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Status: Unchecked ×Keyword: Ramsey theory ×Clear all

2 claims from 1 paper

1. Mathematics › Limits and Structures in Graph Theory

   Ordered Ramsey numbers

   Conlon, Fox, Lee and Sudakov · arXiv (Cornell University) · 2014

   Unchecked2 claims
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   1. Unchecked“However, we prove that even for matchings there are labelings where the ordered Ramsey number is superpolynomial in the number of vertices.”
   2. Unchecked“Among other results, we also prove a general upper bound on ordered Ramsey numbers which implies that there exists a constant $c$ such that $r_<(H) \leq r(H)^{c \log^2 n}$ for any labeled graph $H$ on vertex set $\{1,2, \dots, n\}$.”