Jurnal Teori dan Terapan Matematika Vol. 4 No. 1 (2024): Fraction: Jurnal Teori dan Terapan Matematika
Publisher : Jurusan Matematika, Fakultas Teknik, Universitas Bangka Belitung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33019/fraction.v4i1.50

Abstract

This article introduces and defines essential concepts such as the Gutman Index, the Harary Index, and the power graph within the context of integer modulo groups. It highlights Syechan and colleagues' significant contributions and their theorem, demonstrating that the power graph of the integer modulo group becomes a complete graph when the order is prime. Theorems 3.7 and 3.8 further provide formulas for calculating the Harary and Gutman Indices for the power graph of Integer modulo groups, offering valuable insights into the structural properties and connectivity of these mathematical and chemical compounds, ultimately bridging the gap between mathematical theory and practical applications in scientific disciplines.
Co-Authors Hafif Komarullah