Monochromatic progressions in random colorings
نویسندگان
چکیده
منابع مشابه
Monochromatic progressions in random colorings
Let N(k) = 2k/2k3/2f(k) and N(k) = 2k/2k1/2 g(k) where f(k) → ∞ and g(k) → 0 arbitrarily slowly as k → ∞. We show that the probability of a random 2-coloring of {1, 2, . . . , N(k)} containing a monochromatic k-term arithmetic progression approaches 1, and the probability of a random 2-coloring of {1, 2, . . . , N(k)} containing a monochromatic kterm arithmetic progression approaches 0, as k → ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2012
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2012.01.010