What is the output of Dijkstra's algorithm if the graph is disconnected?

Practice Questions

Q1
What is the output of Dijkstra's algorithm if the graph is disconnected?
  1. Shortest path to all nodes
  2. Shortest path to reachable nodes only
  3. No path found
  4. An error

Questions & Step-by-Step Solutions

What is the output of Dijkstra's algorithm if the graph is disconnected?
  • Step 1: Understand that Dijkstra's algorithm is used to find the shortest path from a starting node to other nodes in a graph.
  • Step 2: Recognize that a disconnected graph means some nodes cannot be reached from the starting node.
  • Step 3: When Dijkstra's algorithm runs, it will calculate the shortest paths to all nodes that are reachable from the starting node.
  • Step 4: For nodes that are not reachable (because the graph is disconnected), Dijkstra's algorithm will indicate that the distance to these nodes is infinite.
  • Step 5: The final output will show the shortest paths to reachable nodes and infinite distance for unreachable nodes.
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