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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
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.
DOI:
https://doi.org/10.4213/sm8411
 Full text:
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English version:
Sbornik: Mathematics, 2016, 207:3, 458–478
Bibliographic databases:
    
UDC:
519.179.4
MSC: 05C80, 60F20
Received: 28.07.2014 and 13.07.2015
Citation:
S. N. Popova, “Zero-one law for random subgraphs of some distance graphs with vertices in $\mathbb Z^n$”, Mat. Sb., 207:3 (2016), 153–174; Sb. Math., 207:3 (2016), 458–478
Citation in format AMSBIB
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Linking options:
http://mi.mathnet.ru/eng/msb8411https://doi.org/10.4213/sm8411 http://mi.mathnet.ru/eng/msb/v207/i3/p153
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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M. E. Zhukovskii, A. M. Raigorodskii, “Random graphs: models and asymptotic characteristics”, Russian Math. Surveys, 70:1 (2015), 33–81
 
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