The singular acyclic matrices with the second largest number of P-vertices

DOI10.1080/03081087.2014.975225zbMath1334.15026OpenAlexW1968430243MaRDI QIDQ3455670

Zhibin Du, Carlos Martins de Fonseca

Publication date: 11 December 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2014.975225

zbMATH Keywords

singular matricestreesmultiplicity of eigenvaluesnullityP-vertices

Mathematics Subject Classification ID

Trees (05C05) 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 (5)

The number of P-vertices for acyclic matrices with given nullity ⋮ The characterization of the minimal weighted acyclic graphs ⋮ The maximum number of Parter vertices of acyclic matrices ⋮ The acyclic matrices with a P-set of maximum size ⋮ The real symmetric matrices of odd order with a P-set of maximum size

Cites Work

• The maximum number of P-vertices of some nonsingular double star matrices
• On the number of P-vertices of some graphs
• Spektren endlicher Grafen
• Spectral multiplicity and splitting results for a class of qualitative matrices
• The singular acyclic matrices with maximal number of P-vertices
• Nonsingular acyclic matrices with an extremal number of P-vertices
• Non-singular acyclic matrices
• The Parter--Wiener Theorem: Refinement and Generalization
• Hermitian Matrices, Eigenvalue Multiplicities, and Eigenvector Components
• Nonsingular acyclic matrices with full number of P-vertices
• On the Eigenvalues and Eigenvectors of a Class of Matrices

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