Dijkstra Algorithm Questions Medium
In the Dijkstra Algorithm, the role of a visited vertex is to keep track of the shortest distance from the source vertex to that particular vertex. When a vertex is visited, it means that its shortest distance from the source vertex has been determined and will not be updated further. This helps in ensuring that the algorithm explores all possible paths from the source vertex to all other vertices and finds the shortest path efficiently.
By marking a vertex as visited, the algorithm ensures that it does not revisit the same vertex again, preventing unnecessary computations and improving the overall efficiency of the algorithm. Additionally, the visited vertex also helps in determining the shortest path by keeping track of the previous vertex in the path, allowing the algorithm to trace back the shortest path from the destination vertex to the source vertex.
Overall, the role of a visited vertex in the Dijkstra Algorithm is crucial in determining the shortest path from the source vertex to all other vertices in a graph efficiently and accurately.