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Diskretnyi Analiz i Issledovanie Operatsii, 2008, Volume 15, Issue 5, Pages 3–5 (Mi da545)  
This article is cited in 7 scientific papers (total in 7 papers)

Multidimensional permanents in enumrative problems

S. V. Avgustinovich

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (216 kB) Citations (7)
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Abstract: A permanent is an effective tool that can be used for solving a series of enumerative combinatorial problems. This theory is well-developed [1, 3] and has many applications. In this paper a problem of calculation of the number of 1-perfect binary codes is reduced to calculation of a generalized permanent of a specially constructed multidimensional matrix. Bibl. 3.
Keywords: permanent, perfect code, multidimensional matrix.
Received: 20.03.2008
English version:
Journal of Applied and Industrial Mathematics, 2010, Volume 4, Issue 1, Pages 19–20
DOI: https://doi.org/10.1134/S1990478910010035
Bibliographic databases:
UDC: 621.391.15
Language: Russian
Citation: S. V. Avgustinovich, “Multidimensional permanents in enumrative problems”, Diskretn. Anal. Issled. Oper., 15:5 (2008), 3–5; J. Appl. Industr. Math., 4:1 (2010), 19–20
Citation in format AMSBIB
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\by S.~V.~Avgustinovich
\paper Multidimensional permanents in enumrative problems
\jour Diskretn. Anal. Issled. Oper.
\yr 2008
\vol 15
\issue 5
\pages 3--5
\mathnet{http://mi.mathnet.ru/da545}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2543150}
\zmath{https://zbmath.org/?q=an:1249.94048}
\transl
\jour J. Appl. Industr. Math.
\yr 2010
\vol 4
\issue 1
\pages 19--20
\crossref{https://doi.org/10.1134/S1990478910010035}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949881730}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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