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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 439, Pages 26–37 (Mi znsl6197)  
This article is cited in 3 scientific papers (total in 3 papers)

On divisibility for the permanents of $(\pm1)$-matrices

M. V. Budrevich, A. E. Guterman, K. A. Taranin

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (203 kB) Citations (3)
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Abstract: The classical results by Kräuter and Seifter concerning the divisibility of permanents for $(\pm1)$-matrices by large powers of $2$ are useful in testing whether the permanent is a nonvanishing function. In this paper, a new approach to this problem, which allows one to obtain a short combinatorial proof of the results by Kräuter and Seifter, is suggested.
Key words and phrases: permanent, $\pm1$-matrices, divisibility.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МД-962.2014.1
Russian Foundation for Basic Research 15-01-01132
15-31-20329
Received: 10.11.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 216, Issue 6, Pages 738–745
DOI: https://doi.org/10.1007/s10958-016-2937-4
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: M. V. Budrevich, A. E. Guterman, K. A. Taranin, “On divisibility for the permanents of $(\pm1)$-matrices”, Computational methods and algorithms. Part XXVIII, Zap. Nauchn. Sem. POMI, 439, POMI, St. Petersburg, 2015, 26–37; J. Math. Sci. (N. Y.), 216:6 (2016), 738–745
Citation in format AMSBIB
\Bibitem{BudGutTar15}
\by M.~V.~Budrevich, A.~E.~Guterman, K.~A.~Taranin
\paper On divisibility for the permanents of $(\pm1)$-matrices
\inbook Computational methods and algorithms. Part~XXVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 439
\pages 26--37
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6197}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3502379}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 216
\issue 6
\pages 738--745
\crossref{https://doi.org/10.1007/s10958-016-2937-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84976320678}
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  • https://www.mathnet.ru/eng/znsl/v439/p26
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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