Spectral Properties of Coprime Graphs for Dihedral Groups
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i3.6319Keywords:
Coprime graph, Dihedral Groups, Spectral radius, Energy of a graphAbstract
For a finite group G, the coprime graph ΓG of G is defined as the graph with vertex set G, the group itself, and two distinct vertices u, v in ΓG are adjacent if and only if gcd(|u|, |v|) = 1, where |u| is the order of u. This study analyzes the characteristic polynomial of matrices for the dihedral group of order 2n, where n is a power of a prime number. In addition, this paper examines the characteristic polynomial of the matrices for a power of a prime number n. The energy of the graph is also obtained.
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Copyright (c) 2025 Mamika Ujianita Romdhini, Abdurahim, Andika Ellena Saufika Hakim Maharani
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