Location of the eigenvalues of weighted graphs with a cut edge

DOI10.1080/03081080802443158zbMath1203.05092OpenAlexW2039301170MaRDI QIDQ3564194

Rosário Fernandes

Publication date: 2 June 2010

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

Full work available at URL: https://doi.org/10.1080/03081080802443158

zbMATH Keywords

cycleHermitian matriceseigenvaluesinterlacingcut edge

Mathematics Subject Classification ID

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

Related Items (1)

A reciprocal eigenvalue property for unicyclic weighted directed graphs with weights from \(\{\pm 1,{\pm}i\}\)

Cites Work

• Eigenvalues of a symmetric tridiagonal matrix: A divide-and-conquer approach
• Continued fractions and periodic Jacobi matrices
• Spectral estimates for periodic Jacobi matrices
• Eigenvalues of tridiagonal pseudo-Toeplitz matrices
• Theory of monomer-dimer systems
• Matrices, Digraphs, and Determinants
• Refined Interlacing Properties
• Interlacing Properties of Tridiagonal Symmetric Matrices with Applications to Parallel Computing
• Interlacing Properties for Hermitian Matrices Whose Graph is a Given Tree

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