| Issue |
RAIRO-Oper. Res.
Volume 57, Number 4, July-August 2023
|
|
|---|---|---|
| Page(s) | 2113 - 2129 | |
| DOI | https://doi.org/10.1051/ro/2023104 | |
| Published online | 08 August 2023 | |
Seidel spectra of some variants of corona operations
1
Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P.R. China
1
Xingzhi College, Zhejiang Normal University, Jinhua, Zhejiang 321004, P.R. China
* Corresponding author: gxtian@zjnu.cn; guixiantian@163.com
Received:
9
October
2021
Accepted:
16
July
2023
The Seidel spectrum of a graph is defined as the multiset of all eigenvalues of its Seidel matrix. Recently, there has been a renewed interest in studying Seidel spectrum of graphs and some achievements have been made in this regard. In this paper, we determine the Seidel spectra of some variants of corona operations, such as edge corona, subdivision-vertex corona, subdivision-vertex neighbourhood corona of two graphs and so on. The corresponding Seidel eigenvectors are also described completely. Applying the obtained results, we give some sufficient and necessary conditions for edge corona, subdivision-vertex corona and subdivision-vertex neighbourhood corona of two graphs to be Seidel integral.
Mathematics Subject Classification: 5C50 / 15A18
Key words: Seidel matrix / graph spectrum / corona operation / integral graph
© The authors. Published by EDP Sciences, ROADEF, SMAI 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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