On the semigroup of fully indecomposable relations
Chong-Yun Chao, Mou Cheng Zhang (1983)
Czechoslovak Mathematical Journal
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Chong-Yun Chao, Mou Cheng Zhang (1983)
Czechoslovak Mathematical Journal
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Jiří Sedláček (1965)
Časopis pro pěstování matematiky
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Richard A. Brualdi, Kathleen P. Kiernan (2011)
Czechoslovak Mathematical Journal
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Let be a square -matrix. Then is a Hall matrix provided it has a nonzero permanent. The Hall exponent of is the smallest positive integer , if such exists, such that is a Hall matrix. The Hall exponent has received considerable attention, and we both review and expand on some of its properties. Viewing as the adjacency matrix of a digraph, we prove several properties of the Hall exponents of line digraphs with some emphasis on line digraphs of tournament (matrices). ...