The maximum number of P-vertices of some nonsingular double star matrices

DOI10.1016/j.disc.2013.05.018zbMath1281.05091OpenAlexW1983495011MaRDI QIDQ390299

Aleksandra Erić, Carlos Martins de Fonseca

Publication date: 23 January 2014

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2013.05.018

zbMATH Keywords

eigenvaluesmatricesdouble starsP-vertices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (9)

The singular acyclic matrices with the second largest number of P-vertices ⋮ 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 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
• Problems in algebraic combinatorics
• CLASSIFICATION OF TREES EACH OF WHOSE ASSOCIATED ACYCLIC MATRICES WITH DISTINCT DIAGONAL ENTRIES HAS DISTINCT EIGENVALUES
• Non-singular acyclic matrices
• Hermitian Matrices, Eigenvalue Multiplicities, and Eigenvector Components
• Nonsingular acyclic matrices with full number of P-vertices
• Unnamed Item

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