Eigenvalues and diameter

DOI10.1007/s10114-011-8681-2zbMath1222.05167OpenAlexW2061244421MaRDI QIDQ546361

Huiqing Liu, Mei Lu

Publication date: 24 June 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-8681-2

zbMATH Keywords

graphdiameteradjacency matrixLaplacian matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Distance in graphs (05C12)

Cites Work

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• \(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators
• Lower bounds of the Laplacian spectrum of graphs based on diameter
• Eigenvalues, diameter, and mean distance in graphs
• Laplacian matrices of graphs: A survey
• Interlacing eigenvalues and graphs
• Matrix Analysis
• Diameters and Eigenvalues

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