The number of P-vertices of singular acyclic matrices: an inverse problem

DOI10.7151/dmgt.2282zbMath1434.15008OpenAlexW2996865591WikidataQ126432140 ScholiaQ126432140MaRDI QIDQ2296002

Zhibin Du, Carlos Martins de Fonseca

Publication date: 17 February 2020

Published in: Discussiones Mathematicae. Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7151/dmgt.2282

zbMATH Keywords

singulartreesmultiplicity of eigenvaluesP-verticesacyclic matricesP-set

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29)

Related Items (1)

The number of P-vertices for acyclic matrices with given nullity

Cites Work

• The maximum number of P-vertices of some nonsingular double star matrices
• On the number of P-vertices of some graphs
• The singular acyclic matrices with maximal number of P-vertices
• On the continuity of the maximum size of P-sets of acyclic matrices
• The number of P-vertices for acyclic matrices of maximum nullity
• Nonsingular acyclic matrices with an extremal number of P-vertices
• The acyclic matrices with a P-set of maximum size
• The real symmetric matrices of odd order with a P-set of maximum size
• 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
• The singular acyclic matrices of even order with a P-set of maximum size
• On the Eigenvalues and Eigenvectors of a Class of Matrices
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