Subtree Size in Various Planar Trees

Abstract

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 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 4 different types of trees.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1904.05525