What is the time complexity of priority queue operations?

What is the time complexity of priority queue operations?

The time complexity of priority queue operations varies depending on the implementation. For a binary heap, insertion and deletion operations have a time complexity of O(log n), while accessing the minimum element is O(1).

Are there other implementations of priority queues?

Yes, priority queues can also be implemented using unsorted arrays, sorted arrays, or Fibonacci heaps, each with different time complexities.

What are the time complexities for these other implementations?

For an unsorted array, insertion is O(1) and deletion is O(n). For a sorted array, insertion is O(n) and deletion is O(1). Fibonacci heaps offer amortized time complexities of O(1) for insertion and O(log n) for deletion.

Which implementation is the most efficient?

It depends on the use case. For most applications, binary heaps are efficient and widely used. Fibonacci heaps are more efficient for specific scenarios involving many decrease-key operations.