Prikladnaya Diskretnaya Matematika. Supplement
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Prikladnaya Diskretnaya Matematika. Supplement, 2015, Issue 8, Pages 48–51
DOI: https://doi.org/10.17223/2226308X/8/18 (Mi pdma244) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Discrete Functions

Some structural properties of quadratic Boolean threshold functions

A. N. Shurupov

Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University), Moscow
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DOI: https://doi.org/10.17223/2226308X/8/18
Abstract: With the help of a binary partial order relation on the set of quadratic forms with Boolean variables, some classes of simultaneously decomposed (or not having any decompositions) quadratic Boolean threshold functions are described. Simple representatives of these classes are pointed out. In some cases, we can prove whether a variable is essential or not for a quadratic Boolean threshold functions.
Keywords: quadratic Boolean threshold function, decomposition, essential variable.
Document Type: Article
UDC: 512.55
Language: Russian
Citation: A. N. Shurupov, “Some structural properties of quadratic Boolean threshold functions”, Prikl. Diskr. Mat. Suppl., 2015, no. 8, 48–51
Citation in format AMSBIB
\Bibitem{Shu15}
\by A.~N.~Shurupov
\paper Some structural properties of quadratic Boolean threshold functions
\jour Prikl. Diskr. Mat. Suppl.
\yr 2015
\issue 8
\pages 48--51
\mathnet{http://mi.mathnet.ru/pdma244}
\crossref{https://doi.org/10.17223/2226308X/8/18}
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    • This publication is cited in the following 1 articles:
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