Zero-one laws for random graphs with vertices in a Boolean cube

Zero-one laws for random graphs with vertices in a Boolean cube

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 versi...

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Veröffentlicht in:Siberian advances in mathematics 2017, Vol.27 (1), p.26-75
1. Verfasser: Popova, S. N.
Format: Artikel
Sprache:eng
Schlagworte:
Boolean algebra
Graphs
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:1055-1344
1934-8126
DOI:10.3103/S1055134417010035