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Can Dijkstra's Algorithm Handle Negative Weights?

An example of an AI chatbot conversation about Dijkstra's algorithm and negative weights.

😀
You

Can Dijkstra's algorithm handle negative weights in graphs?

MagicBuddy
MagicBuddy

No, Dijkstra's algorithm cannot handle negative weights. It assumes that once a node's shortest path is found, it won't change.

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You

What happens if there are negative weights?

MagicBuddy
MagicBuddy

If there are negative weights, Dijkstra's algorithm may produce incorrect results, as it can lead to revisiting nodes.

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You

What algorithm should I use for graphs with negative weights?

MagicBuddy
MagicBuddy

You should use the Bellman-Ford algorithm, which can handle negative weights and detect negative cycles.

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You

Are there any limitations to the Bellman-Ford algorithm?

MagicBuddy
MagicBuddy

Yes, Bellman-Ford is slower than Dijkstra's algorithm, with a time complexity of O(VE), where V is vertices and E is edges.

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