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

Dijkstra Algorithm Questions



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

The edge relaxation process in the Dijkstra Algorithm is significant as it helps to update the shortest distance from the source vertex to all other vertices in the graph. It involves comparing the current shortest distance to a vertex with the distance obtained by adding the weight of the edge connecting the current vertex to its adjacent vertex. If the new distance is smaller, the shortest distance is updated, and the previous vertex is set as the parent of the adjacent vertex. This process is repeated for all edges in the graph, ensuring that the algorithm finds the shortest path from the source vertex to all other vertices.