A graph theoretic upper bound on the permanent of a nonnegative integer matrix. I (Q801133)
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scientific article; zbMATH DE number 3877357
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A graph theoretic upper bound on the permanent of a nonnegative integer matrix. I |
scientific article; zbMATH DE number 3877357 |
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A graph theoretic upper bound on the permanent of a nonnegative integer matrix. I (English)
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1984
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If A is a fully indecomposable \(n\times n\) matrix with nonnegative integer entries which has row and column \(r_ i\) and \(c_ i\), respectively, then \(per A\leq 1+\min [\prod_{i}(r_ i-1),\quad \prod_{i}(c_ i-1)].\)
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permanent
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nonnegative integer matrix
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multigraph
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fully indecomposable
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