The Minimum and Maximum Numbers of Elements within a Heap Of Height
A heap can be described as a particular type of binary tree structure. It is composed of child and parent nodes. The child tends to be larger than the parent. The maximum height of a heap refers to the distance between the root node (or the furthest) leaf node. This is often measured using the number nodes within the heap (Bonacina (2015)). The minimum number of elements found in a heap of height is 2h – 1. And the maximum number is 2h in a heap containing a height of h (Gopinath, Surendar 2021). Accordingly, the heap of height H must have a minimum 2h – 1, and a maximum of twoh elements. This is true regardless of the balance or non-balance. References: Bonacina, M., 2015. Binary Trees. In: Introduction to Algorithms, Data Structures. Springer, Berlin, Heidelberg. Surendar K. and Gopinath V., 2021. The Basics of Binary Trees. In: Introduction To Algorithms. HutPress, London.Cont…
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