刊名:Journal of Mathematical Analysis and Applications
出版年:2017
出版时间:15 March 2017
年:2017
卷:447
期:2
页码:957-970
全文大小:481 K
文摘
Let G be a simple connected graph on n vertices and λ1,λ2,…,λn be the eigenvalues of the adjacency matrix of G. Estrada and Higham proposed an invariant of a graph G based on Taylor series expansion of spectral moments . For (resp. , ), EE(G,c) is the Resolvent energy (resp. Estrada index, Resolvent Estrada index) of G. In and , Gutman et al. conjectured the structure of the extremal members of some classes of graphs by the aid of computer on Resolvent energy and Resolvent Estrada index, respectively. In [1], L. Allem et al. confirmed the validity of some of these conjectures on Resolvent energy. In this paper, we continue to study these indices based on these conjectures.