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Which of the following is NOT a valid application of Dijkstra's algorithm?

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Question: Which of the following is NOT a valid application of Dijkstra\'s algorithm?

Options:

  1. Finding the shortest path in a road network
  2. Finding the shortest path in a weighted graph
  3. Finding the minimum spanning tree
  4. Finding the shortest path in a communication network

Correct Answer: Finding the minimum spanning tree

Solution:

Dijkstra\'s algorithm is not used for finding the minimum spanning tree; algorithms like Prim\'s or Kruskal\'s are used for that purpose.

Which of the following is NOT a valid application of Dijkstra's algorithm?

Practice Questions

Q1
Which of the following is NOT a valid application of Dijkstra's algorithm?
  1. Finding the shortest path in a road network
  2. Finding the shortest path in a weighted graph
  3. Finding the minimum spanning tree
  4. Finding the shortest path in a communication network

Questions & Step-by-Step Solutions

Which of the following is NOT a valid application of Dijkstra's algorithm?
  • Step 1: Understand what Dijkstra's algorithm is used for. It is used to find the shortest path from a starting point to all other points in a graph.
  • Step 2: Identify the types of problems Dijkstra's algorithm can solve, such as finding the shortest route in a map or network.
  • Step 3: Learn about minimum spanning trees, which connect all points in a graph with the least total weight without forming any cycles.
  • Step 4: Recognize that Dijkstra's algorithm is not designed for minimum spanning trees; instead, algorithms like Prim's or Kruskal's are used for that purpose.
  • Step 5: Conclude that the question is asking for an application that Dijkstra's algorithm does not cover, which is finding the minimum spanning tree.
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