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

Dijkstra Algorithm Questions



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

The edge relaxation in the Dijkstra Algorithm is significant because 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 neighboring vertex. If the new distance is smaller, the shortest distance is updated and the neighboring vertex is added to the priority queue for further exploration. This process continues until all vertices have been visited and the shortest distances to all vertices have been determined.