What is the significance of the edge relaxation termination step in the Dijkstra Algorithm?

Dijkstra Algorithm Questions



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What is the significance of the edge relaxation termination step in the Dijkstra Algorithm?

The edge relaxation termination step in the Dijkstra Algorithm is significant because it ensures that the algorithm terminates and guarantees the shortest path from the source vertex to all other vertices in a weighted graph. This step involves updating the distance and predecessor values of each vertex based on the current shortest path found, and it continues until all vertices have been visited or until the shortest path to the target vertex has been found. By terminating the edge relaxation process, the algorithm ensures that the shortest path has been determined and further iterations are unnecessary.