Multiplicities: Adding a Vertex to a Graph

DOI10.1007/978-3-319-49984-0_8zbMath1403.05090OpenAlexW2594523590MaRDI QIDQ4554523

Charles R. Johnson, Kenji Toyonaga, Richard Uhrig

Publication date: 14 November 2018

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-49984-0_8

zbMATH Keywords

eigenvaluesmultiplicitiesmatrixsymmetric

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Cites Work

• 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
• On the possible multiplicities of the eigenvalues of a Hermitian matrix whose graph is a tree
• The change in eigenvalue multiplicity associated with perturbation of a diagonal entry
• The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree
• The Parter--Wiener Theorem: Refinement and Generalization
• 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: Multiplicities: Adding a Vertex to a Graph