# Array Representation Of Binary Heap

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 - k largest(or smallest) elements in an array | added Min Heap method
- Applications of Heap Data Structure
- Tournament Tree (Winner Tree) and Binary Heap
- Time Complexity of building a heap
- Sort a nearly sorted (or K sorted) array
- Kth smallest element in a row-wise and column-wise sorted 2D array | Set 1
- Binomial Heap
- K'th Smallest/Largest Element in Unsorted Array | Set 1
- Why is Binary Heap Preferred over BST for Priority Queue?
- Fibonacci Heap | Set 1 (Introduction)
- How to check if a given array represents a Binary Heap?
- Check if a given Binary Tree is Heap
- Overview of Data Structures | Set 2 (Binary Tree, BST, Heap and Hash)
- K-ary Heap
- Convert min Heap to max Heap
- Heap in C++ STL | make_heap(), push_heap(), pop_heap(), sort_heap(), is_heap, is_heap_until()
- Minimum sum of two numbers formed from digits of an array
- Implementation of Binomial Heap
- Where is Heap Sort used practically?
- Binary Heap

The traversal method use to achieve Array representation is** Level Order**

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:

**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:

For the implementation of the basic heap operations follow the link :http://quiz.geeksforgeeks.org/binary-heap/

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