Max Heap: Introduction

This lesson will give a brief introduction to Max-Heaps and how their elements are inserted or removed from Max-Heaps.

Building a Max-Heap

Max heaps follow the max heap property meaning the key at the parent node is always greater than the keys at the child nodes. Heaps can be implemented using arrays.

Initially, elements are placed in nodes in the same order as they appear in the array. Then a function is called over the whole heap in a bottom-up manner that “Max Heapifies” or “percolates up” on this heap so that the heap property is restored. The “Max Heapify” function is bottom-up because it starts comparing and swapping parent-child key values from the last parent (at the n2\frac{n}{2}and index).

For a visual demonstration of heap creation, check out the following illustration.

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