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Products of irreducible matrices - MaRDI portal

Products of irreducible matrices (Q1063658)

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scientific article; zbMATH DE number 3916475
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Products of irreducible matrices
scientific article; zbMATH DE number 3916475

    Statements

    Products of irreducible matrices (English)
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    1985
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    The author solves a problem in Boolean matrix theory stated by the reviewer by stating that the semigroup generated by all irreducible Boolean matrices is for n even all matrices with no zero rows or columns, and for n odd is all these except matrices which are the sum of an odd permutation and a matrix with at most one nonzero row or at most one nonzero column.
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    subsemigroup of irreducible matrices
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    irreducible Boolean matrix
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