3 papers
math.CO2022
Subtree Size in Various Planar Trees
Anthony Van Duzer
In this paper we find the generating function for the number of vertices that have k elements in their subtree and use this generating function to calculate the probability that a…
math.CO2019
Subtrees of a Given size in Schroeder Trees
Anthony Van Duzer
In this paper we find the generating function for the number of vertices which have elements in their subtree and use this generating function to calculate the probability that…
math.CO2017
Protected Vertices in Motzkin trees
Anthony Van Duzer
In this paper we find recurrence relations for the asymptotic probability a vertex is protected in all Motzkin trees. We use a similar technique to calculate the probabilities…