A note on eigenvalue, spectral radius and energy of extended adjacency matrix

被引：8
作者：
Ghorbani, Modjtaba [1 ]
Amraei, Najaf [1 ]
机构：
[1] Shahid Rajaee Teacher Training Univ, Fac Sci, Dept Math, Tehran 16785163, Iran
来源：
DISCRETE APPLIED MATHEMATICS | 2022年 / 322卷
关键词：
Extended adjacency matrix; Graph eigenvalue; Graph energy; Spectral spread; MOLECULAR-ORBITALS; GRAPH-THEORY; BOUNDS;
D O I：
10.1016/j.dam.2022.07.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The extended adjacency matrix of a graph has been introduced to expand some beneficial molecular topological indices. In the present work, the spectra of certain classes of vertex or edge-transitive graphs are investigated. Also, we study some spectral properties of extended adjacency matrix. Besides, we study the spectral Aex-spread of a graph. In this way, we explore some new bounds for both the smallest and the largest eigenvalues. Finally, we persue the behaviour of Aex-energy of a graph. (c) 2022 Published by Elsevier B.V.
引用
收藏
页码：102 / 116
页数：15
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