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.

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2025-10-20
DOI
https://doi.org/10.1051/ro/2025112/pdf
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
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article

On the second largest Laplacian eigenvalue of trees

Springer Link (Chiba Institute of Technology)
Graph theory and applications
article

On the second largest Laplacian eigenvalue of trees

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.

Springer Link (Chiba Institute of Technology)
Openalex Percentile: Top 51%
Graph theory and applications
DOISourceOpenAlex
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