Improved bounds for the Laplacian energy of Bethe trees

DOI10.1016/j.laa.2009.03.047zbMath1218.05098OpenAlexW2102428397MaRDI QIDQ962112

María Robbiano, Raúl D. Jiménez

Publication date: 6 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.03.047

zbMATH Keywords

adjacency matrixKy Fan theoremLaplacian matrixgraph spectrumenergy (of graph)Bethe treesLaplacian energy (of graph)singular value of matrix

Mathematics Subject Classification ID

Applications of graph theory (05C90) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (1)

Factoring matrices with a tree-structured sparsity pattern

Cites Work

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• Laplacian energy of a graph
• The energy of graphs and matrices
• Applications of a theorem by Ky Fan in the theory of graph energy
• Convex and concave functions of singular values of matrix sums
• The case of equality in the matrix-valued triangle inequality
• An explicit formula for eigenvalues of Bethe trees and upper bounds on the largest eigenvalue of any tree
• The spectra of the adjacency matrix and Laplacian matrix for some balanced trees
• Singular value inequality and graph energy change
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
• Some Metric Inequalities in the Space of Matrices

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