2 problems

Let $d$ be a positive integer, and let $\mathcal{D}$ be a collection of nontrivial partitions of $d$. A collection satisfying the Riemann–Hurwitz formula is called a candidate bran…

Let $d=d'd”$, where $d'$ is the minimal prime factor of $d$ and $d”>2$, so that $d$ is neither prime nor equal to $4$. Let $\mathcal{D}$ be branch data with $k$ partitions, and sup…