1 problem

Let $M\geq 2$ and write $[M]=\{1,2,\ldots,M\}$. Let $\mathcal{G}$ be a $d$-regular hypergraph on $[M]$, let $r$ and $p_{\mathbf{s}}$ for $\mathbf{s}\in\mathcal{G}$ be real numbers…