The Laplacian spread of graphs

DOI10.1007/s10587-012-0003-zzbMath1245.05089OpenAlexW1981295472MaRDI QIDQ2897352

Zhifu You, Bo Lian Liu

Publication date: 10 July 2012

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/246640

zbMATH Keywords

Laplacian eigenvalueLaplacian spread

Mathematics Subject Classification ID

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

Related Items (21)

Some remarks on Laplacian eigenvalues of connected graphs ⋮ Some results on the Laplacian spread of a graph ⋮ The algebraic connectivity of a graph and its complement ⋮ Remark on inequalities for the Laplacian spread of graphs ⋮ On Laplacian eigenvalues of connected graphs ⋮ 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 ⋮ 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 ⋮ New bounds for the signless Laplacian spread ⋮ Laplacian spread of graphs: lower bounds and relations with invariant parameters ⋮ 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 minimum Laplacian spread of unicyclic graphs ⋮ Inequalities for real number sequences with applications in spectral graph theory

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