On the second largest Laplacian eigenvalue of trees

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.

Authors

Publication Details

Journal
RAIRO. Operations research
Published
2025-08-04
DOI
https://doi.org/10.1051/ro/2025112
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
0.00

Funders

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article

On the second largest Laplacian eigenvalue of trees

Hongying Lin, Hsi‐Tien Chang
RAIRO. Operations research
Graph theory and applications
article

On the second largest Laplacian eigenvalue of trees

Hongying Lin, Hsi‐Tien Chang
article en

Abstract

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.

RAIRO. Operations researchVol. 59(5)
National Natural Science Foundation of China, Basic and Applied Basic Research Foundation of Guangdong Province
Openalex Percentile: Top 75%
Graph theory and applications
DOIOpen Access PDFOpenAlex
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On the second largest Laplacian eigenvalue of trees — Hongying Lin, Hsi‐Tien Chang · RAIRO. Operations research (2025) | TGRS Research Map | TGRS