Bounds for the Laplacian spectral radius of graphs

DOI10.1080/03081080802450021zbMath1217.05148OpenAlexW2153704190MaRDI QIDQ5190343

Huiqing Liu, Mei Lu

Publication date: 17 March 2010

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

Full work available at URL: https://doi.org/10.1080/03081080802450021

zbMATH Keywords

graphLaplacian spectral radiusnon-regular graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Eigenvalues, singular values, and eigenvectors (15A18)

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Bounds for the (Laplacian) spectral radius of graphs with parameter α ⋮ On the signless Laplacian spectral radius of irregular graphs

Cites Work

• Bounds on the (Laplacian) spectral radius of graphs
• Extreme eigenvalues of nonregular graphs
• A note on Laplacian graph eigenvalues
• On the Laplacian eigenvalues of a graph
• Lower bounds for the spectral radius of a matrix
• A new upper bound for eigenvalues of the Laplacian matrix of a graph
• On the Laplacian spectral radius of a graph
• On the spectral radius of graphs
• A sharp upper bound on the largest eigenvalue of the Laplacian matrix of a graph
• The Laplacian eigenvalues of mixed graphs
• Automated conjectures on upper bounds for the largest Laplacian eigenvalue of graphs
• A new upper bound for the spectral radius of graphs with girth at least 5
• Sharp upper and lower bounds for largest eigenvalue of the Laplacian matrices of trees
• Eigenvalues of the Laplacian of a graph^∗
• The Laplacian Spectrum of a Graph II
• The largest two Laplacian eigenvalues of a graph
• de Caen's inequality and bounds on the largest Laplacian eigenvalue of a graph

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