On the Estrada index of Seidel Matrix

Abstract

Let G be a simple graph with n vertices and with the Seidel matrix S‎. ‎Suppose μ1‎, ‎μ2,..., μn are the Seidel eigenvalues of G‎. ‎The Estrada index of the Seidel matrix of G is defined as SEE(G)=‎sum_{i=1}^{n} eμi‎. ‎In this paper‎, ‎we compute the Estrada index of the Seidel matrix of some known graphs‎. ‎Also‎, ‎some bounds for the Seidel energy of graphs are given‎.