How does Dijkstra's algorithm handle nodes that have already been visited?
Practice Questions
Q1
How does Dijkstra's algorithm handle nodes that have already been visited?
It ignores them
It re-evaluates their distances
It adds them to a stack
It removes them from the graph
Questions & Step-by-Step Solutions
How does Dijkstra's algorithm handle nodes that have already been visited?
Step 1: Start with a graph that has nodes and edges.
Step 2: Choose a starting node and set its distance to 0.
Step 3: Mark the starting node as visited.
Step 4: Look at all the neighboring nodes of the visited node.
Step 5: Calculate the distance to each neighboring node.
Step 6: If a neighboring node has not been visited, update its distance if the new distance is shorter.
Step 7: Once all neighbors are checked, choose the unvisited node with the smallest distance.
Step 8: Mark this new node as visited and repeat steps 4 to 7.
Step 9: If a node has already been visited, ignore it and do not check its neighbors again.
Step 10: Continue this process until all nodes have been visited.
Dijkstra's Algorithm – A graph search algorithm that finds the shortest path from a starting node to all other nodes in a weighted graph.
Visited Nodes – Nodes that have been processed and for which the shortest path has been determined, thus they are not reconsidered in future iterations.
