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How does Dijkstra's algorithm work?

An example of an AI chatbot conversation about Dijkstra's algorithm for finding shortest paths.

😀
You

Can you explain how Dijkstra's algorithm works?

MagicBuddy
MagicBuddy

Sure! Dijkstra's algorithm finds the shortest path from a starting node to all other nodes in a graph.

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You

What kind of graphs can it be applied to?

MagicBuddy
MagicBuddy

It works on weighted graphs with non-negative weights. It can't handle negative weight edges.

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You

How does it actually find the shortest path?

MagicBuddy
MagicBuddy

It uses a priority queue to explore the nearest unvisited node, updating distances until all nodes are visited.

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You

Can you give me a simple example?

MagicBuddy
MagicBuddy

Of course! Imagine a map with cities as nodes and roads as edges. Dijkstra's finds the quickest route between cities.

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