Generalized Eccentricity Kth Power Sum Energy of Graphs

Abstract

Let G be a finite, simple and undirected graph with  points and  edges. For any integer            1   , generalized eccentricity ^th power sum matrix of G is  a  matrix with its (r,s)^th entry as +  if r ? s and zero otherwise, where e_r is the eccentricity of the ^th vertex of a graph G. In this paper, the new energy of graph  the under the name as generalized eccentricity k^th power sum energy of G (EGE^kS(G)) has been introduced. Generalized eccentricity ^th power sum energy EGE^kS(G) of some standard graphs has been obtained.