Which of the following scenarios would require the use of an alternative to Dijk

Practice Questions

Q1
Which of the following scenarios would require the use of an alternative to Dijkstra's algorithm?
  1. Finding the shortest path in a road network
  2. Calculating 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 structure

Questions & Step-by-Step Solutions

Which of the following scenarios would require the use of an alternative to Dijkstra's algorithm?
  • Step 1: Understand what Dijkstra's algorithm does. It finds the shortest path in a graph with non-negative weights.
  • Step 2: Identify what negative weight edges are. These are edges in a graph that have a weight (or cost) that is less than zero.
  • Step 3: Recognize that Dijkstra's algorithm does not work correctly with negative weight edges. It can give wrong results.
  • Step 4: Learn about an alternative algorithm called Bellman-Ford. This algorithm can handle graphs with negative weight edges.
  • Step 5: Conclude that if a graph has negative weight edges, you should use Bellman-Ford instead of Dijkstra's algorithm.
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