Practice Department of Computer Science and Engineering - 28.1.2 | 28. Module – 03 | Design & Analysis of Algorithms - Vol 1
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28.1.2 - Department of Computer Science and Engineering

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the primary purpose of the Bellman-Ford algorithm?

💡 Hint: Consider the situations where Dijkstra's algorithm fails.

Question 2

Easy

Define negative cycles in the context of graphs.

💡 Hint: Think of paths that can reduce distance continuously.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the main restriction of the Bellman-Ford algorithm?

  • Allows negative cycles
  • Requires positive edges only
  • Allows negative edges but not cycles
  • None of the above

💡 Hint: Review the importance of negative cycles in graphs.

Question 2

True or False? The Dijkstra's algorithm can be applied to graphs with negative weights.

  • True
  • False

💡 Hint: Think about the assumptions each algorithm makes.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with vertices and edges including both negative and positive weights, illustrate the processes of the Bellman-Ford algorithm showing each iteration's distance updates until stabilization.

💡 Hint: Be methodical and label each vertex clearly to track distances.

Question 2

Consider a graph that includes a negative cycle. Describe how Bellman-Ford would behave and the ultimate impact this has on finding the shortest paths.

💡 Hint: Reflect on the definition of shortest paths in relation to negative cycles.

Challenge and get performance evaluation