Bapat, R. B. (1984) A stronger form of the Egorychev-Falikman theorem on permanents Linear Algebra and its Applications, 63 . pp. 95-100. ISSN 0024-3795
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Official URL: http://www.sciencedirect.com/science/article/pii/0...
Related URL: http://dx.doi.org/10.1016/0024-3795(84)90137-X
Abstract
If A is a doubly stochastic matrix, it is shown that under certain conditions, there exist i, j such that the matrix obtained by replacing both the ith column of A with their average has a smaller permanent than that of A. A result which is stronger than the Egorychev-Falikman theorem on permanents is also proved.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 81590 |
| Deposited On: | 07 Feb 2012 05:09 |
| Last Modified: | 07 Feb 2012 05:09 |
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