• NOTE ON THE BOUNDS FOR THE DEGREE SUM ENERGY OF A GRAPH, DEGREE SUM ENERGY OF A COMMON NEIGHBORHOOD GRAPH AND TERMINAL DISTANCE ENERGY OF A GRAPH

Abstract

Let G be connected graph with n vertices. The concept of degree sum matrix DS(G) of a simple graph G is introduced by H. S. Ramane et.al. [2]. And the degree sum energy E_DS(G) [2] is defined by the sum of the absolute values of eigenvalues of the degree sum matrix DS(G) of G. The degree sum energy of a common neighborhood graph G [4] is defined by the sum of the absolute values of eigenvalues of the degree sum matrix of a common neighborhood graph DS[con(G)]. The terminal distance energy E_T(G) of a graph [3] is defined by the sum of the absolute values of eigenvalues of the terminal distance matrix T(G) of a connected graph G. In this paper we modify upper bounds for the above defined energies.