On the spectra of certain rooted trees

DOI10.1016/j.laa.2005.09.019zbMath1092.05048OpenAlexW2025178088MaRDI QIDQ819770

Oscar Rojo

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.09.019

zbMATH Keywords

adjacency matrixLaplacian matrixstarlike trees

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

Tight bounds on the algebraic connectivity of Bethe trees, Computing tight upper bounds on the algebraic connectivity of certain graphs, Spectra of large random trees, Exploring Symmetries to Decompose Matrices and Graphs Preserving the Spectrum, On the characteristic and Laplacian polynomials of trees

Cites Work

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• Laplacian matrices of graphs: A survey
• On the Laplacian spectral radius of a tree.
• The spectral radius of trees on \(k\) pendant vertices
• On trees with perfect matchings
• The spectra of the adjacency matrix and Laplacian matrix for some balanced trees