Coloring the edges of a random graph without a monochromatic giant component.
Spöhel, Reto, Steger, Angelika, Thomas, Henning (2010)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Almost all graphs with 2. 522 edges are not 3-colorable.”
Coloring the edges of a random graph without a monochromatic giant component.
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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 including each edge of the complete graph on n vertices, independently, with probability p. The original proof was based on the regularity lemma of Szemerédi and this led to tower-type dependencies...
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