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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)
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DOI: https://doi.org/10.4213/mzm12618
Abstract: For the monotone symmetric threshold Boolean functions
$$ f^n_2(\widetilde x\mspace{2mu})=\bigvee_{1\le i<j\le n}x_ix_j,\qquad n=2,3,\dots, $$
it is established that a minimal contact circuit implementing $f^n_2(\widetilde x\mspace{2mu})$ 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
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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