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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