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arXiv · 1907.00234

Most Laplacian eigenvalues of a tree are small

David P. Jacobs·Elismar R. Oliveira·Vilmar Trevisan
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Abstract

We show that the number of Laplacian eigenvalues greater than the average degree of a tree having $n$ vertices is at most $\lfloor\frac{n}{2} \rfloor$.

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David P. Jacobs, Elismar R. Oliveira, Vilmar Trevisan. 2020-08-04. Most Laplacian eigenvalues of a tree are small. https://arxiv.org/abs/1907.00234

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