Hoffman polynomials of nonnegative irreducible matrices and strongly connected digraphs
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Publication:819766
DOI10.1016/j.laa.2005.09.012zbMath1083.05030OpenAlexW2127838373MaRDI QIDQ819766
Publication date: 29 March 2006
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2005.09.012
tensor productmatrix equationamalgamationelementary equivalencesplitPerron eigenvaluePerron eigenvectorharmonic digraphPerron pair
Matrix equations and identities (15A24) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20)
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Cites Work
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- A note on Hoffman-type identities of graphs
- Combinatorial verification of the elementary divisors of tensor products
- A directed graph version of strongly regular graphs
- On the matrix equation \(A^k=J-I\)
- Multiplicative designs II. Uniform normal and related structures
- Multiplicative cones - a family of three eigenvalue graphs
- Directed graphs with unique paths of fixed length
- On the impossibility of directed Moore graphs
- On the matrix equation \(A^l+A^{l+k}=J_n\)
- \(g\)-circulant solutions to the (0,1) matrix equation \(A^m=J_n\)
- Symbolic dynamics. One-sided, two-sided and countable state Markov shifts
- An approach to solving \(A^{k}=J-I\)
- Some results on covers of complete graphs
- Hoffman-type identities
- Semiharmonic trees and monocyclic graphs
- On graphs with three eigenvalues
- Algebraic characterizations of graph regularity conditions
- The Hoffman number of a graph
- Harmonic trees
- Non-existence of directed strongly regular graphs
- Eigenvectors of circulant matrices of prime dimension
- Spectra and elementary cycles of the digraphs with unique paths of fixed length
- Some 0–1 Solutions to Matrix Equation $A^m - A^n = lJ$—Part I
- On the Polynomial of a Graph
- Elementary divisors of tensor products
- The spectra of wrapped butterfly digraphs
- The Spectra of Cycle Prefix Digraphs
- An Introduction to Symbolic Dynamics and Coding
- The Polynomial of a Directed Graph
- On the Line Graph of a Projective Plane
- On the algebraic theory of pseudo-distance-regularity around a set
- The underlying line digraph structure of some (0, 1)-matrix equations