On the extremal values of the second largest \(Q\)-eigenvalue
type: Item
instance of: scholarly article
title: On the extremal values of the second largest \(Q\)-eigenvalue
zbMATH Open document ID: 1222.05146
author: Mustapha Aouchiche
author: Pierre Hansen
author: Claire Lucas
published in: Linear Algebra and its Applications
publication date: 2011-07-13T00:00:00Z
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 05C35
zbMATH DE Number: 5919601
zbMATH Keywords: signless Laplacian
zbMATH Keywords: second largest eigenvalue
zbMATH Keywords: critical graph
zbMATH Keywords: extremal graph
describes a project that uses: AutoGraphiX
MaRDI profile type: Publication
full work available at URL: j.laa.2011.03.051
OpenAlex ID: W2017826398
cites work: Q5492533
cites work: Variable neighborhood search for extremal graphs. 20. Automated comparison of graph invariants
cites work: Variable neighborhood search for extremal graphs. I: The AutoGraphiX system
cites work: Variable neighborhood search for extremal graphs. V: Three ways to automate finding conjectures
cites work: A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph
cites work: Properties of spectra of graphs and line graphs
cites work: Q3649304
cites work: Q3672019
cites work: Signless Laplacians of finite graphs
cites work: Eigenvalue bounds for the signless laplacian
cites work: Towards a spectral theory of graphs based on the signless Laplacian, I
cites work: Towards a spectral theory of graphs based on the signless Laplacian. II.
cites work: Towards a spectral theory of graphs based on the signless Laplacian, III
cites work: On graphs whose second largest eigenvalue does not exceed \((\sqrt {5}-1)/2\)
cites work: On conjectures involving second largest signless Laplacian eigenvalue of graphs
cites work: On three conjectures involving the signless Laplacian spectral radius of graphs
cites work: On bicyclic graphs whose second largest eigenvalue does not exceed 1
cites work: A note on Laplacian graph eigenvalues
cites work: Bounds on the index of the signless Laplacian of a graph
cites work: On the second largest eigenvalue of line graphs
cites work: Q4658076
cites work: On the two largest \(Q\)-eigenvalues of graphs
cites work: On unicyclic graphs whose second largest eigenvalue does not exceed 1
DOI: 10.1016/J.LAA.2011.03.051
Recommended article: Minimum values of the second largest \(Q\)-eigenvalue
Recommended article: On the second largest distance eigenvalue
Recommended article: Upper bounds for the second largest eigenvalue of symmetric nonnegative matrices
Recommended article: On the second largest eigenvalue of the signless Laplacian
Recommended article: On the second largest eigenvalue of line graphs
Recommended article: Eigenvalues in the large sieve inequality. II
Recommended article: On the two largest \(Q\)-eigenvalues of graphs
Recommended article: Q4005824
Recommended article: Bounds for the second largest eigenvalue of a transition matrix
Recommended article: Notes on the second largest eigenvalue of a graph
description: scientific article; zbMATH DE number 5919601