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Diskretnaya Matematika, 2003, Volume 15, Issue 4, Pages 100–112
DOI: https://doi.org/10.4213/dm218 (Mi dm218) 		 
This article is cited in 11 scientific papers (total in 11 papers)

On complexity of realisation of linear Boolean functions by circuits of functional elements over the basis $\{x\to y,\bar x\}$

I. C. Shkrebela
Full-text PDF (665 kB) Citations (11) English version article
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DOI: https://doi.org/10.4213/dm218
Abstract: We show that the minimal circuit of functional elements over the basis $\{x\to y,\bar x\}$ which realises a linear function of $n$ variables consists of $4n-4$ elements.
Received: 01.05.2002
English version:
Discrete Mathematics and Applications, 2003, Volume 13, Issue 5, Pages 483–496
DOI: https://doi.org/10.1515/156939203322694754
Bibliographic databases:
UDC: 519.95
Language: Russian
Citation: I. C. Shkrebela, “On complexity of realisation of linear Boolean functions by circuits of functional elements over the basis $\{x\to y,\bar x\}$”, Diskr. Mat., 15:4 (2003), 100–112; Discrete Math. Appl., 13:5 (2003), 483–496
Citation in format AMSBIB
\Bibitem{Shk03}
\by I.~C.~Shkrebela
\paper On complexity of realisation of linear Boolean functions by circuits of functional elements over the basis
$\{x\to y,\bar x\}$
\jour Diskr. Mat.
\yr 2003
\vol 15
\issue 4
\pages 100--112
\mathnet{http://mi.mathnet.ru/dm218}
\crossref{https://doi.org/10.4213/dm218}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2050751}
\zmath{https://zbmath.org/?q=an:1047.94517}
\transl
\jour Discrete Math. Appl.
\yr 2003
\vol 13
\issue 5
\pages 483--496
\crossref{https://doi.org/10.1515/156939203322694754}
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  • https://www.mathnet.ru/eng/dm/v15/i4/p100
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Дискретная математика
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