Nonsingular acyclic matrices with full number of P-vertices

DOI10.1080/03081087.2012.661425zbMath1276.15006OpenAlexW1990504077MaRDI QIDQ4908160

Aleksandra Erić, Milica Anđelić, Carlos Martins de Fonseca

Publication date: 4 March 2013

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

Full work available at URL: https://doi.org/10.1080/03081087.2012.661425

zbMATH Keywords

grapheigenvaluessymmetric matricesacyclic matrices\(P\)-sets\(P\)-vertices

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (11)

The singular acyclic matrices with the second largest number of P-vertices ⋮ The maximum number of P-vertices of some nonsingular double star matrices ⋮ 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 maximum number of Parter vertices of acyclic matrices ⋮ The acyclic matrices with a P-set of maximum size ⋮ The number of P-vertices of singular acyclic matrices: an inverse problem ⋮ 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

Cites Work

• On the number of P-vertices of some graphs
• On Fiedler- and Parter-vertices of acyclic matrices
• On the multiplicities of eigenvalues of a Hermitian matrix whose graph is a tree
• The inertia of certain Hermitian block matrices
• The inertia of Hermitian block matrices with zero main diagonal
• CLASSIFICATION OF TREES EACH OF WHOSE ASSOCIATED ACYCLIC MATRICES WITH DISTINCT DIAGONAL ENTRIES HAS DISTINCT EIGENVALUES
• On the inertia sets of some symmetric sign patterns
• Non-singular acyclic matrices
• Matrix Analysis
• Hermitian Matrices, Eigenvalue Multiplicities, and Eigenvector Components

This page was built for publication: Nonsingular acyclic matrices with full number of P-vertices