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

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Question: If a graph has negative edge weights, which algorithm can be used instead of Dijkstra\'s algorithm?

Options:

Correct Answer: Bellman-Ford Algorithm

Solution:

The Bellman-Ford algorithm can be used instead of Dijkstra\'s algorithm when the graph has negative edge weights, as it can handle such cases.

If a graph has negative edge weights, which algorithm can be used instead of Dijkstra's algorithm?

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.