A note on the multiplicities of the eigenvalues of a graph

DOI10.1080/03081080500092307zbMath1078.15009OpenAlexW2137006477MaRDI QIDQ5693569

Carlos Martins de Fonseca

Publication date: 26 September 2005

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

Full work available at URL: https://doi.org/10.1080/03081080500092307

zbMATH Keywords

treegraphmultiplicityHermitian matriceseigenvalues

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (9)

A note on the multiplicities of the eigenvalues of a tree ⋮ The multiplicity of eigenvalues of unicyclic graphs ⋮ The number of P-vertices for acyclic matrices with given nullity ⋮ The characterization of the minimal weighted acyclic graphs ⋮ The effect of removing a 2-downer edge or a cut 2-downer edge triangle for an eigenvalue ⋮ A note on the multiplicities of graph eigenvalues ⋮ Characterization of graphs with an eigenvalue of large multiplicity ⋮ Trees and acyclic matrices over arbitrary fields ⋮ On the multiplicity of eigenvalues of trees

Cites Work

• Spectral multiplicity and splitting results for a class of qualitative matrices
• On the possible multiplicities of the eigenvalues of a Hermitian matrix whose graph is a tree
• On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph
• Mechanical vibration trees
• Theory of monomer-dimer systems
• Matrix Analysis
• The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree
• 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

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