Dijkstra Algorithm Questions Medium
The role of path finding in the Dijkstra Algorithm is to determine the shortest path between a starting node and all other nodes in a weighted graph. The algorithm calculates the shortest distance from the starting node to all other nodes by iteratively exploring the neighboring nodes and updating the distances based on the weights of the edges.
During the execution of the Dijkstra Algorithm, a priority queue is used to keep track of the nodes with the shortest distance from the starting node. The algorithm selects the node with the minimum distance from the priority queue and explores its neighboring nodes, updating their distances if a shorter path is found. This process continues until all nodes have been visited or the destination node is reached.
The path finding aspect of the algorithm is crucial in determining the shortest path. As the algorithm progresses, it keeps track of the shortest distance from the starting node to each visited node. Additionally, it also maintains information about the previous node that leads to the current node with the shortest distance. This information allows the algorithm to reconstruct the shortest path from the starting node to any other node once the algorithm terminates.
In summary, the path finding in the Dijkstra Algorithm plays a vital role in finding the shortest path by iteratively exploring neighboring nodes, updating distances, and keeping track of the previous nodes to reconstruct the shortest path.