A bound on the exponent of primitivity in terms of diameter (Q1923206)
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scientific article; zbMATH DE number 931937
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A bound on the exponent of primitivity in terms of diameter |
scientific article; zbMATH DE number 931937 |
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A bound on the exponent of primitivity in terms of diameter (English)
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7 October 1996
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Let \(A\) be a nonnegative \(n\)-by-\(n\) matrix and let denote by \(\gamma(A)\) and \(D\) the exponent of primitivity and the diameter of the directed graph of \(A\), respectively. The author proves that \(\gamma (A) \leq D^2+1\) (a conjecture of R. E. Hartwig, M. Neumann and X. D. Lin (1984)).
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nonnegative matrix
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exponent of primitivity
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directed graph
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