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Matematicheskie Trudy, 2016, Volume 19, Number 1, Pages 106–177
DOI: https://doi.org/10.17377/mattrudy.2016.19.105 (Mi mt302) 		 
Zero-one laws for random graphs with vertices in a Boolean cube

S. N. Popova

Lomonosov Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.17377/mattrudy.2016.19.105
Abstract: We study the limit probabilities of first-order properties for random graphs with vertices in a Boolean cube. We find sufficient conditions for a sequence of random graphs to obey the zero-one law for first-order formulas of bounded quantifier depth. We also find conditions implying a weakened version of the zero-one law.
Key words: random graphs, zero-one laws, distance graphs.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-2184.2014.1
Received: 17.11.2014
English version:
Siberian Advances in Mathematics, 2017, Volume 27, Issue 1, Pages 26–75
DOI: https://doi.org/10.3103/S1055134417010035
Bibliographic databases:
Document Type: Article
UDC: 519.175.4
Language: Russian
Citation: S. N. Popova, “Zero-one laws for random graphs with vertices in a Boolean cube”, Mat. Tr., 19:1 (2016), 106–177; Siberian Adv. Math., 27:1 (2017), 26–75
Citation in format AMSBIB
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\by S.~N.~Popova
\paper Zero-one laws for random graphs with vertices in a Boolean cube
\jour Mat. Tr.
\yr 2016
\vol 19
\issue 1
\pages 106--177
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\crossref{https://doi.org/10.17377/mattrudy.2016.19.105}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588301}
\elib{https://elibrary.ru/item.asp?id=25963587}
\transl
\jour Siberian Adv. Math.
\yr 2017
\vol 27
\issue 1
\pages 26--75
\crossref{https://doi.org/10.3103/S1055134417010035}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85014057607}
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