Diskretnaya Matematika
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


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




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

Diskretnaya Matematika, 2022, Volume 34, Issue 2, Pages 32–42
DOI: https://doi.org/10.4213/dm1701 (Mi dm1701) 		 
Propagation criterion for monotone Boolean functions with least vector support set of 1 or 2 elements

G. A. Isaev

Lomonosov Moscow State University
Full-text PDF (477 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/dm1701
Abstract: The propagation criterion for monotone Boolean functions with least vector support sets consisting of one or two vectors is studied. We obtain necessary and sufficient conditions for the validity of the propagation criterion for a vector in terms of the Hamming weights of vectors in least vector support set depending on whether these vectors share some nonzero components with the given vector. We find the cardinality of the set of vectors satisfying the propagation criterion for such functions.
Keywords: Boolean function, propagation criterion, monotone Boolean function, the least vector support set of a monotone Boolean function, Walsh spectrum.
Received: 03.03.2022
English version:
Discrete Mathematics and Applications, 2024, Volume 34, Issue 2, Pages 61–69
DOI: https://doi.org/10.1515/dma-2024-0006
Document Type: Article
UDC: 519.716.322+519.719.2
Language: Russian
Citation: G. A. Isaev, “Propagation criterion for monotone Boolean functions with least vector support set of 1 or 2 elements”, Diskr. Mat., 34:2 (2022), 32–42; Discrete Math. Appl., 34:2 (2024), 61–69
Citation in format AMSBIB
\Bibitem{Isa22}
\by G.~A.~Isaev
\paper Propagation criterion for monotone Boolean functions with least vector support set of 1 or 2 elements
\jour Diskr. Mat.
\yr 2022
\vol 34
\issue 2
\pages 32--42
\mathnet{http://mi.mathnet.ru/dm1701}
\crossref{https://doi.org/10.4213/dm1701}
\transl
\jour Discrete Math. Appl.
\yr 2024
\vol 34
\issue 2
\pages 61--69
\crossref{https://doi.org/10.1515/dma-2024-0006}
Linking options:
  • https://www.mathnet.ru/eng/dm1701
  • https://doi.org/10.4213/dm1701
  • https://www.mathnet.ru/eng/dm/v34/i2/p32
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
    Statistics & downloads:
    Abstract page:197
    Full-text PDF :88
    References:53
    First page:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024