The scrambling index of symmetric primitive matrices

DOI10.1016/j.laa.2009.12.028zbMath1204.15040OpenAlexW2067373889MaRDI QIDQ989050

Shexi Chen, Bo Lian Liu

Publication date: 27 August 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.12.028

zbMATH Keywords

digraphexponentsymmetric matrixprimitive matrixscrambling index

Mathematics Subject Classification ID

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

Related Items (9)

Bounds on the generalized μ-scrambling indices of primitive digraphs ⋮ Generalized scrambling indices of a primitive digraph ⋮ The scrambling index of primitive digraphs ⋮ Generalized competition index of an irreducible Boolean matrix ⋮ Generalized competition indices of symmetric primitive digraphs ⋮ Upper bounds on scrambling index for non-primitive digraphs ⋮ The primitive matrices of sandwich semigroups of generalized circulant Boolean matrices ⋮ Generalized competition index of primitive digraphs ⋮ Some bounds of the generalized \(\mu \)-scrambling indices of primitive digraphs with \(d\) loops

Cites Work

• Primitive digraphs with the largest scrambling index
• Coefficients of ergodicity and the scrambling index
• Generalized exponents of primitive symmetric digraphs
• The \(m\)-step competition graph of a digraph
• The exponent set of symmetric primitive (0,1) matrices with zero trace
• Coefficients of ergodicity: structure and applications
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