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

Dijkstra Algorithm Questions



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

The edge relaxation step in the Dijkstra Algorithm is significant as it updates the shortest distance to each vertex from the source vertex. It involves comparing the current shortest distance to a vertex with the sum of the distance from the source vertex to the current vertex and the weight of the edge connecting them. If the sum is smaller, the shortest distance is updated. This step allows the algorithm to gradually find the shortest path from the source vertex to all other vertices in the graph.