On the characteristic polynomial of a special class of graphs and spectra of balanced trees

DOI10.1016/J.LAA.2008.05.016zbMath1144.05318OpenAlexW2098230104MaRDI QIDQ947641

Bijan Taeri, Abbas Heydari

Publication date: 6 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.05.016

zbMATH Keywords

characteristic polynomialLaplacian matrixbalanced treespectra of graph

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (5)

On the Characteristic Polynomial and Spectrum of the Terminal Distance Matrix of Kragujevac Trees ⋮ The signless Laplacian spectrum of rooted product of graphs ⋮ The normalized Laplacian polynomial of rooted product of graphs ⋮ On the characteristic and Laplacian polynomials of trees ⋮ Spectra of M-rooted product of graphs

Cites Work

• 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
• A new graph product and its spectrum
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