A note on the exponent set of primitive minimally strong digraphs (Q1188430)
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scientific article; zbMATH DE number 40601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the exponent set of primitive minimally strong digraphs |
scientific article; zbMATH DE number 40601 |
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A note on the exponent set of primitive minimally strong digraphs (English)
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13 August 1992
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Let \(e(n)\) denote the least integer \((\geq 5)\) that is not the exponent of any \(n\times n\) primitive, nearly reducible matrix. Author proves \(e(n)>n^ 2/3\) (under certain additional hypotheses about the distance between \(n\) and the nearest prime number).
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exponent set
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strong digraphs
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matrix
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