What is Prim's time complexity?
Understand the Problem
The question is asking about the time complexity of Prim's algorithm, which is used for finding the minimum spanning tree in a graph. It requires an understanding of graph theory and algorithmic efficiency.
Answer
O(E log V)
The time complexity of Prim's Algorithm is O(E log V)
Answer for screen readers
The time complexity of Prim's Algorithm is O(E log V)
More Information
This time complexity occurs when using a priority queue such as a Fibonacci heap to select the minimum-weight edge efficiently.
Tips
A common mistake is confusing the time complexity with other variations of Prim's algorithm that might implement less efficient data structures.
Sources
- Time Complexity Analysis of Prim's Algorithm - GeeksforGeeks - geeksforgeeks.org
- Time Complexity of Prims Algorithm - Stack Overflow - stackoverflow.com
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