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Diskretnaya Matematika, 2002, Volume 14, Issue 2, Pages 33–47
DOI: https://doi.org/10.4213/dm239
(Mi dm239)
 

This article is cited in 1 scientific paper (total in 1 paper)

Some properties of the inertia groups of Boolean bijunctive functions, and an injunctive method for the generation of such functions

A. V. Tarasov
References:
Abstract: The class of bijunctive Boolean functions consists of the functions representable by the 2-CNF\@. The problem of enumeration of such function of arbitrary number of variables has not been solved. In the paper, we consider properties of inertia groups of bijunctive functions in several groups and give an inductive method of generating all distinct representatives of the classes of geometric equivalence of bijunctive functions. By this method we calculate the numbers of bijunctive functions of 5, 6, and 7 variables.
Received: 15.10.2001
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: A. V. Tarasov, “Some properties of the inertia groups of Boolean bijunctive functions, and an injunctive method for the generation of such functions”, Diskr. Mat., 14:2 (2002), 33–47; Discrete Math. Appl., 12:3 (2002), 213–228
Citation in format AMSBIB
\Bibitem{Tar02}
\by A.~V.~Tarasov
\paper Some properties of the inertia groups of Boolean bijunctive functions, and an injunctive method for the generation of such functions
\jour Diskr. Mat.
\yr 2002
\vol 14
\issue 2
\pages 33--47
\mathnet{http://mi.mathnet.ru/dm239}
\crossref{https://doi.org/10.4213/dm239}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1937006}
\zmath{https://zbmath.org/?q=an:1044.06006}
\transl
\jour Discrete Math. Appl.
\yr 2002
\vol 12
\issue 3
\pages 213--228
Linking options:
  • https://www.mathnet.ru/eng/dm239
  • https://doi.org/10.4213/dm239
  • https://www.mathnet.ru/eng/dm/v14/i2/p33
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дискретная математика
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