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

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Question: If a graph has negative weight edges, which algorithm should be used instead of Dijkstra\'s?

Options:

Correct Answer: Bellman-Ford algorithm

Solution:

The Bellman-Ford algorithm can handle graphs with negative weight edges, unlike Dijkstra\'s algorithm.

If a graph has negative weight edges, which algorithm should be used instead of Dijkstra's?

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.