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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
Nur Idayu Alimon
College of Computing, Informatics and Mathematics, Universiti Teknologi MARA Johor, Malaysia
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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GRAPH ENERGY OF THE COPRIME GRAPH ON GENERALIZED QUATERNION GROUP Miftahurrahman Miftahurrahman; I Gede Adhitya Wisnu Wardhana; Nur Idayu Alimon; Nor Haniza Sarmin
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 1 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss1pp0031-0040

Abstract

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.
Co-Authors I Gede Adhitya Wisnu Wardhana Miftahurrahman Miftahurrahman Nor Haniza Sarmin