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 ith 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
The traversal method use to achieve Array representation is Level Order👁 binary-heap-array-mapping
Binary Heap satisfies the Ordering Property.
The Ordering can be of two types:
1. Min Heap Property: The value of each node is greater than or equal to the value of its parent, with the minimum value at the root.
Examples:
👁 min-heap 2. Max Heap Property: The value of each node is less than or
equal to the value of its parent, with the maximum value at the root.
Examples:
👁 max-heap
For the implementation of the basic heap operations follow the link :https://www.geeksforgeeks.org/dsa/binary-heap/