What are some common implementations of priority queues?

What are some common implementations of priority queues?

Common implementations of priority queues include binary heaps, Fibonacci heaps, and unsorted or sorted arrays.

Can you explain how a binary heap works?

A binary heap is a complete binary tree where each node is smaller (min-heap) or larger (max-heap) than its children, allowing efficient access to the highest or lowest priority element.

What are the time complexities for inserting and deleting elements in a binary heap?

In a binary heap, both insertion and deletion operations have a time complexity of O(log n), where n is the number of elements in the heap.

Are there any real-world applications of priority queues?

Yes, priority queues are used in scheduling algorithms, Dijkstra's algorithm for shortest paths, and in managing tasks in operating systems.