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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 11, Pages 1952–1958
DOI: https://doi.org/10.7868/S0044466915110113 (Mi zvmmf10304) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On pseudo-Boolean polynomials

V. K. Leont'ev

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
Full-text PDF (88 kB) Citations (4)
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DOI: https://doi.org/10.7868/S0044466915110113
Abstract: A pseudo-Boolean function is an arbitrary mapping of the set of binary $n$-tuples to the real line. Such functions are a natural generalization of classical Boolean functions and find numerous applications in various applied studies. Specifically, the Fourier transform of a Boolean function is a pseudo-Boolean function. A number of facts associated with pseudo-Boolean polynomials are presented, and their applications to well-known discrete optimization problems are described.
Key words: pseudo-Boolean polynomial, monomial.
Received: 22.10.2014
Revised: 21.04.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 11, Pages 1926–1932
DOI: https://doi.org/10.1134/S0965542515110111
Bibliographic databases:
Document Type: Article
UDC: 519.7
MSC: Primary 90C09; Secondary 26C10, 94D05
Language: Russian
Citation: V. K. Leont'ev, “On pseudo-Boolean polynomials”, Zh. Vychisl. Mat. Mat. Fiz., 55:11 (2015), 1952–1958; Comput. Math. Math. Phys., 55:11 (2015), 1926–1932
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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