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Diskretnaya Matematika, 1997, Volume 9, Issue 3, Pages 96–100
DOI: https://doi.org/10.4213/dm484
(Mi dm484)
 

Polynomial algorithms for computing the permanents of some matrices

A. P. Il'ichev, G. P. Kogan, V. N. Shevchenko
Abstract: Let $B_n$ be the matrix whose columns are all $n$-dimensional non-zero Boolean vectors and let $B_{nk}$ be the matrix whose columns are all $n$-dimensional Boolean vectors with $k$ unities. We suggest polynomial with respect to $n$ algorithms to compute the permanents of these matrices and some related matrices. These algorithms are based on the generating functions for values of permanents of the matrices under consideration.
Received: 08.11.1994
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: A. P. Il'ichev, G. P. Kogan, V. N. Shevchenko, “Polynomial algorithms for computing the permanents of some matrices”, Diskr. Mat., 9:3 (1997), 96–100; Discrete Math. Appl., 7:4 (1997), 413–417
Citation in format AMSBIB
\Bibitem{IliKogShe97}
\by A.~P.~Il'ichev, G.~P.~Kogan, V.~N.~Shevchenko
\paper Polynomial algorithms for computing the permanents of some matrices
\jour Diskr. Mat.
\yr 1997
\vol 9
\issue 3
\pages 96--100
\mathnet{http://mi.mathnet.ru/dm484}
\crossref{https://doi.org/10.4213/dm484}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1485652}
\zmath{https://zbmath.org/?q=an:0965.65070}
\transl
\jour Discrete Math. Appl.
\yr 1997
\vol 7
\issue 4
\pages 413--417
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    Дискретная математика
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