Which of the following algorithms is used to find the shortest path in a graph with negative weights?

Which of the following algorithms is used to find the shortest path in a graph with negative weights?

a) Dijkstra’s Algorithm
b) Bellman-Ford Algorithm
c) Kruskal’s Algorithm
d) Floyd-Warshall Algorithm

Answer:

b) Bellman-Ford Algorithm

Explanation:

The Bellman-Ford algorithm is used to find the shortest path in graphs with negative weights. Unlike Dijkstra’s algorithm, Bellman-Ford can handle negative weight edges and detect negative weight cycles.

Bellman-Ford works by relaxing edges repeatedly, allowing it to update the shortest path distances from the source vertex to all other vertices. If a negative weight cycle is detected, the algorithm reports that no shortest path exists.

Although Bellman-Ford has a higher time complexity of O(V * E), it is more versatile than Dijkstra’s algorithm, which is limited to graphs with non-negative weights.

Reference:

DSA (Data Structures and Algorithms) MCQ Questions and Answers

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