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Locally oriented noncrossing trees
(2015)
We de ne an orientation on the edges of a noncrossing tree induced by the
labels: for a noncrossing tree (i.e., the edges do not cross) with vertices 1; 2; : : : ; n
arranged on a circle in this order, all edges are ...
Refined enumeration of k-plane trees and k-noncrossing trees
(2022)
A k-plane tree is a plane tree whose vertices are assigned labels between 1 and k in such a way that the sum of the labels along any edge is no greater than k+1. These trees are known to be related to (k+1)-ary trees, and ...