| Issue |
RAIRO-Oper. Res.
Volume 59, Number 5, September-October 2025
|
|
|---|---|---|
| Page(s) | 3069 - 3077 | |
| DOI | https://doi.org/10.1051/ro/2025112 | |
| Published online | 20 October 2025 | |
On the second largest Laplacian eigenvalue of trees
School of Mathematics, South China University of Technology, Guangzhou 510641, P.R. China
* Corresponding author: linhy99@scut.edu.cn
Received:
22
July
2024
Accepted:
30
July
2025
We determine all trees for which the second largest Laplacian eigenvalue is at most 2 + √3 as well as all trees with exactly one Laplacian eigenvalue exceeding 2 + √3.
Mathematics Subject Classification: 05C50 / 15A18
Key words: Laplacian spectrum / second largest Laplacian eigenvalue / trees
© The authors. Published by EDP Sciences, ROADEF, SMAI 2025
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