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

Practice Questions

Q1
In a graph, if there are multiple paths to reach a node, how does Dijkstra's algorithm choose the path?
  1. It chooses the path with the maximum weight
  2. It chooses the path with the minimum weight
  3. It chooses the first path it encounters
  4. It randomly selects a path

Questions & Step-by-Step Solutions

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).
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