Dijkstra Algorithm Questions
The edge relaxation termination condition in the Dijkstra Algorithm is significant because it helps ensure that the algorithm terminates and finds the shortest path correctly. This condition checks if the distance to a vertex can be updated by considering a neighboring vertex and its corresponding edge weight. If the condition is not met, it means that the current shortest path to that vertex is already optimal and no further relaxation is needed. By terminating the relaxation process for a vertex when its distance cannot be improved, the algorithm avoids unnecessary computations and guarantees that the shortest path is found efficiently.