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Status: Unchecked ×Keyword: 4-uniform hypergraphs ×Clear all

1 claim from 1 paper

1. Mathematics › Limits and Structures in Graph Theory

   New lower bounds for hypergraph Ramsey numbers

   Mubayi and Suk · Bulletin of the London Mathematical Society · 2017

   The paper proves new lower bounds for 4-uniform hypergraph Ramsey numbers r_4(5,n) and r_4(6,n), and extends them to r_k(k+1,n) and r_k(k+2,n), almost settling the tower growth rate of off-diagonal hypergraph Ramsey numbers.

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   1. UncheckedCombined with earlier upper bounds, the new lower bound implies that r_4(6,n) grows double exponentially in a power of n.“Using previously known upper bounds, our result implies that the growth rate of $r_4(6,n)$ is double exponential in a power of $n$.”