The number of \(P\)-vertices in a matrix with maximum nullity

DOI10.1016/j.laa.2018.02.018zbMath1390.15028OpenAlexW2792324692MaRDI QIDQ1747899

Rosário Fernandes, Henrique F. da Cruz

Publication date: 27 April 2018

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.02.018

zbMATH Keywords

treesmaximum nullityacyclic matricesparter vertices

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (4)

The characterization of the minimal weighted acyclic graphs ⋮ \(\lambda\)-core distance partitions ⋮ On the continuity of the maximum size of P-sets of acyclic matrices ⋮ The number of P-vertices for acyclic matrices of maximum nullity

Cites Work

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• The acyclic matrices with a P-set of maximum size
• Non-singular acyclic matrices
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• The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree
• 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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