2 problems

Let $G$ be the iterated blow-up of the complement of the Fano plane. It is $J_4$-free and has codegree squared density at least $0.28$. The complement-of-Fano blow-up conjecture fo…

Let $\mathbb{F}$ be the Fano plane, and let $B_n$ be the complete balanced bipartite $3$-graph on $n$ vertices. For a $3$-graph $H$, write $\operatorname{co}_2(H)$ for its codegree…