DOAJ Open Access 2025

GRAPH ENERGY OF THE COPRIME GRAPH ON GENERALIZED QUATERNION GROUP

Miftahurrahman Miftahurrahman I Gede Adhitya Wisnu Wardhana Nur Idayu Alimon Nor Haniza Sarmin

Abstrak

This paper investigates the Degree Square Sum Energy , Degree Exponent Energy , and Degree Exponent Sum Energy of the coprime graph on generalized quaternion group . This research is quantitative study using previous study as the literature review to construct the new theorem. These energy methods provide new insights into the spectral properties of graphs by their vertex degree distributions into eigenvalue computations. Using spectral graph theory, the general formulas for the , , and of are formulated for for every positive integer . Furthermore, we explore the implications of these methods in understanding the algebraic and spectral characteristics of . Numerical results are presented for specific cases to validate the previous theorem. This study contributes to the broader analysis of graph energies, offering a framework for studying other algebraic structures.

Topik & Kata Kunci

Probabilities. Mathematical statistics

Penulis (4)

Miftahurrahman Miftahurrahman

I Gede Adhitya Wisnu Wardhana

Nur Idayu Alimon

Nor Haniza Sarmin

Format Sitasi

APA MLA BibTeX

Miftahurrahman, M., Wardhana, I.G.A.W., Alimon, N.I., Sarmin, N.H. (2025). GRAPH ENERGY OF THE COPRIME GRAPH ON GENERALIZED QUATERNION GROUP. https://doi.org/10.30598/barekengvol20iss1pp0031-0040

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.30598/barekengvol20iss1pp0031-0040
Akses: Open Access ✓