Local primitivity of matrices and graphs

DOI10.1134/S1990478917010045zbMath1374.05150OpenAlexW2589556263MaRDI QIDQ5269162

S. N. Kyazhin, V. M. Fomichev

Publication date: 15 June 2017

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1990478917010045

zbMATH Keywords

exponentprimitive graphprimitive matrixlocal exponentlocal primitivity

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20)

Related Items (6)

Semigroup and Metric Characteristics of Locally Primitive Matrices and Digraphs ⋮ Primitivity and Local Primitivity of Digraphs and Nonnegative Matrices ⋮ Exact formula for exponents of mixing digraphs for register transformations ⋮ On degree of nonlinearity of the coordinate polynomials for a product of transformations of a binary vector space ⋮ ON ADAPTATION OF DIGRAPH LOCAL PRIMITIVENESS CONDITIONS AND LOCAL EXPONENT ESTIMATIONS ⋮ CONDITIONS OF PRIMITIVITY AND EXPONENT BOUNDS FOR SETS OF DIGRAPHS

Cites Work

• Generalized \(r\)-exponents of primitve digraphs
• Local exponents of primitive digraphs
• Generalized exponents of Boolean matrices
• The local exponent sets of primitive digraphs
• Generalized exponents of primitive directed graphs
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