2 problems

Let $F$ be a graph with … for some $\alpha\in(1,2]$. Write $G_{n,p}$ for the random graph with edge probability $p$, and let $d_2(F)$ denote the 2-density parameter appearing in th…

Let $G_{n,p}^{(3)}$ be the random 3-uniform hypergraph on $n$ vertices, let $C_4^{(3)}$ be the 3-uniform expansion of the 4-cycle, and let…