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:
- 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.
- 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.
- Introduction to Heap – Data Structure and Algorithm Tutorials
- Binary Heap
- Applications, Advantages and Disadvantages of Heap
- Time Complexity of building a heap
- Applications of Heap Data Structure
- Comparison between Heap and Tree
- When building a Heap, is the structure of Heap unique?
- Heap Sort
- Check if a given Binary Tree is Heap
- How to check if a given array represents a Binary Heap?
- Iterative Heap Sort
- K’th Largest Element in an array
- K’th Smallest/Largest Element in Unsorted Array | Set 1
- Height of a complete binary tree (or Heap) with N nodes
- Heap Sort for decreasing order using min heap
- Sort an almost sorted array
- Print all nodes less than a value x in a Min Heap.
- Tournament Tree (Winner Tree) and Binary Heap
- Connect n ropes with minimum cost
- Maximum distinct elements after removing k elements
- K maximum sum combinations from two arrays
- Median of Stream of Running Integers using STL
- Median in a stream of integers (running integers)
- K’th largest element in a stream
- Largest triplet product in a stream
- Find k numbers with most occurrences in the given array
- Convert min Heap to max Heap
- Given level order traversal of a Binary Tree, check if the Tree is a Min-Heap
- Design an efficient data structure for given operations
- Merge k sorted arrays | Set 1
- Merge Sort Tree for Range Order Statistics
- Sort numbers stored on different machines
- Smallest Derangement of Sequence
- Largest Derangement of a Sequence
- Maximum difference between two subsets of m elements
- Convert BST to Min Heap
- Merge two binary Max Heaps
- K-th Largest Sum Contiguous Subarray
- Minimum product of k integers in an array of positive Integers
- Leaf starting point in a Binary Heap data structure
- Rearrange characters in a string such that no two adjacent are same
- Sum of all elements between k1’th and k2’th smallest elements
- Minimum sum of two numbers formed from digits of an array
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