Remark on ordinary and randić energy of graphs

Abstract

Let G be an undirected simple graph with n vertices and m edges. Denote with |λ1|≥|≥2|≥· · · ≥|λn| and |ρ1|≥|ρ2|≥· · · ≥|ρn| absolute eigenvalues and Randić eigenvalues of G arranged in non-increasing order, respectively. Upper bound of graph invariant , and lower and upper bounds of invariant are obtained in this paper.