If a graph has negative weight edges, which algorithm should be used instead of

Practice Questions

Q1
If a graph has negative weight edges, which algorithm should be used instead of Dijkstra's?
  1. Prim's algorithm
  2. Kruskal's algorithm
  3. Bellman-Ford algorithm
  4. A* algorithm

Questions & Step-by-Step Solutions

If a graph has negative weight edges, which algorithm should be used instead of Dijkstra's?
  • 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 weight edges, Dijkstra's algorithm may not work correctly.
  • Step 3: Learn about the Bellman-Ford algorithm, which is designed to handle graphs with negative weight edges.
  • Step 4: Remember that the Bellman-Ford algorithm can also detect negative weight cycles in the graph.
  • Graph Algorithms – Understanding different algorithms for finding the shortest path in graphs, particularly the limitations of Dijkstra's algorithm with negative weight edges.
  • Negative Weight Edges – Recognizing the implications of having edges with negative weights in a graph and how they affect the choice of algorithm.
  • Bellman-Ford Algorithm – An algorithm that can compute shortest paths from a single source vertex to all other vertices in a graph, even when negative weight edges are present.
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