Distribution of signless Laplacian eigenvalues and graph invariants

Fuente: arXiv
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Autores principales: Xu, Leyou, Zhou, Bo
Formato: Preprint
Publicado: 2023
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author Xu, Leyou
Zhou, Bo
author_facet Xu, Leyou
Zhou, Bo
contents For a simple graph on $n$ vertices, any of its signless Laplacian eigenvalues is in the interval $[0, 2n-2]$. In this paper, we give relationships between the number of signless Laplacian eigenvalues in specific intervals in $[0, 2n-2]$ and graph invariants including matching number and diameter.
format Preprint
id arxiv_https___arxiv_org_abs_2312_04797
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Distribution of signless Laplacian eigenvalues and graph invariants
Xu, Leyou
Zhou, Bo
Combinatorics
For a simple graph on $n$ vertices, any of its signless Laplacian eigenvalues is in the interval $[0, 2n-2]$. In this paper, we give relationships between the number of signless Laplacian eigenvalues in specific intervals in $[0, 2n-2]$ and graph invariants including matching number and diameter.
title Distribution of signless Laplacian eigenvalues and graph invariants
topic Combinatorics
url https://arxiv.org/abs/2312.04797