Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 495, Pages 65–68
DOI: https://doi.org/10.31857/S2686954320060132 (Mi danma136) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On implementation of boolean functions by contact circuits with a constant uniform width

K. A. Popkov

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russian Federation
Full-text PDF (184 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S2686954320060132
Abstract: We introduce the concept of the uniform width of a contact circuit. For each Boolean function, we find the minimal possible value of the uniform width of a contact circuit implementing this function. We prove constructively that this value does not exceed 3. We also establish that, for almost all Boolean functions on $n$ variables, it equals 3.
Keywords: contact circuit, Boolean function, uniform width.
Presented: B. N. Chetverushkin
Received: 01.09.2020
Revised: 01.09.2020
Accepted: 03.10.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 3, Pages 502–504
DOI: https://doi.org/10.1134/S1064562420060150
Bibliographic databases:
Document Type: Article
UDC: 519.714.22
Language: Russian
Citation: K. A. Popkov, “On implementation of boolean functions by contact circuits with a constant uniform width”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 65–68; Dokl. Math., 102:3 (2020), 502–504
Citation in format AMSBIB
\Bibitem{Pop20}
\by K.~A.~Popkov
\paper On implementation of boolean functions by contact circuits with a constant uniform width
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 495
\pages 65--68
\mathnet{http://mi.mathnet.ru/danma136}
\crossref{https://doi.org/10.31857/S2686954320060132}
\zmath{https://zbmath.org/?q=an:7424675}
\elib{https://elibrary.ru/item.asp?id=44367204}
\transl
\jour Dokl. Math.
\yr 2020
\vol 102
\issue 3
\pages 502--504
\crossref{https://doi.org/10.1134/S1064562420060150}
Linking options:
  • https://www.mathnet.ru/eng/danma136
  • https://www.mathnet.ru/eng/danma/v495/p65
    • 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
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
    Statistics & downloads:
    Abstract page:66
    Full-text PDF :48
    References:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024