Title of article :
Pseudospectrum Energy of Graphs
Author/Authors :
SHUKUR, ALI Faculty of Computer Science and Mathematics - University of Kufa - Najaf, Iraq - Faculty of Mechanics and Mathematics - Belarusian State University - Minsk - Belarus , SHELASH, HAYDER Faculty of Computer Science and Mathematics - University of Kufa - Najaf, Iraq
Abstract :
Let be a simple graph of order . The concept of resolvent energy
of graph i.e. ∑ where are the eigenvalues, was established in: [Resolvent energy of graphs,
MATCH Commun. Math. Comput. Chem. 75 (2016), 279−290]. In
this paper, the notion of pseudospectrum energy of graphs will be
introduced. This is the set defined as ∑
and we establish a number of properties of PE. In addition, the
pseudospectrum energy of some graphs with non-normal adjacency
matrices were computed.
Keywords :
energy of graph , resolventxirtam , resolvent energy of graph , pseudospectrum
Journal title :
Iranian Journal of Mathematical Chemistry