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1,726 claims from 1,063 papers are on the record. 46 have been checked so far; the other 1,680 have no check with a result yet.

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2 claims from 2 papers

1. Mathematics › Limits and Structures in Graph Theory

   Canonical Ramsey numbers of sparse graphs

   Gishboliner, Milojević, Sudakov and Wigderson · arXiv (Cornell University) · 2024

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   1. Unchecked“For example, we prove that if $H$ has bounded degree, then $ER(H)$ is polynomial in $|V(H)|$ if $H$ is bipartite, but exponential in general.”

2. Mathematics › Limits and Structures in Graph Theory

   Ramsey goodness of $k$-uniform paths, or the lack thereof

   Boyadzhiyska and Lo · arXiv (Cornell University) · 2023

   The paper explores Ramsey goodness for k-uniform hypergraph paths, showing that unlike graph paths, many are not H-good, while long loose paths are asymptotically good and tight paths are settled for some 3-graphs.

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   1. UncheckedLong loose paths in k-uniform hypergraphs are always at least asymptotically H-good for any hypergraph H, with bounds the paper says are best possible in a certain sense.“On the other hand, we prove that long loose paths are always at least asymptotically $H$-good for every $H$ and derive lower and upper bounds that are best possible in a certain sense.”