A bound on the generalized competition index of a primitive matrix using Boolean rank

DOI10.1016/j.laa.2011.04.002zbMath1221.05236OpenAlexW2128255188MaRDI QIDQ551345

Hwa Kyung Kim

Publication date: 15 July 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.2011.04.002

zbMATH Keywords

Boolean rankscrambling index\(m\)-competition indexcompetition indexgeneralized competition 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 (6)

Generalized competition index of an irreducible Boolean matrix ⋮ The generalized competition indices of primitive minimally strong digraphs ⋮ Scrambling index set of primitive digraphs ⋮ Characterization of irreducible Boolean matrices with the largest generalized competition index ⋮ The primitive matrices of sandwich semigroups of generalized circulant Boolean matrices ⋮ Generalized competition index of primitive digraphs

Cites Work

• Unnamed Item
• A bound on the scrambling index of a primitive matrix using Boolean rank
• Generalized competition index of a primitive digraph
• Primitive digraphs with the largest scrambling index
• Coefficients of ergodicity and the scrambling index
• On generalized exponents of tournaments
• A bound on the exponent of a primitive matrix using Boolean rank
• Unzerlegbare, nicht negative Matrizen
• COMPETITION INDICES OF STRONGLY CONNECTED DIGRAPHS
• COMPETITION INDICES OF TOURNAMENTS

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