In Dijkstra's algorithm, what condition must be met for a vertex to be added to

Practice Questions

Q1
In Dijkstra's algorithm, what condition must be met for a vertex to be added to the set of visited vertices?
  1. It must have the smallest edge weight
  2. It must be the last vertex processed
  3. It must be connected to the source
  4. It must have the highest degree

Questions & Step-by-Step Solutions

In Dijkstra's algorithm, what condition must be met for a vertex to be added to the set of visited vertices?
  • Step 1: Start with a source vertex and set its tentative distance to 0.
  • Step 2: Set the tentative distances of all other vertices to infinity.
  • Step 3: Look at all the vertices that have not been visited yet.
  • Step 4: Find the vertex with the smallest tentative distance among the unvisited vertices.
  • Step 5: Add this vertex to the set of visited vertices.
  • Step 6: Update the tentative distances of its neighboring vertices based on the distance to the current vertex.
  • Step 7: Repeat steps 3 to 6 until all vertices have been visited.
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