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A Unified Approach to Lower Bound on Resolvent Estrada Index and Resolvent Energy of Graphs

Zhongxun Zhu1, Yunchao Hong1, Meiying Jiang1
1College of Mathematics and Statistics, South Central University for Nationalities, Wuhan 430074, P.R. China

Abstract

In this paper, according to the symmetric Lanczos algorithm and general Gauss-type quadrature rule, we give some lower bounds on the Resolvent Estrada index \( EE_r(G) \) and the Resolvent energy \( ER(G) \).

Keywords: Resolvent Estrada index; spectral moment; Resolvent energy AMS subject classification: 05C69, 05C05