Lower bounds for the energy of graphs

Let G be a finite simple undirected graph with n vertices and m edges. The energy of a graph G, denoted by epsilon(G), is defined as the sum of the absolute values of the eigenvalues of G. In this paper we present lower bounds for epsilon(G) in terms of number of vertices, edges, Randie index, minimum degree, diameter, walk and determinant of the adjacency matrix. Also we show our lower bound in (11) under certain conditions is better than the classical bounds given in Caporossi et al. (1999), Das (2013) and McClelland (1971). (C) 2017 Kalasalingam University. Publishing Services by Elsevier B.V.