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What condition must be met for Dijkstra's algorithm to work correctly?

Practice Questions

Q1
What condition must be met for Dijkstra's algorithm to work correctly?
  1. All edge weights must be positive
  2. The graph must be a tree
  3. All nodes must be connected
  4. The graph must be directed

Questions & Step-by-Step Solutions

What condition must be met for Dijkstra's algorithm to work correctly?
  • Step 1: Understand what Dijkstra's algorithm does. It finds the shortest path from a starting point to all other points in a graph.
  • Step 2: Know that a graph is made up of nodes (points) and edges (connections between points).
  • Step 3: Recognize that each edge has a weight, which represents the cost or distance to travel that edge.
  • Step 4: Realize that if any edge weight is negative, it can lead to incorrect shortest path calculations.
  • Step 5: Conclude that for Dijkstra's algorithm to work correctly, all edge weights must be zero or positive (non-negative).
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