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Faisal Al-Sharqi
Department of Mathematics, College of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, 55431, Iraq
Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Environmental Science Materials Science & Nanotechnology Physics

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On the Spectral Characterization of Prime Coprime Graphs Associated with Dihedral Groups Mamika Ujianita Romdhini; Abdurahim; Adem Kilicman; Dragan Pamucar; Faisal Al-Sharqi; Ifan Hasnan Dani; Marliadi Susanto
Science and Technology Indonesia Vol. 11 No. 4 (2026): October
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/sti.2026.11.4.1516-1523

Abstract

Spectral graph theory and group theory help reveal how the structure of graphs shapes their mathematical properties. This research aims to analyze the spectral descriptors of the prime coprime graph of a dihedral group associated with the Laplacian, normalized Laplacian, and Seidel matrices. We also establish a method for determining the eigenvalues of these matrices. The results show that the Laplacian, signless Laplacian, and normalized Laplacian energies of the obtained graph are always even integers, whereas the adjacency and Seidel energies are never odd integers. These findings are consistent with previous studies and further strengthen the role of spectral descriptors in understanding algebraicgraph structures.
Co-Authors Abdurahim Adem Kilicman Dragan Pamucar Ifan Hasnan Dani Mamika Ujianita Romdhini Marliadi Susanto