If a graph has negative edge weights, which algorithm can be used instead of Dij

Practice Questions

Q1
If a graph has negative edge weights, which algorithm can be used instead of Dijkstra's algorithm?
  1. Prim's Algorithm
  2. Kruskal's Algorithm
  3. Bellman-Ford Algorithm
  4. Floyd-Warshall Algorithm

Questions & Step-by-Step Solutions

If a graph has negative edge weights, which algorithm can be used instead of Dijkstra's algorithm?
  • Step 1: Understand that Dijkstra's algorithm is used to find the shortest path in a graph with non-negative edge weights.
  • Step 2: Recognize that if a graph has negative edge weights, Dijkstra's algorithm may not work correctly.
  • Step 3: Learn about the Bellman-Ford algorithm, which is designed to handle graphs with negative edge weights.
  • Step 4: Remember that the Bellman-Ford algorithm can also detect negative cycles in the graph.
  • Graph Algorithms – Understanding different algorithms for finding the shortest path in graphs, particularly in the context of edge weights.
  • Negative Edge Weights – Recognizing the implications of negative edge weights on the choice of algorithms for shortest path calculations.
  • Dijkstra's Algorithm Limitations – Knowing that Dijkstra's algorithm cannot handle graphs with negative edge weights.
  • Bellman-Ford Algorithm – Understanding the Bellman-Ford algorithm's ability to handle negative edge weights and its use case.
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