On the Estrada Index of Seidel Matrix

نویسندگان
Ghorbani, Modjtaba ID 1
Hakimi-Nezhaad, Mardjan ID 2

1 Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran

2 Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran

doi
10.22052/mir.2019.179267.1128
چکیده

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)=‎∑ni=1 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.

کلیدواژه‌ها
Seidel matrix, Seidel eigenvalue, Estrada index