Constraints on Brouwer's Laplacian spectrum conjecture

DOI10.1016/j.laa.2020.12.028zbMath1459.05167arXiv2003.03447OpenAlexW3115963447WikidataQ113869477 ScholiaQ113869477MaRDI QIDQ2229507

Joshua N. Cooper

Publication date: 17 February 2021

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.03447

zbMATH Keywords

Laplacian spectrumsigned graphsBrouwer's conjectureKy Fan norm

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Signed and weighted graphs (05C22)

Related Items

On the full Brouwer's Laplacian spectrum conjecture, On Schatten \(p\)-norm of the distance matrices of graphs

Cites Work

• Unnamed Item
• Spectral threshold dominance, Brouwer's conjecture and maximality of Laplacian energy
• On the sum of signless Laplacian eigenvalues of a graph
• Upper bounds for the sum of Laplacian eigenvalues of graphs
• Spectra of graphs
• Beyond graph energy: norms of graphs and matrices
• On the sum of Laplacian eigenvalues of graphs
• The splittance of a graph
• Further developments on Brouwer's conjecture for the sum of Laplacian eigenvalues of graphs
• On Brouwer's conjecture for the sum of \(k\) largest Laplacian eigenvalues of graphs
• The Grone-Merris Conjecture
• Note on a conjecture for the sum of signless Laplacian eigenvalues