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Source. Z. Füredi and D. Gerbner, Hypergraphs without exponents, J. Combin. Theory Ser. A 184 (2021), Paper No. 105517, doi:10.1016/j.jcta.2021.105517. Labels and pages are those of the arXiv preprint arXiv:1906.06657v1 named on the source card.

Statement

Problem (p. 3, quoted). "Determine $\limsup_{n\to\infty}\mathrm{ex}_k(n,Q_k(r))/n^{k-1}$ for $4\leq k\leq 2r-2$."

Here $Q_k(r)$ is the hypergraph of Definition 3.2 (p. 2), stated on the page of Theorem 3.3. For $k\ge r\ge3$ the range $k\le2r-2$ is the range $r\ge(k/2)+1$, where Theorem 3.3 gives $\mathrm{ex}_k(n,Q_k(r))=\Theta(n^{k-1})$, so the problem asks for the constant.

Proof pointer

Posed as open.

Read depth

Claims checked: read on the page image of p. 3 of the preprint.