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What is the output of Dijkstra's algorithm?

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Question: What is the output of Dijkstra\'s algorithm?

Options:

  1. The shortest path from the source to a single destination
  2. The shortest path from the source to all destinations
  3. The longest path in the graph
  4. The minimum spanning tree of the graph

Correct Answer: The shortest path from the source to all destinations

Solution: 

The output of Dijkstra\'s algorithm is the shortest path from the source to all destinations in the graph.

What is the output of Dijkstra's algorithm?

Practice Questions

Q1
What is the output of Dijkstra's algorithm?
  1. The shortest path from the source to a single destination
  2. The shortest path from the source to all destinations
  3. The longest path in the graph
  4. The minimum spanning tree of the graph

Questions & Step-by-Step Solutions

What is the output of Dijkstra's algorithm?
  • Step 1: Start with a graph that has nodes (points) and edges (connections between points).
  • Step 2: Choose a starting point (source) in the graph.
  • Step 3: Set the distance to the source node as 0 and all other nodes as infinity (unknown distance).
  • Step 4: Mark the source node as visited.
  • Step 5: Look at all the neighboring nodes of the source node and calculate their distances from the source.
  • Step 6: Update the distances of the neighboring nodes if the calculated distance is shorter than the previously known distance.
  • Step 7: Mark the neighboring node with the smallest distance as the new current node.
  • Step 8: Repeat steps 5 to 7 until all nodes have been visited.
  • Step 9: The output will be the shortest distance from the source to each node in the graph.
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