How do Floyd-Warshall and Dijkstra's algorithms differ?
An example of an AI chatbot conversation about comparing Floyd-Warshall and Dijkstra's algorithms.
What are the main differences between Floyd-Warshall and Dijkstra's algorithms?
Floyd-Warshall is used for finding shortest paths in a weighted graph with all pairs, while Dijkstra's is for single-source shortest paths.
Can you explain the time complexity of both algorithms?
Sure! Floyd-Warshall has a time complexity of O(V^3), where V is the number of vertices. Dijkstra's algorithm has a time complexity of O(E + V log V) using a priority queue.
In what scenarios would you use one over the other?
Use Floyd-Warshall when you need shortest paths between all pairs of nodes, and Dijkstra's when you need the shortest path from a single source.
Are there any limitations to these algorithms?
Yes, Floyd-Warshall can handle negative weights but not negative cycles, while Dijkstra's cannot handle negative weights at all.
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