Explain how you would modify BFS to find the shortest path in a weighted graph.
- Assign weights to edges based on the number of nodes they connect.
- Augment BFS to consider edge weights and prioritize paths with lower total weights.
- BFS can be directly applied to weighted graphs without modification.
- Use Dijkstra's algorithm alongside BFS for finding the shortest path.
To find the shortest path in a weighted graph, modifying BFS involves incorporating Dijkstra's algorithm, which considers edge weights. Dijkstra's algorithm can be used alongside BFS to prioritize paths with lower total weights, ensuring the discovery of the shortest path.
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