Practice Prof. Madhavan Mukund (28.1.1) - Module – 03 - Design & Analysis of Algorithms

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10 questions

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6 sample questions

Question 1.
What is the main purpose of the Bellman-Ford algorithm?
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Think about what makes Dijkstra's algorithm limited.
Question 2.
Does the Bellman-Ford algorithm work with negative cycles?
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Consider what happens if a cycle continuously reduces a path's cost.
3Question 3.
What does the Bellman-Ford algorithm compute?
- Longest paths
- Shortest paths
- Paths with infinite costs
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Consider the goal of the algorithm.
4Question 4.
True or False: The Bellman-Ford algorithm can handle negative weights.
- True
- False
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Remember how negative weights impact path costs.
Question 5.
Create an example graph with at least five vertices and a few edges, some of which have negative weights. Use the Bellman-Ford algorithm to compute shortest paths.
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Keep track of each vertex's distance as you update!
Question 6.
Given a graph includes a negative cycle involving three vertices, explain how the Bellman-Ford algorithm handles this scenario.
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