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In which scenario is Dijkstra's algorithm not suitable?

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Question: In which scenario is Dijkstra\'s algorithm not suitable?

Options:

  1. Finding the shortest path in a road network
  2. Finding the shortest path in a graph with negative weights
  3. Finding the shortest path in a weighted graph
  4. Finding the shortest path in a tree

Correct Answer: Finding the shortest path in a graph with negative weights

Solution:

Dijkstra\'s algorithm is not suitable for graphs with negative weights, as it can produce incorrect results.

In which scenario is Dijkstra's algorithm not suitable?

Practice Questions

Q1
In which scenario is Dijkstra's algorithm not suitable?
  1. Finding the shortest path in a road network
  2. Finding the shortest path in a graph with negative weights
  3. Finding the shortest path in a weighted graph
  4. Finding the shortest path in a tree

Questions & Step-by-Step Solutions

In which scenario is Dijkstra's algorithm not suitable?
  • Step 1: Understand what Dijkstra's algorithm does. It finds the shortest path from one point to another in a graph.
  • Step 2: Know that a graph is made up of nodes (points) and edges (connections between points).
  • Step 3: Recognize that Dijkstra's algorithm works well when all edge weights (the cost to travel between nodes) are zero or positive.
  • Step 4: Learn what negative weights are. They are edge weights that are less than zero, meaning traveling along that edge reduces the total cost.
  • Step 5: Realize that if a graph has negative weights, Dijkstra's algorithm can make mistakes and give the wrong shortest path.
  • Step 6: Conclude that Dijkstra's algorithm is not suitable for graphs with negative weights.
  • Dijkstra's Algorithm – An algorithm used for finding the shortest paths between nodes in a graph, particularly suitable for graphs with non-negative weights.
  • Graph Weights – The values assigned to edges in a graph that represent the cost or distance to traverse from one node to another.
  • Negative Weights – Edge weights that are less than zero, which can lead to incorrect results when using certain shortest path algorithms.
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