Sharp bounds on the eigenvalues of trees

DOI10.1016/j.camwa.2008.01.021zbMath1155.05331OpenAlexW2086964061MaRDI QIDQ1004756

Shengbiao Hu

Publication date: 12 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.01.021

zbMATH Keywords

treelargest eigenvaluesecond largest eigenvaluequotient matrix

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

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• Spektren endlicher Grafen
• Large matchings from eigenvalues
• Problems in algebraic combinatorics
• Some new bounds on the spectral radius of graphs
• Interlacing eigenvalues and graphs

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