图的伪谱能

IF 1 Q4 CHEMISTRY, MULTIDISCIPLINARY

Iranian journal of mathematical chemistry Pub Date : 2020-07-01 DOI:10.22052/IJMC.2020.221182.1488

Hahder Shelash, Ali A. Shukur

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引用次数: 2

摘要

设G为N阶的简单图，图G的解析能量的概念;在图的可解能量，MATCH common中建立了ER(G)=sum_{i=1}^N (N - λi)^{-1}。数学。第一版。化学。， 75(2016)， 279-290。本文研究了图G的分辨能量集，称为图PS(G)的伪谱能量。对于图ER(G)和实特征值的大解能，我们建立了PS(G)的若干性质;对于复特征值，我们给出了PS(G)的一些例子。

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Pseudospectrum Energy of Graphs

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.

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来源期刊

Iranian journal of mathematical chemistry CHEMISTRY, MULTIDISCIPLINARY-

CiteScore

2.10

自引率

7.70%

发文量