The change in multiplicity of an eigenvalue of a real symmetric matrix resulting from the changes in edge values around a classified vertex in a tree

DOI10.1007/s40306-018-0276-xzbMath1402.15007OpenAlexW2807915313MaRDI QIDQ1994054

Kenji Toyonaga

Publication date: 1 November 2018

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-018-0276-x

zbMATH Keywords

treemultiplicityedgeseigenvaluesreal symmetric matrix

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• The classification of edges and the change in multiplicity of an eigenvalue of a real symmetric matrix resulting from the change in an edge value
• The change in multiplicity of an eigenvalue of a Hermitian matrix associated with the removal of an edge from its graph
• The change in eigenvalue multiplicity associated with perturbation of a diagonal entry
• The Parter--Wiener Theorem: Refinement and Generalization

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