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Diskretnaya Matematika, 2009, Volume 21, Issue 3, Pages 33–36
DOI: https://doi.org/10.4213/dm1059 (Mi dm1059) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a constructive approach to the calculation of cardinality of the Ryser classes

V. S. Krotkin, O. V. Kuzmin
Full-text PDF (81 kB) Citations (1) English version article
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DOI: https://doi.org/10.4213/dm1059
Abstract: We consider the problem of calculation of cardinality of the classes of square matrices consisting of zeros and ones with given values of row and column sums. We obtain a recurrence relation which gives a possibility to calculate the cardinalities of these classes. In the proofs, we use a constructive approach, that is, we construct the combinatorial objects with given characteristics and calculate the number of distinct objects. An example of the use of the obtained relation is given.
Received: 15.04.2009
English version:
Discrete Mathematics and Applications, 2009, Volume 19, Issue 4, Pages 371–374
DOI: https://doi.org/10.1515/DMA.2009.025
Bibliographic databases:
UDC: 519.15
Language: Russian
Citation: V. S. Krotkin, O. V. Kuzmin, “On a constructive approach to the calculation of cardinality of the Ryser classes”, Diskr. Mat., 21:3 (2009), 33–36; Discrete Math. Appl., 19:4 (2009), 371–374
Citation in format AMSBIB
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\by V.~S.~Krotkin, O.~V.~Kuzmin
\paper On a~constructive approach to the calculation of cardinality of the Ryser classes
\jour Diskr. Mat.
\yr 2009
\vol 21
\issue 3
\pages 33--36
\mathnet{http://mi.mathnet.ru/dm1059}
\crossref{https://doi.org/10.4213/dm1059}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2588651}
\elib{https://elibrary.ru/item.asp?id=20730299}
\transl
\jour Discrete Math. Appl.
\yr 2009
\vol 19
\issue 4
\pages 371--374
\crossref{https://doi.org/10.1515/DMA.2009.025}
\elib{https://elibrary.ru/item.asp?id=21654651}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70350510850}
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  • https://www.mathnet.ru/eng/dm1059
  • https://doi.org/10.4213/dm1059
  • https://www.mathnet.ru/eng/dm/v21/i3/p33
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Дискретная математика
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