%0 Journal Article
%T Pseudospectrum Energy of Graphs
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Shelash, Hahder
%A Shukur, Ali
%D 2020
%\ 07/01/2020
%V 11
%N 2
%P 83-93
%! Pseudospectrum Energy of Graphs
%K energy of graph
%K resolvent
%K resolvent energy of graph
%K pseu- dospectrum
%R 10.22052/ijmc.2020.221182.1488
%X Let G be a simple graph of order N, the concept of resol-vent energy of graph G; i.e. ER(G)=\sum_{i=1}^N (N - λi)^{-1} was established in Resolvent Energy of Graphs, MATCH commun. Math. comput. chem., 75 (2016), 279-290. In this paper we study the set of resol-vents energies of graph G which it is called pseudospectrum energy of graph PS(G). For large value resolvent energy of graph ER(G) and real eigenvalues, we establish a number of properties of PS(G): For complex eigenvalues, some examples of PS(G) are given.
%U https://ijmc.kashanu.ac.ir/article_109846_ffd2d02d93001914f9a1577b7f1fe61b.pdf