# The conjugacy class graph of some finite groups and its energy

## DOI:

https://doi.org/10.11113/mjfas.v13n4.743## Keywords:

Energy of Graph, Conjugacy Class Graph, Adjacency Matrix And Eigenvalues.## Abstract

The energy of a graph which is denoted by is defined to be the sum of the absolute values of the eigenvalues of its adjacency matrix. In this paper we present the concepts of conjugacy class graph of dihedral groups and introduce the general formula for the energy of the conjugacy class graph of dihedral groups. The energy of any dihedral group of order in different cases, depends on the parity of is proved in this paper. Also we introduce the general formula for the conjugacy class graph of generalized quaternion groups and quasidihedral groups.

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