In a graph, if there are multiple paths to reach a node, how does Dijkstra's alg

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Question: In a graph, if there are multiple paths to reach a node, how does Dijkstra\'s algorithm choose the path?

Options:

Correct Answer: It chooses the path with the minimum weight

Solution:

Dijkstra\'s algorithm always chooses the path with the minimum weight to ensure the shortest path is found.

In a graph, if there are multiple paths to reach a node, how does Dijkstra's algorithm choose the path?

In a graph, if there are multiple paths to reach a node, how does Dijkstra's algorithm choose the path?

Step 1: Start at the initial node and set its distance to 0.
Step 2: Set the distance to all other nodes as infinity.
Step 3: Mark the initial node as the current node.
Step 4: Look at all the neighbors of the current node and calculate their tentative distances.
Step 5: If a neighbor can be reached with a shorter path than previously known, update its distance.
Step 6: Once all neighbors are checked, mark the current node as visited.
Step 7: Choose the unvisited node with the smallest tentative distance as the new current node.
Step 8: Repeat steps 4 to 7 until all nodes are visited or the shortest path to the target node is found.
Step 9: If multiple paths lead to a node, Dijkstra's algorithm will always choose the path with the minimum weight (shortest distance).

Dijkstra's Algorithm – An algorithm used to find the shortest path from a starting node to all other nodes in a weighted graph.
Path Selection – Dijkstra's algorithm selects the path with the minimum cumulative weight to reach a node.