On the eigenvalues of generalized and double generalized stars

DOI10.1080/03081080500054760zbMath1082.15015OpenAlexW2087907626MaRDI QIDQ5693567

Francesco Barioli, Shaun M. Fallat

Publication date: 26 September 2005

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

Full work available at URL: https://doi.org/10.1080/03081080500054760

zbMATH Keywords

eigenvaluesgraphsgeneralized starseigenvalue sequencessymmetric matrics

Mathematics Subject Classification ID

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

Related Items (7)

Generalizations of the strong Arnold property and the minimum number of distinct eigenvalues of a graph ⋮ Computation of minimal rank and path cover number for certain graphs ⋮ Ordered multiplicity inverse eigenvalue problem for graphs on six vertices ⋮ Unordered multiplicity lists of a class of binary trees ⋮ The inverse eigenvalue problem of a graph: multiplicities and minors ⋮ The minimum rank of symmetric matrices described by a graph: a survey ⋮ A generalization of Fiedler's lemma and some applications

Cites Work

• Spectral multiplicity and splitting results for a class of qualitative matrices
• Construction of acyclic matrices from spectral data
• 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
• Partial pole assignment for the vibrating system with aerodynamic effect
• 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
• Combinatorial Matrix Theory
• On the Eigenvalues and Eigenvectors of a Class of Matrices

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