Spectral Properties of Power Graph of Dihedral Groups

Authors : Mamika Ujianita Romdhini; Ashraf Al-Quran; Athirah Nawawi; Faisal Al-Sharqi
article cite 2 Year 2024
source: European Journal of Pure and Applied Mathematics
Abstract

This paper focuses on the power graph of dihedral groups of order $2n$, $D_{2n}$, where $n \geq 3$. We show the characteristic polynomial of the power graph corresponding to the adjacency, Laplacian, signless Laplacian, and normalized form of these matrices.


Concepts :
Finite Group Theory Research
Graph theory and applications
graph theory and CDMA systems
article cite 2 Year 2024 source European Journal of Pure and Applied Mathematics
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2024 2