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Prikladnaya Diskretnaya Matematika. Supplement, 2018, Issue 11, Pages 14–16
DOI: https://doi.org/10.17223/2226308X/11/4 (Mi pdma403) 		 
Theoretical Foundations of Applied Discrete Mathematics

Lower bound on the size of the largest metrically regular subset of the Boolean cube

A. K. Oblaukhov

Novosibirsk State University, Novosibirsk
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DOI: https://doi.org/10.17223/2226308X/11/4
Abstract: Strongly metrically regular subsets of the Boolean cube are studied. Iterative constructions of strongly metrically regular sets are presented. Formula for calculating the number of sets obtainable using these constructions is given. Special families of strongly regular sets are constructed and sizes of sets from these families are calculated. Obtained values give us lower bound on the size of the largest metrically regular subset of the Boolean cube with fixed covering radius.
Keywords: metrically regular set, metric complement.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00479
17-41-543364
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: A. K. Oblaukhov, “Lower bound on the size of the largest metrically regular subset of the Boolean cube”, Prikl. Diskr. Mat. Suppl., 2018, no. 11, 14–16
Citation in format AMSBIB
\Bibitem{Obl18}
\by A.~K.~Oblaukhov
\paper Lower bound on the size of the largest metrically regular subset of the Boolean cube
\jour Prikl. Diskr. Mat. Suppl.
\yr 2018
\issue 11
\pages 14--16
\mathnet{http://mi.mathnet.ru/pdma403}
\crossref{https://doi.org/10.17223/2226308X/11/4}
\elib{https://elibrary.ru/item.asp?id=35557587}
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