The number of \(P\)-vertices in a matrix with maximum nullity
type: Item
instance of: scholarly article
title: The number of \(P\)-vertices in a matrix with maximum nullity
zbMATH Open document ID: 1390.15028
author: Rosário Fernandes
author: Henrique F.da Cruz
published in: Linear Algebra and its Applications
publication date: 2018-04-27T00:00:00Z
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 05C50
zbMATH DE Number: 6865290
zbMATH Keywords: trees
zbMATH Keywords: acyclic matrices
zbMATH Keywords: maximum nullity
zbMATH Keywords: parter vertices
MaRDI profile type: Publication
full work available at URL: j.laa.2018.02.018
OpenAlex ID: W2792324692
cites work: Q3642517
cites work: The acyclic matrices with a P-set of maximum size
cites work: Sets of Parter vertices which are Parter sets
cites work: On the maximum multiplicity of an eigenvalue in a matrix whose graph contains exactly one cycle
cites work: On the eigenvalues of some tridiagonal matrices
cites work: Q3347919
cites work: Matrix Analysis
cites work: 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.
cites work: The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree
cites work: The Parter--Wiener Theorem: Refinement and Generalization
cites work: The structure of matrices with a maximum multiplicity eigenvalue
cites work: Hermitian Matrices, Eigenvalue Multiplicities, and Eigenvector Components
cites work: Non-singular acyclic matrices
cites work: Maximal P-sets of matrices whose graph is a tree
cites work: On the Eigenvalues and Eigenvectors of a Class of Matrices
cites work: Spectral multiplicity and splitting results for a class of qualitative matrices
Wikidata QID: Q130197836
DOI: 10.1016/J.LAA.2018.02.018
Recommended article: The number of P-vertices for acyclic matrices of maximum nullity
Recommended article: The number of P-vertices for acyclic matrices with given nullity
Recommended article: The maximum number of Parter vertices of acyclic matrices
Recommended article: The maximum number of P-vertices of some nonsingular double star matrices
Recommended article: Nonsingular acyclic matrices with an extremal number of P-vertices
Recommended article: The singular acyclic matrices with maximal number of P-vertices
Recommended article: The number of P-vertices of singular acyclic matrices: an inverse problem
Recommended article: Nonsingular acyclic matrices with full number of P-vertices
Recommended article: Q5486498
Recommended article: Maximum nullity and zero forcing number of graphs with rank at most 4
description: scientific article; zbMATH DE number 6865290