Which of the following is a key step in Dijkstra's algorithm?

Practice Questions

Q1
Which of the following is a key step in Dijkstra's algorithm?
  1. Updating the distance of adjacent vertices
  2. Sorting the vertices
  3. Removing the vertex from the graph
  4. Adding edges to the graph

Questions & Step-by-Step Solutions

Which of the following is a key step in Dijkstra's algorithm?
  • Step 1: Start with a graph that has vertices (points) and edges (connections between points).
  • Step 2: Choose a starting vertex and set its distance to 0 (since it's the starting point).
  • Step 3: Set the distance of all other vertices to infinity (meaning they are not reachable yet).
  • Step 4: Look at the current vertex and check all its adjacent vertices (the ones directly connected to it).
  • Step 5: For each adjacent vertex, calculate the distance from the starting vertex to that adjacent vertex through the current vertex.
  • Step 6: If this calculated distance is less than the previously recorded distance for that adjacent vertex, update its distance.
  • Step 7: Mark the current vertex as visited (meaning you won't check it again).
  • Step 8: Move to the unvisited vertex with the smallest distance and repeat steps 4 to 7 until all vertices are visited.
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