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Sbornik: Mathematics, 2016, Volume 207, Issue 3, Pages 458–478
DOI: https://doi.org/10.1070/SM8411 (Mi sm8411) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Zero-one law for random subgraphs of some distance graphs with vertices in $\mathbb Z^n$

S. N. Popova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (584 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM8411
Abstract: The zero-one law for the model of random distance graphs with vertices in $\mathbb Z^n$ is studied. Sufficient conditions for a sequence of random distance graphs to obey the zero-one law are derived, as well as conditions under which it contains a subsequence obeying the zero-one law.
Bibliography: 20 titles.
Keywords: random graphs, zero-one law, distance graphs.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-2184.2014.1
This work was supported by the Council of the President of the Russian Federation for the Support of Young Russian Candidates of Science (grant no. MK-2184.2014.1).
Received: 28.07.2014 and 13.07.2015
Bibliographic databases:
Document Type: Article
UDC: 519.179.4
MSC: 05C80, 60F20
Language: English
Original paper language: Russian
Citation: S. N. Popova, “Zero-one law for random subgraphs of some distance graphs with vertices in $\mathbb Z^n$”, Sb. Math., 207:3 (2016), 458–478
Citation in format AMSBIB
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\paper Zero-one law for random subgraphs of some distance graphs with vertices in~$\mathbb Z^n$
\jour Sb. Math.
\yr 2016
\vol 207
\issue 3
\pages 458--478
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  • https://doi.org/10.1070/SM8411
  • https://www.mathnet.ru/eng/sm/v207/i3/p153
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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