On the Laplacian spread of graphs

DOI10.1016/j.aml.2011.06.005zbMath1234.05156OpenAlexW2063131320MaRDI QIDQ654257

Yuan Hong, Jin-Long Shu, Ming-qing Zhai

Publication date: 28 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.aml.2011.06.005

zbMATH Keywords

largest eigenvaluesecond largest eigenvalueLaplacian spreadbicyclic graphspectral spread

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (20)

Some results on the Laplacian spread of a graph ⋮ New conjectures on algebraic connectivity and the Laplacian spread of graphs ⋮ Laplacian spectra of power graphs of certain prime-power Abelian groups ⋮ The algebraic connectivity of a graph and its complement ⋮ Some results on the Laplacian spread conjecture ⋮ Nordhaus-Gaddum type inequalities for Laplacian and signless Laplacian eigenvalues ⋮ Algebraic connectivity of the second power of a graph ⋮ Minimal spread of integral circulant graphs ⋮ On the Laplacian spread of digraphs ⋮ Graph Limits and Spectral Extremal Problems for Graphs ⋮ Nordhaus-Gaddum type inequalities for the \(k\)th largest Laplacian eigenvalues ⋮ On the Ky Fan $k$-norm of the $LI$-matrix of graphs ⋮ On two conjectures of spectral graph theory ⋮ On the lower bound of the sum of the algebraic connectivity of a graph and its complement ⋮ Signless Laplacian eigenvalue problems of Nordhaus-Gaddum type ⋮ Upper bounds on the Laplacian spread of graphs ⋮ The quasi-tree graph with maximum Laplacian spread ⋮ Nordhaus-Gaddum type inequalities for the two largest Laplacian eigenvalues ⋮ A note on the algebraic connectivity of a graph and its complement ⋮ The Laplacian spread of line graphs

Cites Work

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• The Laplacian spread of unicyclic graphs
• On the Laplacian spectral radii of bicyclic graphs
• Maximizing the Laplacian spectral radii of graphs with given diameter
• A note on Laplacian graph eigenvalues
• An improved upper bound for Laplacian graph eigenvalues
• An edge-grafting theorem on Laplacian spectra of graphs and its application
• The Laplacian Spectrum of a Graph
• Eigenvalues of the Laplacian of a graph^∗

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