Heap Data Structure

  • Last Updated :26 Aug, 2022

Data Structure and Algorithms Course
Practice Problems on Heap
Recent articles on Heap !

What is Heap Data Structure?

A Heap is a special Tree-based data structure in which the tree is a complete binary tree.

Operations of Heap Data Structure:

  • Heapify: a process of creating a heap from an array.
  • Insertion: process to insert an element in existing heap time complexity O(log N).
  • Deletion: deleting the top element of the heap or the highest priority element, and then organizing the heap and returning the element with time complexity O(log N).
  • Peek: to check or find the most prior element in the heap, (max or min element for max and min heap).

Types of Heap Data Structure


Generally, Heaps can be of two types:

  1. Max-Heap: In a Max-Heap the key present at the root node must be greatest among the keys present at all of it’s children. The same property must be recursively true for all sub-trees in that Binary Tree.
  2. Min-Heap: In a Min-Heap the key present at the root node must be minimum among the keys present at all of it’s children. The same property must be recursively true for all sub-trees in that Binary Tree.

Applications, Advantages and Disadvantages of Heap

Popular Articles on Heap :

  1. Binary Heap
  2. Time Complexity of building a heap
  3. Applications of Heap Data Structure
  4. Binomial Heap
  5. Fibonacci Heap
  6. Leftist Heap
  7. K-ary Heap
  8. Heap Sort
  9. Iterative Heap Sort
  10. K’th Largest Element in an array
  11. K’th Smallest/Largest Element in Unsorted Array | Set 1
  12. Sort an almost sorted array/
  13. Tournament Tree (Winner Tree) and Binary Heap
  14. Check if a given Binary Tree is Heap
  15. How to check if a given array represents a Binary Heap?
  16. Connect n ropes with minimum cost
  17. Design an efficient data structure for given operations
  18. Merge k sorted arrays | Set 1
  19. Merge Sort Tree for Range Order Statistics
  20. Sort numbers stored on different machines
  21. Smallest Derangement of Sequence
  22. Largest Derangement of a Sequence
  23. K maximum sum combinations from two arrays
  24. Maximum distinct elements after removing k elements
  25. Maximum difference between two subsets of m elements
  26. Height of a complete binary tree (or Heap) with N nodes
  27. Heap Sort for decreasing order using min heap
  28. Print all nodes less than a value x in a Min Heap.
  29. Median of Stream of Running Integers using STL
  30. Largest triplet product in a stream
  31. Find k numbers with most occurrences in the given array
  32. Convert BST to Min Heap
  33. Merge two binary Max Heaps
  34. K-th Largest Sum Contiguous Subarray
  35. Minimum product of k integers in an array of positive Integers
  36. Leaf starting point in a Binary Heap data structure
  37. Why is Binary Heap Preferred over BST for Priority Queue?
  38. Convert min Heap to max Heap
  39. Given level order traversal of a Binary Tree, check if the Tree is a Min-Heap
  40. Rearrange characters in a string such that no two adjacent are same
  41. Implementation of Binomial Heap
  42. Array Representation Of Binary Heap
  43. Sum of all elements between k1’th and k2’th smallest elements
  44. Minimum sum of two numbers formed from digits of an array
  45. K’th largest element in a stream
  46. k largest(or smallest) elements in an array | added Min Heap method
  47. Median in a stream of integers (running integers)
  48. Sort a nearly sorted (or K sorted) array

Misc :

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