On upper bounds for Laplacian graph eigenvalues

DOI10.1016/j.laa.2009.12.013zbMath1201.05062OpenAlexW2026774878MaRDI QIDQ967494

Dong-Mei Zhu

Publication date: 29 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.12.013

zbMATH Keywords

graphupper boundlargest eigenvalueLaplacian matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (3)

Laplacian spectral characterization of some graph join ⋮ Some upper bounds for the signless Laplacian spectral radius of digraphs ⋮ Bounds for the Laplacian spectral radius of graphs

Cites Work

• Bounds on the (Laplacian) spectral radius of graphs
• 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 new upper bound for the Laplacian spectral radius of graphs
• Sharp upper bounds for the Laplacian graph eigenvalues
• The Laplacian eigenvalues of mixed graphs
• 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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