Bounding the sum of the largest signless Laplacian eigenvalues of a graph

Aida Abiad; Leonardo de Lima; Sina Kalantarzadeh; Mona Mohammadi; Carla Oliveira

doi:10.1016/j.dam.2023.07.016

Bounding the sum of the largest signless Laplacian eigenvalues of a graph

Aida Abiad, Leonardo de Lima, Sina Kalantarzadeh, Mona Mohammadi, Carla Oliveira (Corresponding author)

Algebraic Combinatorics

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

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We show several sharp upper and lower bounds for the sum of the largest eigenvalues of the signless Laplacian matrix. These bounds improve and extend previously known bounds.

Originele taal-2	Engels
Pagina's (van-tot)	315-326
Aantal pagina's	12
Tijdschrift	Discrete Applied Mathematics
Volume	340
DOI's	https://doi.org/10.1016/j.dam.2023.07.016
Status	Gepubliceerd - 15 dec. 2023

Financiering

The research of Aida Abiad is partially supported by the FWO, Belgium grant 1285921N . Leonardo de Lima has been supported by CNPq, Brazil Grant 315739/2021-5 , and Carla Oliveira has also been supported by CNPq, Brazil Grant 30458/2020-0 . The authors thank Ali Mohammadian for his valuable comments on Section 3 .

Financiers	Financiernummer
Fonds Wetenschappelijk Onderzoek	1285921N

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title = "Bounding the sum of the largest signless Laplacian eigenvalues of a graph",

abstract = "We show several sharp upper and lower bounds for the sum of the largest eigenvalues of the signless Laplacian matrix. These bounds improve and extend previously known bounds.",

keywords = "Interlacing, Signless Laplacian matrix, Sum of eigenvalues",

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AU - Lima, Leonardo de

AU - Kalantarzadeh, Sina

AU - Mohammadi, Mona

AU - Oliveira, Carla

PY - 2023/12/15

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AB - We show several sharp upper and lower bounds for the sum of the largest eigenvalues of the signless Laplacian matrix. These bounds improve and extend previously known bounds.

KW - Interlacing

KW - Signless Laplacian matrix

KW - Sum of eigenvalues

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Bounding the sum of the largest signless Laplacian eigenvalues of a graph

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