Title: On the $p'$-subgraph of the Young graph,
Abstract: Let $p$ be a prime number. In this article we study the restriction to
$\mathfrak{S}_{n-1}$ of irreducible characters of degree coprime to $p$ of
$\mathfrak{S}_n$. In particular, we study the combinatorial properties of the
subgraph $\mathbb{Y}_{p'}$ of the Young graph $\mathbb{Y}$. This is an
extension to odd primes of the work done by Ayyer, Prasad and Spallone for
$p=2$.