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Problemy Peredachi Informatsii, 2011, Volume 47, Issue 3, Pages 39–58 (Mi ppi2053)  
This article is cited in 6 scientific papers (total in 6 papers)

Large Systems

On a sequence of random distance graphs subject to the zero-one law

M. E. Zhukovskii

Probability Theory Chair, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
Full-text PDF (288 kB) Citations (6)
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Abstract: It is known that an Erdős–Rényi random graph obeys a zero-one law for first-order properties. The study of these laws started in 1969 with the work of Yu. V. Glebskii, D. I. Kogan, M. I. Liogon'kii, and V. A. Talanov. We proved in our previous works that a random distance graph does not obey the zero-one law. In this paper a sequence of random distance graphs obeying the zero-one law is obtained.
Received: 07.12.2010
Revised: 10.05.2011
English version:
Problems of Information Transmission, 2011, Volume 47, Issue 3, Pages 251–268
DOI: https://doi.org/10.1134/S0032946011030045
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.1
Language: Russian
Citation: M. E. Zhukovskii, “On a sequence of random distance graphs subject to the zero-one law”, Probl. Peredachi Inf., 47:3 (2011), 39–58; Problems Inform. Transmission, 47:3 (2011), 251–268
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
     
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