Principal submatrices of co-order one with the biggest Perron root

DOI10.1016/j.laa.2004.01.024zbMath1071.15010OpenAlexW2002197359MaRDI QIDQ1887601

Sergey V. Savchenko

Publication date: 22 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.01.024

zbMATH Keywords

Hamiltonian circuitHamiltonian pathPerron rootHamiltonian walkIrreducible nonnegative matrixOne-vertex-deleted subdigraphPrincipal submatrix of co-order oneStrong digraph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Directed graphs (digraphs), tournaments (05C20)

Related Items (1)

Normal matrices and their principal submatrices of co-order one

Cites Work

• The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: a survey
• Feasibility conditions for the existence of walk-regular graphs
• Algebraic eigenspaces of nonnegative matrices
• On the Perron roots of principal submatrices of co-order one of irreducible nonnegative matrices
• Perron components and algebraic connectivity for weighted graphs
• Spectral properties of an indecomposable non-negative matrix and its principal submatrices of co-order one
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