In Dijkstra's algorithm, how is the next node to process selected?

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Question: In Dijkstra\'s algorithm, how is the next node to process selected?

Options:

Correct Answer: By selecting the node with the lowest tentative distance

Solution:

The next node to process in Dijkstra\'s algorithm is selected based on the lowest tentative distance, ensuring the shortest path is explored first.

In Dijkstra's algorithm, how is the next node to process selected?

In Dijkstra's algorithm, how is the next node to process selected?

Step 1: Start with a list of all nodes in the graph.
Step 2: Assign a tentative distance value to every node. Set the initial node's distance to 0 and all others to infinity.
Step 3: Mark all nodes as unvisited. Set the initial node as the current node.
Step 4: For the current node, look at all its unvisited neighbors and calculate their tentative distances.
Step 5: If the calculated distance to a neighbor is less than its current tentative distance, update it.
Step 6: Once all neighbors have been considered, mark the current node as visited.
Step 7: Select the unvisited node with the smallest tentative distance as the next current node.
Step 8: Repeat steps 4 to 7 until all nodes have been visited.

Dijkstra's Algorithm – An algorithm used for finding the shortest paths between nodes in a graph, particularly useful for weighted graphs.
Tentative Distance – The current best-known distance from the starting node to a given node, which is updated as the algorithm progresses.
Node Selection – The process of choosing the next node to explore based on the lowest tentative distance.