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Array Representation Of Binary Heap
  • Difficulty Level : Easy
  • Last Updated : 22 Apr, 2019

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 :http://quiz.geeksforgeeks.org/binary-heap/

    This article is contributed by Saksham Raj Seth. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

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