On the number of P-vertices of some graphs

DOI10.1016/j.laa.2010.09.017zbMath1225.05078OpenAlexW2016403351MaRDI QIDQ616291

Milica Anđelić, Ricardo Mamede, Carlos Martins de Fonseca

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.09.017

zbMATH Keywords

treecyclepathstarsign patternacyclic matrixP-vertex

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 (15)

The singular acyclic matrices with the second largest number of P-vertices ⋮ New strong divisibility sequences ⋮ The maximum number of P-vertices of some nonsingular double star matrices ⋮ Nonsingular acyclic matrices with full number of P-vertices ⋮ The number of P-vertices for acyclic matrices with given nullity ⋮ The characterization of the minimal weighted acyclic graphs ⋮ 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 conductivity of superimposed key-graphs with a common one-dimensional adjacency nullspace ⋮ Coalescing Fiedler and core vertices ⋮ 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

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• Explicit inverses of some tridiagonal matrices
• Symmetric sign pattern matrices that require unique inertia

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