B. Kreuter, THRESHOLD FUNCTIONS FOR ASYMMETRIC RAMSEY PROPERTIES WITH RESPECT TO VERTEX COLORINGS, Random structures & algorithms, 9(3), 1996, pp. 335-348
In this note we investigate Ramsey properties of random graphs. The th
reshold functions for symmetric Ramsey properties with respect to vert
ex colorings were determined by luczak, Rucinski, and Voigt [6]. As a
generalization of this problem we consider asymmetric Ramsey propertie
s and establish the values of the threshold functions. Furthermore, we
investigate canonical colorings. (C) 1996 John Wiley & Sons, Inc.