4 problems

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Füredi–Ruszinkó conjecture on uniform union-free hypergraphs
Let $U_r(n,r)$ denote the maximum number of edges in an $n$ -vertex $r$ -uniform $r$ -union-free hypergraph. Füredi–Ruszinkó conjecture. … This predicts that the nearly quadratic lowe…
Conjecturesolvedextremal-combinatorics hypergraphs union-free-familiesarXiv posted 2 days ago
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The product formula conjecture for maximum $(t,s)$ -families
Product formula conjecture. If $n\ge t+s$ , then
Conjectureopenextremal-set-theory intersecting-families union-free-familiesarXiv posted 2 days ago
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Barat–Füredi–Kantor–Kim–Patkos conjecture on a-union-free subfamilies
Barat–Füredi–Kantor–Kim–Patkos conjecture.
Conjectureopenextremal-set-theory union-free-familiesarXiv posted 2 days ago
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Erdős–Shelah conjecture for maximum union-free subfamilies
Erdős–Shelah conjecture.
Conjectureopenextremal-set-theory union-free-familiesarXiv posted 2 days ago

Füredi–Ruszinkó conjecture on uniform union-free hypergraphs