2 problems

Let $w$ be a Dyck path and let $t=\kappa(w)$ be the corresponding planar rooted binary tree under the bijection $\kappa$ from Dyck paths to planar rooted binary trees. A correspond…

Let $T_1$ and $T_2$ be trees with an upper bound in the Tamari lattice $\mathscr{C}_n$, and let $\mathscr{R}_n$ be the rotation graph on these trees. A shortest path in…