The minimum Laplacian spread of unicyclic graphs

DOI10.1016/j.laa.2009.08.027zbMath1206.05066OpenAlexW1973291808WikidataQ112882171 ScholiaQ112882171MaRDI QIDQ1044538

Zhifu You, Bo Lian Liu

Publication date: 18 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.08.027

zbMATH Keywords

eigenvalueLaplacian matrixunicyclic graphsalgebraic connectivityLaplacian spread

Mathematics Subject Classification ID

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

Related Items (8)

Some results on the Laplacian spread of a graph ⋮ The Laplacian spread of graphs ⋮ Minimal spread of integral circulant graphs ⋮ On the Ky Fan $k$-norm of the $LI$-matrix of graphs ⋮ Upper bounds on the Laplacian spread of graphs ⋮ The quasi-tree graph with maximum Laplacian spread ⋮ The Laplacian spread of line graphs ⋮ A bound on the Laplacian spread which is tight for strongly regular graphs

Cites Work

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• The Laplacian spread of unicyclic graphs
• Some results on the Laplacian eigenvalues of unicyclic graphs
• The ordering of unicyclic graphs with the smallest algebraic connectivity
• The Laplacian spread of graphs
• The Laplacian Spectrum of a Graph II
• The largest two Laplacian eigenvalues of a graph

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