TY - JOUR
ID - 109846
TI - Pseudospectrum Energy of Graphs
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Shelash, Hahder
AU - Shukur, Ali
AD - Faculty of Computer Science and Mathematics, University of Kufa, Najaf, Iraq
AD - Faculty of Mechanics and Mathematics, Belarusian State University, Minsk, Belarus
Y1 - 2020
PY - 2020
VL - 11
IS - 2
SP - 83
EP - 93
KW - energy of graph
KW - resolvent
KW - resolvent energy of graph
KW - pseu- dospectrum
DO - 10.22052/ijmc.2020.221182.1488
N2 - 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.
UR - https://ijmc.kashanu.ac.ir/article_109846.html
L1 - https://ijmc.kashanu.ac.ir/article_109846_ffd2d02d93001914f9a1577b7f1fe61b.pdf
ER -