How does Dijkstra's algorithm handle nodes that have already been visited?

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Question: How does Dijkstra\'s algorithm handle nodes that have already been visited?

Options:

Correct Answer: It ignores them

Solution:

Once a node has been visited and its shortest distance determined, Dijkstra\'s algorithm ignores it in future iterations.

How does Dijkstra's algorithm handle nodes that have already been visited?

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.