How to check if a given array represents a Binary Heap?

Array Representation Of Binary Heap

Last Updated : 28 Jun, 2021

A Binary Heap is a Complete Binary Tree. A binary heap is typically represented as array. The representation is done as:

The root element will be at Arr[0].
Below table shows indexes of other nodes for the i^th node, i.e., Arr[i]:

Arr[(i-1)/2] Returns the parent node

Arr[(2*i)+1] Returns the left child node

Arr[(2*i)+2] Returns the right child node

Level Order

binary-heap-array-mapping

Ordering Property

1. Min Heap Property:

min-heap

2. Max Heap Property:

max-heap

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How to check if a given array represents a Binary Heap?

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Saksham Raj Seth

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