In which scenario is Dijkstra's algorithm most effective?

Practice Questions

Q1
In which scenario is Dijkstra's algorithm most effective?
  1. When all edge weights are negative
  2. When edge weights are non-negative
  3. When the graph is unweighted
  4. When the graph is a tree

Questions & Step-by-Step Solutions

In which scenario is Dijkstra's algorithm most effective?
  • Step 1: Understand what Dijkstra's algorithm is. It is a method used to find the shortest path between points in a graph.
  • Step 2: Know that a graph consists of nodes (points) and edges (connections between points).
  • Step 3: Learn about edge weights. Edge weights represent the cost or distance to travel from one node to another.
  • Step 4: Recognize that Dijkstra's algorithm works best when all edge weights are non-negative, meaning they are zero or positive.
  • Step 5: Understand that if there are negative edge weights, Dijkstra's algorithm may not find the correct shortest path.
  • Step 6: Conclude that Dijkstra's algorithm is most effective in scenarios where all edge weights are non-negative.
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