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- W4287777016 abstract "We improve the upper bound for diagonal Ramsey numbers to [R(k+1,k+1)leexp(-c(log k)^2)binom{2k}{k}] for $kge 3$. To do so, we build on a quasirandomness and induction framework for Ramsey numbers introduced by Thomason and extended by Conlon, demonstrating optimal effective quasirandomness results about convergence of graphs. This optimality represents a natural barrier to improvement." @default.
- W4287777016 created "2022-07-26" @default.
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- W4287777016 date "2020-05-19" @default.
- W4287777016 modified "2023-09-28" @default.
- W4287777016 title "Diagonal Ramsey via effective quasirandomness" @default.
- W4287777016 doi "https://doi.org/10.48550/arxiv.2005.09251" @default.
- W4287777016 hasPublicationYear "2020" @default.
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