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Diskretnyi Analiz i Issledovanie Operatsii, 2013, Volume 20, Issue 4, Pages 15–26 (Mi da736)  
This article is cited in 4 scientific papers (total in 4 papers)

A lower bound on formula size of a ternary linear function

Yu. L. Vasil'ev, K. L. Rychkov

Sobolev Institute of Mathematics, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
Full-text PDF (270 kB) Citations (4)
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Abstract: The formula size of a ternary linear function that depends on $n$ variables is shown to be not less than $n^2+\frac32n-o(n)$. Bibliogr. 8.
Keywords: formula size, $\pi$-scheme, lower bound for the complexity.
Received: 18.03.2013
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 4, Pages 588–596
DOI: https://doi.org/10.1134/S1990478913040133
Bibliographic databases:
Document Type: Article
UDC: 519.714
Language: Russian
Citation: Yu. L. Vasil'ev, K. L. Rychkov, “A lower bound on formula size of a ternary linear function”, Diskretn. Anal. Issled. Oper., 20:4 (2013), 15–26; J. Appl. Industr. Math., 7:4 (2013), 588–596
Citation in format AMSBIB
\Bibitem{VasRyc13}
\by Yu.~L.~Vasil'ev, K.~L.~Rychkov
\paper A lower bound on formula size of a~ternary linear function
\jour Diskretn. Anal. Issled. Oper.
\yr 2013
\vol 20
\issue 4
\pages 15--26
\mathnet{http://mi.mathnet.ru/da736}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3114909}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 4
\pages 588--596
\crossref{https://doi.org/10.1134/S1990478913040133}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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