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In which scenario is Dijkstra's algorithm most efficient?

Practice Questions

Q1
In which scenario is Dijkstra's algorithm most efficient?
  1. When all edge weights are equal
  2. When the graph is sparse
  3. When the graph is dense
  4. When there are many negative weights

Questions & Step-by-Step Solutions

In which scenario is Dijkstra's algorithm most efficient?
  • Step 1: Understand what Dijkstra's algorithm does. It finds the shortest path from one point to another in a graph.
  • Step 2: Know what a sparse graph is. A sparse graph has fewer edges compared to the maximum number of edges it could have.
  • Step 3: Recognize that Dijkstra's algorithm works better when there are fewer edges to check, as it can quickly find the shortest path.
  • Step 4: Conclude that in a sparse graph, Dijkstra's algorithm is efficient because it has less data to process.
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