On extremal matrices of second largest exponent by Boolean rank

DOI10.1016/J.LAA.2006.09.016zbMath1122.15002OpenAlexW1965786185MaRDI QIDQ869927

Lihua You, Gexin Yu, Bo Lian Liu

Publication date: 9 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.09.016

zbMATH Keywords

exponentBoolean matrixrank factorization

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Positive matrices and their generalizations; cones of matrices (15B48) Matrices of integers (15B36) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (2)

The primitive Boolean matrices with the second largest scrambling index by Boolean rank ⋮ A bound on the scrambling index of a primitive matrix using Boolean rank

Cites Work

• Unnamed Item
• On the exponent of a primitive digraph
• An extension of the Dulmage-Mendelsohn theorem
• A bound on the exponent of a primitive matrix using Boolean rank
• Unzerlegbare, nicht negative Matrizen

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