In which scenario is Dijkstra's algorithm most effectively applied?

Practice Questions

Q1
In which scenario is Dijkstra's algorithm most effectively applied?
  1. Finding the shortest path in an unweighted graph
  2. Finding the shortest path in a weighted graph with non-negative weights
  3. Finding the longest path in a graph
  4. Finding a cycle in a graph

Questions & Step-by-Step Solutions

In which scenario is Dijkstra's algorithm most effectively applied?
  • 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 what a weighted graph is. A weighted graph is a graph where each edge has a number (weight) that represents the cost or distance to travel that edge.
  • Step 3: Recognize that Dijkstra's algorithm works best when all the weights (costs) of the edges are non-negative. This means that you cannot have negative numbers as weights.
  • Step 4: Identify scenarios where you need to find the shortest path, such as navigating maps, network routing, or optimizing travel routes.
  • Step 5: Conclude that Dijkstra's algorithm is most effectively applied in situations where you have a weighted graph with non-negative edge weights.
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