On the Laplacian spectral ratio of connected graphs

DOI10.1016/j.aml.2011.09.071zbMath1248.05116OpenAlexW2085028691MaRDI QIDQ452899

Zhifu You, Bo Lian Liu

Publication date: 18 September 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.09.071

zbMATH Keywords

Laplacian spectrumalgebraic connectivityratio

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Connectivity (05C40)

Related Items (4)

Some remarks on Laplacian eigenvalues of connected graphs ⋮ On Laplacian eigenvalues of connected graphs ⋮ Graph toughness from Laplacian eigenvalues ⋮ Inequalities for real number sequences with applications in spectral graph theory

Cites Work

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• The ordering of unicyclic graphs with the smallest algebraic connectivity
• Laplacian matrices of graphs: A survey
• Problems in algebraic combinatorics
• Interlacing eigenvalues and graphs
• Bounding the gap between extremal Laplacian eigenvalues of graphs
• Algebraic conditions for t-tough graphs
• The Laplacian Spectrum of a Graph
• The Laplacian Spectrum of a Graph II
• On sum of powers of the Laplacian eigenvalues of graphs

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