Minimum Clique Number, Chromatic Number, and Ramsey Numbers
نویسندگان
چکیده
منابع مشابه
Minimum Clique Number, Chromatic Number, and Ramsey Numbers
Let Q(n, c) denote the minimum clique number over graphs with n vertices and chromatic number c. We investigate the asymptotics of Q(n, c) when n/c is held constant. We show that when n/c is an integer α, Q(n, c) has the same growth order as the inverse function of the Ramsey number R(α+ 1, t) (as a function of t). Furthermore, we show that if certain asymptotic properties of the Ramsey numbers...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2012
ISSN: 1077-8926
DOI: 10.37236/2125