Questions, conjectures, and data about multiplicity lists for trees

DOI10.1016/j.laa.2016.08.002zbMath1350.05092OpenAlexW2514679257WikidataQ122981120 ScholiaQ122981120MaRDI QIDQ331158

Cristina Araúz Lombardía, Carlos M. Saiago, Joseph G. Corliss, Charles R. Johnson, Shannon P. Buckley

Publication date: 26 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.08.002

zbMATH Keywords

multiplicityeigenvaluesymmetric matrix

Mathematics Subject Classification ID

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

Related Items (4)

The minimum number of eigenvalues of multiplicity one in a diagonalizable matrix, over a field, whose graph is a tree ⋮ Diagonalizable matrices whose graph is a tree: the minimum number of distinct eigenvalues and the feasibility of eigenvalue assignments ⋮ The inverse eigenvalue problem for linear trees ⋮ The minimum number of multiplicity 1 eigenvalues among real symmetric matrices whose graph is a nonlinear tree

Cites Work

• Unnamed Item
• Unnamed Item
• Ordered multiplicity lists for eigenvalues of symmetric matrices whose graph is a linear tree
• Spectral multiplicity and splitting results for a class of qualitative matrices
• Eigenvalue assignments and the two largest multiplicities in a Hermitian matrix whose graph is a tree
• Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: The case of generalized stars and double generalized stars.
• On the possible multiplicities of the eigenvalues of a Hermitian matrix whose graph is a tree
• The implicit construction of multiplicity lists for classes of trees and verification of some conjectures
• Diameter minimal trees
• Branch duplication for the construction of multiple eigenvalues in an Hermitian matrix whose graph is a tree
• The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree
• The Parter--Wiener Theorem: Refinement and Generalization
• On two conjectures regarding an inverse eigenvalue problem for acyclic symmetric matrices
• On the minimum number of distinct eigenvalues for a symmetric matrix whose graph is a given tree
• On the Eigenvalues and Eigenvectors of a Class of Matrices

This page was built for publication: Questions, conjectures, and data about multiplicity lists for trees