Abstract
In this note we investigate Ramsey properties of random graphs. The threshold functions for symmetric Ramsey properties with respect to vertex colorings were determined by Łuczak, Ruciński, and Voigt [6]. As a generalization of this problem we consider asymmetric Ramsey properties and establish the values of the threshold functions. Furthermore, we investigate canonical colorings. © 1996 John Wiley & Sons, Inc.
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