Central indices energy of special graphs

Given a graph G with vertex set V (G) = {v۱, v۲, · · · , vn}. Let di be the degree of the vertex vi in G for i = ۱,۲, · · ·, n. We introduce the sum of degrees and the product of degrees matrices of a graph. Furthermore, we consider the central indices matrix as an Arithmetic mean matrix, Geometric mean matrix, and Harmonic mean matrix. The spectral of these matrices has been computed. In this paper, we investigate the central indices energy of some classes of graphs and several results concerning its energy have been obtained.

Keywords:

eigenvalue of a graph , energy , geometric mean energy , arithmetic mean energy , harmonic mean energy