What is the complexity of Dijkstra's algorithm?
Understand the Problem
The question is asking about the time complexity of Dijkstra's algorithm, which is used for finding the shortest path in a graph. The high-level approach requires understanding the algorithm's functionality and how it processes nodes and edges.
Answer
O(E log V) with min-priority queue and O(V^2) with adjacency matrix
The final answer is O(E log V) using a min-priority queue and O(V^2) using an adjacency matrix.
Answer for screen readers
The final answer is O(E log V) using a min-priority queue and O(V^2) using an adjacency matrix.
More Information
Dijkstra's algorithm is commonly used to find the shortest paths from a single source vertex to all other vertices in a weighted graph with non-negative weights.
Sources
- Time & Space Complexity of Dijkstra's Algorithm - GeeksforGeeks - geeksforgeeks.org
- Dijkstra's Algorithm for Adjacency List Representation | Greedy Algo-8 - GeeksforGeeks - geeksforgeeks.org
- Understanding Time complexity calculation for Dijkstra Algorithm - Stack Overflow - stackoverflow.com
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