A graph theoretic upper bound on the permanent of a nonnegative integer matrix. II. The extremal case (Q801134)
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scientific article; zbMATH DE number 3877358
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A graph theoretic upper bound on the permanent of a nonnegative integer matrix. II. The extremal case |
scientific article; zbMATH DE number 3877358 |
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A graph theoretic upper bound on the permanent of a nonnegative integer matrix. II. The extremal case (English)
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1984
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[For part I see ibid. 61, 187-198 (1984; reviewed above)]. Let A be a fully indecomposable \(n\times n\) matrix with integer entries and row and column sums \(r_ i\) and \(c_ i\), respectively. Matrices A are characterized for which per A\(=1+\min [\prod_{i}(r_ i- 1),\prod_{i}(c_ i-1)]\) holds.
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multigraphs
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permanent
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nonnegative integer matrix
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fully indecomposable
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