Loading [MathJax]/jax/output/CommonHTML/jax.js
Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2020, Volume 108, Issue 3, Pages 397–411
DOI: https://doi.org/10.4213/mzm12618 (Mi mzm12618) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Minimal Contact Circuits for Symmetric Threshold Functions

N. P. Red'kin

Lomonosov Moscow State University
Full-text PDF (647 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm12618
Abstract: For the monotone symmetric threshold Boolean functions
fn2(˜x)=⋁1⩽i<j⩽nxixj,n=2,3,…,
it is established that a minimal contact circuit implementing fn2(˜x) contains 3n−4 contacts.
Keywords: Boolean function, contact circuit, minimal circuit.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00337
This research was supported by the Russian Foundation for Basic Research under grant 18.01.00337 “Synthesis problems, complexity, and reliability issues in the theory of control systems.”
Received: 21.11.2019
English version:
Mathematical Notes, 2020, Volume 108, Issue 3, Pages 370–380
DOI: https://doi.org/10.1134/S0001434620090060
Bibliographic databases:
Document Type: Article
UDC: 519.95
Language: Russian
Citation: N. P. Red'kin, “Minimal Contact Circuits for Symmetric Threshold Functions”, Mat. Zametki, 108:3 (2020), 397–411; Math. Notes, 108:3 (2020), 370–380
Citation in format AMSBIB
\Bibitem{Red20}
\by N.~P.~Red'kin
\paper Minimal Contact Circuits for Symmetric Threshold Functions
\jour Mat. Zametki
\yr 2020
\vol 108
\issue 3
\pages 397--411
\mathnet{http://mi.mathnet.ru/mzm12618}
\crossref{https://doi.org/10.4213/mzm12618}
\elib{https://elibrary.ru/item.asp?id=45230726}
\transl
\jour Math. Notes
\yr 2020
\vol 108
\issue 3
\pages 370--380
\crossref{https://doi.org/10.1134/S0001434620090060}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000584617700006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85094164127}
Linking options:
  • https://www.mathnet.ru/eng/mzm12618
  • https://doi.org/10.4213/mzm12618
  • https://www.mathnet.ru/eng/mzm/v108/i3/p397
    • This publication is cited in the following 2 articles:
    1. N. P. Red'kin, “On the complexity of implementation of characteristic functions of the spheres by circuits of functional elements”, Moscow University Mathematics Bulletin, 77:3 (2022), 127–130  mathnet  crossref  mathscinet  zmath
    2. N. P. Red'kin, “Minimal Contact Circuits for a Sequence of Boolean Functions”, Math. Notes, 110:1 (2021), 156–158  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:205
    Full-text PDF :106
    References:36
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025