Email this article On the Divisibility of Permanents for (±1)-Matrices
- Authors: Budrevich M.V.1, Guterman A.E.1, Taranin K.A.1
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Affiliations:
- Lomosov Moscow State University
- Issue: Vol 216, No 6 (2016)
- Pages: 738-745
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/237915
- DOI: https://doi.org/10.1007/s10958-016-2937-4
- ID: 237915
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Abstract
The classical results by Kräuter and Seifter concerning the divisibility of permanents for (±1)-matrices by large powers of 2 are useful in testing whether the permanent function is nonvanishing. This paper suggests a new approach to this problem, allowing one to obtain a short combinatorial proof of the results by Kräuter and Seifter.
About the authors
M. V. Budrevich
Lomosov Moscow State University
Email: alexander.guterman@gmail.com
Russian Federation, Moscow
A. E. Guterman
Lomosov Moscow State University
Author for correspondence.
Email: alexander.guterman@gmail.com
Russian Federation, Moscow
K. A. Taranin
Lomosov Moscow State University
Email: alexander.guterman@gmail.com
Russian Federation, Moscow
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