2 problems

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Super-polynomial directed Ramsey numbers with three colors
Let $\overleftrightarrow{r_3}(H)$ be the three-color directed Ramsey number, and let an acyclic digraph have maximum degree at most $\Delta$ . Three-color directed-Ramsey conjecture…
Conjectureopenacyclic-digraphs bounded-degree-graphs directed-ramsey-theoryarXiv posted 2 days ago
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Sánchez-Flores's conjecture on $TT_6$ -free tournaments
Sánchez-Flores's conjecture. The only $TT_6$ -free tournaments on 24 and 25 vertices are those that appear as subtournaments of $ST_{27}$ .
Conjectureopendirected-ramsey-theory extremal-combinatorics tournamentsarXiv posted 2 days ago

Super-polynomial directed Ramsey numbers with three colors