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arXiv · 1904.05525

Subtrees of a Given size in Schroeder Trees

Anthony Van Duzer
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Abstract

In this paper we find the generating function for the number of vertices which have $k$ elements in their subtree and use this generating function to calculate the probability that a vertex has a size $k$ subtree. We also show how this same technique can be applied to calculate the probabilities for other trees and specifically apply it to Motzkin trees.

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Anthony Van Duzer. 2019-04-11. Subtrees of a Given size in Schroeder Trees. https://arxiv.org/abs/1904.05525

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