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All Pairs Shortest Path (Floyd-Warshall) - Dynamic Programming Video Lecture | Algorithms - Computer Science Engineering (CSE)
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FAQs on All Pairs Shortest Path (Floyd-Warshall) - Dynamic Programming Video Lecture - Algorithms - Computer Science Engineering (CSE)
| 1. What is the main purpose of the Floyd-Warshall algorithm? |  |
Ans. The Floyd-Warshall algorithm is used to find the shortest paths between all pairs of vertices in a weighted graph, including negative edge weights.
| 2. How does the Floyd-Warshall algorithm handle negative edge weights in a graph? | |
Ans. The Floyd-Warshall algorithm can handle negative edge weights in a graph by correctly identifying the shortest paths even in the presence of negative weights.
| 3. What is the time complexity of the Floyd-Warshall algorithm? | |
Ans. The time complexity of the Floyd-Warshall algorithm is O(V^3), where V is the number of vertices in the graph.
| 4. Can the Floyd-Warshall algorithm be used to detect negative cycles in a graph? | |
Ans. Yes, the Floyd-Warshall algorithm can be used to detect negative cycles in a graph by checking if any diagonal element in the distance matrix becomes negative after running the algorithm.
| 5. In what scenarios is the Floyd-Warshall algorithm preferred over other shortest path algorithms like Dijkstra's algorithm? | |
Ans. The Floyd-Warshall algorithm is preferred over other shortest path algorithms like Dijkstra's algorithm when the graph has negative edge weights or when we need to find the shortest paths between all pairs of vertices in the graph.
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Dec 24, 2024 Last updated |
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