Ramsey Properties of Random Graphs and Folkman Numbers

For two graphs, G and F, and an integer r ≥ 2 we write G → (F)r if every r-coloring of the edges of G results in a monochromatic copy of F. In 1995, the first two authors established a threshold edge probability for the Ramsey property G(n, p) → (F)r, where G(n, p) is a random graph obtained by incl...

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Bibliographic Details
Main Authors: Rödl Vojtěch, Ruciński Andrzej, Schacht Mathias
Format: Article
Language:English
Published: University of Zielona Góra 2017-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1971