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What is the output of Dijkstra's algorithm if the graph has multiple shortest pa
What is the output of Dijkstra's algorithm if the graph has multiple shortest paths?
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What is the output of Dijkstra's algorithm if the graph has multiple shortest paths?
One of the shortest paths
All shortest paths
The longest path
No path
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Dijkstra's algorithm will return one of the shortest paths, but not necessarily all of them.
Questions & Step-by-step Solutions
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Q
Q: What is the output of Dijkstra's algorithm if the graph has multiple shortest paths?
Solution:
Dijkstra's algorithm will return one of the shortest paths, but not necessarily all of them.
Steps: 5
Show Steps
Step 1: Understand that Dijkstra's algorithm is used to find the shortest path in a graph.
Step 2: Recognize that a graph can have multiple paths that are equally short between two points.
Step 3: When Dijkstra's algorithm runs, it explores paths and keeps track of the shortest distance to each point.
Step 4: If there are multiple paths with the same shortest distance, Dijkstra's algorithm will choose one of them based on its internal logic.
Step 5: The output will be one of the shortest paths, but it won't show all possible shortest paths.
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