A new upper bound for the Laplacian spectral radius of graphs

DOI10.1016/j.laa.2004.10.022zbMath1062.05091OpenAlexW2065573411MaRDI QIDQ1779252

Ji-Ming Guo

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.10.022

zbMATH Keywords

Laplacian spectral radiusEigenvector

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (14)

Automated conjectures on upper bounds for the largest Laplacian eigenvalue of graphs ⋮ A note on the upper bounds for the Laplacian spectral radius of graphs ⋮ Bounding the largest eigenvalue of signed graphs ⋮ Sharp upper and lower bounds for the Laplacian spectral radius and the spectral radius of graphs ⋮ Lower bounds for the Laplacian spectral radius of graphs ⋮ Several sharp upper bounds for the largest Laplacian eigenvalue of a graph ⋮ The Laplacian spectral radius of some bipartite graphs ⋮ On upper bounds for Laplacian graph eigenvalues ⋮ Bounds on the index of the signless Laplacian of a graph ⋮ Upper bounds for the largest singular value of certain digraph matrices ⋮ Lower bounds on the (Laplacian) spectral radius of weighted graphs ⋮ A sharp upper bound for the spectral radius of a nonnegative matrix and applications ⋮ Bounds for the Laplacian spectral radius of graphs ⋮ Laplacian spectra of Coprime Graph of finite cyclic and Dihedral groups

Cites Work

• A note on Laplacian graph eigenvalues
• On the Laplacian eigenvalues of a graph
• A new upper bound for eigenvalues of the Laplacian matrix of a graph
• An improved upper bound for Laplacian graph eigenvalues
• On the Laplacian spectral radius of a graph
• A characterization on graphs which achieve the upper bound for the largest Laplacian eigenvalue of graphs.
• Two sharp upper bounds for the Laplacian eigenvalues.
• An always nontrivial upper bound for Laplacian graph eigenvalues
• A sharp upper bound on the largest eigenvalue of the Laplacian matrix of a graph
• Eigenvalues of the Laplacian of a graph^∗
• de Caen's inequality and bounds on the largest Laplacian eigenvalue of a graph

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