D-ary Heap
D-ary heap is a generalization of the binary heap, allowing each node to have D children instead of 2. The value of D determines the arity of the heap, with binary heap being a special case (D=2).
- Characteristics:
- Generalization of binary heap with D children per node.
- Uses:
- Varying arity based on specific needs.
- Applications:
- D-ary heaps can be tailored for specific applications requiring a particular arity.
Problem | Description |
---|---|
Decrease Key Operation | Implement the decrease key operation efficiently in a Fibonacci heap. |
Merge Two Fibonacci Heaps | Efficiently merge two Fibonacci heaps into a single Fibonacci heap. |
Dijkstra’s Shortest Path Algorithm | Use a Fibonacci heap to implement Dijkstra’s algorithm for finding shortest paths. |
Prim’s Minimum Spanning Tree | Implement Prim’s algorithm using a Fibonacci heap to find a minimum spanning tree. |
Extract Minimum Element | Implement the extraction of the minimum element in a Fibonacci heap. |
Types of Heap Data Structure
Different types of heap data structures include fundamental types like min heap and max heap, binary heap and many more. In this post, we will look into their characteristics, and their use cases. Understanding the characteristics and use cases of these heap data structures helps in choosing the most suitable one for a particular algorithm or application. Each type of heap has its own advantages and trade-offs, and the choice depends on the specific requirements of the problem at hand.
Table of Content
- 1. Binary Heap
- 2. Min Heap
- 3. Max Heap
- 4. Binomial Heap
- 5. Fibonacci Heap
- 6. D-ary Heap
- 7. Pairing Heap
- 8. Leftist Heap
- 9. Skew Heap
- 10. B-Heap
- Comparison between different types of Heap