The level matrix of a tree and its spectrum

DOI10.1016/J.DAM.2024.05.018zbMATH Open1544.05065MaRDI QIDQ6585239

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Publication date: 9 August 2024

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

zbMATH Keywords

spectral radiusspectrumrooted treelevel matrixlevel energy

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

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• Computing the characteristic polynomial of a tree
• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• Interlacing eigenvalues and graphs
• General Randić matrix and general Randić incidence matrix
• The ancestral matrix of a rooted tree
• On the Arithmetic and Geometric Means and on Holder's Inequality
• The distance spectrum of the pathP_nand The First Distance Eigenvector of Connected Graphs
• The Gini index of random trees with an application to caterpillars
• Linear algebra and linear models
• Graphs and matrices

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