Question:
The _______ process updates the costs of all the vertices \(V\), connected to a vertex \(U\), if we could improve the best estimate of the shortest path to \(V\) by including \((U,V)\) in the path to \(V\).
The _______ process updates the costs of all the vertices \(V\), connected to a vertex \(U\), if we could improve the best estimate of the shortest path to \(V\) by including \((U,V)\) in the path to \(V\).
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Relaxation is a key step in algorithms that find the shortest paths, like Dijkstra's algorithm.
Updated On: Jun 16, 2025
- Relaxation
- Improvement
- Shortening
- Costing
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The Correct Option is A
Solution and Explanation
The relaxation process in algorithms like Dijkstra’s or Bellman-Ford updates the shortest path estimates by checking if a shorter path to a vertex can be found via another vertex. Relaxation ensures that we iteratively improve the shortest path estimates by including edges one by one.
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