Perron values and classes of trees

DOI10.1016/j.laa.2022.01.005zbMath1482.05185OpenAlexW4206457953MaRDI QIDQ2074970

Geir Dahl, Enide Andrade, Lorenzo Ciardo

Publication date: 11 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.laa.2022.01.005

zbMATH Keywords

treeLaplacian matrixPerron valuebottleneck matrixspecial trees

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Connectivity (05C40)

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Cites Work

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• Combinatorial Perron parameters for trees
• Interlacing eigenvalues and graphs
• Perron value and moment of rooted trees
• Graphs, partitions and Fibonacci numbers
• Characteristic vertices of weighted trees via perron values
• Extremizing algebraic connectivity subject to graph theoretic constraints
• Combinatorial Perron values of trees and bottleneck matrices
• On trees with maximum algebraic connectivity

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