The Laplacian spread of unicyclic graphs

DOI10.1016/j.aml.2009.01.023zbMath1179.05069OpenAlexW2007610156MaRDI QIDQ845623

Ying-Ying Tan, Yi-Zheng Fan, Yan-Hong Bao

Publication date: 29 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.aml.2009.01.023

zbMATH Keywords

spectral radiusLaplacian matrixalgebraic connectivityunicyclic graphLaplacian spread

Mathematics Subject Classification ID

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

Related Items (18)

Some results on the Laplacian spread of a graph ⋮ The Laplacian spread of graphs ⋮ 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 ⋮ The Laplacian spread of quasi-tree graphs ⋮ On the Laplacian spread of graphs ⋮ On the Ky Fan $k$-norm of the $LI$-matrix of graphs ⋮ On the lower bound of the sum of the algebraic connectivity of a graph and its complement ⋮ Bounds on the \(Q\)-spread of a graph ⋮ Upper bounds on the Laplacian spread of graphs ⋮ The quasi-tree graph with maximum Laplacian spread ⋮ The minimum Laplacian spread of unicyclic graphs ⋮ The Laplacian spread of line graphs ⋮ A bound on the Laplacian spread which is tight for strongly regular graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The spread of unicyclic graphs with given size of maximum matchings
• Minimizing the least eigenvalues of unicyclic graphs with application to spectral spread
• Lower bounds for the spread of a matrix
• A note on Laplacian graph eigenvalues
• Laplacian matrices of graphs: A survey
• An improved upper bound for Laplacian graph eigenvalues
• The spread of a matrix
• Linear combinations of graph eigenvalues
• Eigenvalues of the Laplacian of a graph^∗
• The eigenvalue spreads of a hermitian matrix and its principal submatrices
• The Laplacian Spectrum of a Graph II
• On the spread of a hermitian matrix and a conjecture of thompson
• A bound on the algebraic connectivity of a graph in terms of the number of cutpoints
• Extremal Eigenvalues of Real Symmetric Matrices with Entries in an Interval
• The spread of the spectrum of a graph

This page was built for publication: The Laplacian spread of unicyclic graphs