In Dijkstra's algorithm, how is the next node to process selected?

Practice Questions

Q1
In Dijkstra's algorithm, how is the next node to process selected?
  1. By selecting the node with the highest degree
  2. By selecting the node with the lowest tentative distance
  3. By selecting the node that was added last
  4. By selecting a random node

Questions & Step-by-Step Solutions

In Dijkstra's algorithm, how is the next node to process selected?
  • Step 1: Start with a list of all nodes in the graph.
  • Step 2: Assign a tentative distance value to every node. Set the initial node's distance to 0 and all others to infinity.
  • Step 3: Mark all nodes as unvisited. Set the initial node as the current node.
  • Step 4: For the current node, look at all its unvisited neighbors and calculate their tentative distances.
  • Step 5: If the calculated distance to a neighbor is less than its current tentative distance, update it.
  • Step 6: Once all neighbors have been considered, mark the current node as visited.
  • Step 7: Select the unvisited node with the smallest tentative distance as the next current node.
  • Step 8: Repeat steps 4 to 7 until all nodes have been visited.
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