In which scenario would you prefer Dijkstra's algorithm over the Bellman-Ford al

Practice Questions

Q1
In which scenario would you prefer Dijkstra's algorithm over the Bellman-Ford algorithm?
  1. When the graph has negative weight edges
  2. When the graph is dense
  3. When the graph has non-negative weights
  4. When you need to find all pairs shortest paths

Questions & Step-by-Step Solutions

In which scenario would you prefer Dijkstra's algorithm over the Bellman-Ford algorithm?
  • Step 1: Understand that both Dijkstra's and Bellman-Ford are algorithms used to find the shortest path in a graph.
  • Step 2: Know that Dijkstra's algorithm works best when all the weights (costs) of the edges in the graph are non-negative (zero or positive).
  • Step 3: Recognize that Dijkstra's algorithm is generally faster and more efficient than Bellman-Ford when the graph has non-negative weights.
  • Step 4: Remember that Bellman-Ford can handle graphs with negative weights, but it is slower in comparison to Dijkstra's when there are no negative weights.
  • Step 5: Conclude that if you have a graph with only non-negative weights, you should choose Dijkstra's algorithm for better performance.
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