What is the significance of the edge relaxation condition in the Dijkstra Algorithm?

Dijkstra Algorithm Questions



80 Short 62 Medium 80 Long Answer Questions Question Index

What is the significance of the edge relaxation condition in the Dijkstra Algorithm?

The edge relaxation condition in the Dijkstra Algorithm is significant as it helps to update the shortest distance to each vertex in the graph. By relaxing the edges, the algorithm continuously improves the estimated shortest path from the source vertex to all other vertices. This condition ensures that the algorithm explores all possible paths and gradually finds the shortest path by comparing and updating the distances. Without the edge relaxation condition, the algorithm would not be able to determine the shortest path accurately.