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

On a sequence of random distance graphs subject to the zero-one law It is known that an Erdös-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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

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

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Publisher
SP MAIK Nauka/Interperiodica
Copyright
Copyright © 2011 by Pleiades Publishing, Ltd.
Subject
Engineering; Information Storage and Retrieval; Electrical Engineering; Systems Theory, Control; Communications Engineering, Networks
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946011030045
Publisher site
See Article on Publisher Site

Abstract

It is known that an Erdös-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.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 11, 2011

References

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