Non-singular acyclic matrices
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Publication:3633150
DOI10.1080/03081080701823286zbMath1168.15021OpenAlexW2065959825MaRDI QIDQ3633150
Publication date: 17 June 2009
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080701823286
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items (15)
The singular acyclic matrices with the second largest number of P-vertices ⋮ The maximum number of P-vertices of some nonsingular double star matrices ⋮ Nonsingular acyclic matrices with full number of P-vertices ⋮ On the number of P-vertices of some graphs ⋮ The number of P-vertices for acyclic matrices with given nullity ⋮ The singular acyclic matrices with maximal number of P-vertices ⋮ Nonsingular acyclic matrices with an extremal number of P-vertices ⋮ The number of \(P\)-vertices in a matrix with maximum nullity ⋮ The acyclic matrices with a P-set of maximum size ⋮ The number of P-vertices of singular acyclic matrices: an inverse problem ⋮ Maximal P-sets of matrices whose graph is a tree ⋮ The real symmetric matrices of odd order with a P-set of maximum size ⋮ On the continuity of the maximum size of P-sets of acyclic matrices ⋮ The number of P-vertices for acyclic matrices of maximum nullity ⋮ All pairs suffice for a P-set
Cites Work
- Spectral multiplicity and splitting results for a class of qualitative matrices
- On Fiedler- and Parter-vertices of acyclic matrices
- On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph
- The Parter--Wiener Theorem: Refinement and Generalization
- Hermitian Matrices, Eigenvalue Multiplicities, and Eigenvector Components
- On the Eigenvalues and Eigenvectors of a Class of Matrices
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