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Diskretnaya Matematika, 2001, Volume 13, Issue 4, Pages 116–121
DOI: https://doi.org/10.4213/dm311 (Mi dm311) 		 
On the number of metric functions of a Boolean cube

A. A. Voronenko
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DOI: https://doi.org/10.4213/dm311
Abstract: We obtain the limit of the $2^n$th root (asymptotics of the logarithm) of the number of pseudo-Boolean functions of $n$ variables that map adjacent vertices of the Boolean cube into adjacent vertices of an arbitrary graph, is obtained. This result is extended to mappings of vertices of Cartesian products of arbitrary graphs.
This research was supported by the Russian Foundation for Basic Research, grants 00–01–00351 and 01–01–00266.
Received: 04.07.2001
Bibliographic databases:
UDC: 519.716
Language: Russian
Citation: A. A. Voronenko, “On the number of metric functions of a Boolean cube”, Diskr. Mat., 13:4 (2001), 116–121; Discrete Math. Appl., 11:6 (2001), 643–648
Citation in format AMSBIB
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\by A.~A.~Voronenko
\paper On the number of metric functions of a Boolean cube
\jour Diskr. Mat.
\yr 2001
\vol 13
\issue 4
\pages 116--121
\mathnet{http://mi.mathnet.ru/dm311}
\crossref{https://doi.org/10.4213/dm311}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1901787}
\zmath{https://zbmath.org/?q=an:1054.60008}
\transl
\jour Discrete Math. Appl.
\yr 2001
\vol 11
\issue 6
\pages 643--648
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    		Дискретная математика
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