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In Dijkstra's algorithm, what does the priority queue store?

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Question: In Dijkstra\'s algorithm, what does the priority queue store?

Options:

  1. All vertices
  2. Only visited vertices
  3. Only unvisited vertices
  4. Only the shortest path vertices

Correct Answer: Only unvisited vertices

Solution:

The priority queue in Dijkstra\'s algorithm stores only the unvisited vertices, allowing the algorithm to efficiently select the next vertex with the smallest tentative distance.

In Dijkstra's algorithm, what does the priority queue store?

Practice Questions

Q1
In Dijkstra's algorithm, what does the priority queue store?
  1. All vertices
  2. Only visited vertices
  3. Only unvisited vertices
  4. Only the shortest path vertices

Questions & Step-by-Step Solutions

In Dijkstra's algorithm, what does the priority queue store?
  • Step 1: Understand that Dijkstra's algorithm is used to find the shortest path in a graph.
  • Step 2: Know that a graph consists of vertices (points) and edges (connections between points).
  • Step 3: Realize that during the algorithm, we need to keep track of which vertices we have visited and which we have not.
  • Step 4: The priority queue is a special data structure that helps us manage the unvisited vertices.
  • Step 5: The priority queue stores only the unvisited vertices that we still need to explore.
  • Step 6: Each vertex in the priority queue has a tentative distance, which is the current shortest distance we know to reach that vertex.
  • Step 7: The priority queue allows us to efficiently select the vertex with the smallest tentative distance to visit next.
  • Priority Queue in Dijkstra's Algorithm – The priority queue is used to manage the unvisited vertices based on their tentative distances, enabling efficient selection of the next vertex to process.
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