Heap Data Structure is generally taught with Heapsort. Heapsort algorithm has limited uses because Quicksort is better in practice. Nevertheless, the Heap data structure itself is enormously used. Following are some uses other than Heapsort.
Priority Queues: Priority queues can be efficiently implemented using Binary Heap because it supports insert(), delete() and extractmax(), decreaseKey() operations in O(logn) time. Binomoial Heap and Fibonacci Heap are variations of Binary Heap. These variations perform union also in O(logn) time which is a O(n) operation in Binary Heap. Heap Implemented priority queues are used in Graph algorithms like Prim’s Algorithm and Dijkstra’s algorithm.
Order statistics: The Heap data structure can be used to efficiently find the kth smallest (or largest) element in an array. See method 4 and 6 of this post for details.
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- Heap Sort for decreasing order using min heap
- Design an efficient data structure for given operations
- Convert min Heap to max Heap
- Applications of Priority Queue
- K-ary Heap
- K’th Least Element in a Min-Heap
- Skew Heap
- Max Heap in Java
- Binomial Heap
- Convert BST to Min Heap
- Convert BST to Max Heap
- Binary Heap
- Where is Heap Sort used practically?