Question

Which of the following algorithms considers all pairs of shortest paths?

• A. A* search algorithm
• B. Dijkstra’s algorithm
• C. Bellman-Ford algorithm
• D. Floyd-Warshall algorithm

Hint:

The Floyd-Warshall algorithm is a great choice when you need to find the shortest paths between all pairs of nodes. If you only need the shortest path from one node to another, algorithms like Dijkstra’s may be more efficient.

Answer 1

The Correct Option is D

The Floyd-Warshall algorithm computes all pairs of shortest paths in a weighted graph. It is an efficient algorithm that calculates the shortest path between every pair of vertices in \( O(n^3) \) time, where \( n \) is the number of vertices in the graph. This algorithm is useful for applications where you need to know the shortest paths between all pairs of nodes, such as network routing and transshipment problems.