Practice Design and Analysis of Algorithms, Chennai Mathematical Institute - 28.1 | 28. Module – 03 | Design & Analysis of Algorithms - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the Bellman-Ford algorithm specifically handle that Dijkstra's does not?

💡 Hint: Think about edge weights in graphs.

Question 2

Easy

True or False: A shortest path can have loops.

💡 Hint: Recall the properties of shortest paths and loops.

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 does the Bellman-Ford algorithm do?

  • Finds paths with positive weights only
  • Finds shortest paths with negative weights
  • Finds all longest paths

💡 Hint: Consider the capabilities of both the Bellman-Ford and Dijkstra’s algorithms.

Question 2

True or False: The Bellman-Ford algorithm can handle negative cycles.

  • True
  • False

💡 Hint: Think about the implications of negative cycles.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

In a graph with vertices A, B, C, and D, where edges are weighted A->B(2), B->C(-3), A->C(4), and C->D(1). Determine the shortest path from A to D using the Bellman-Ford algorithm.

💡 Hint: Implement the updates as per Bellman-Ford, observing each iteration's effect.

Question 2

Create your own graph with at least one negative cycle and explain in detail how it affects the path calculations when running Bellman-Ford.

💡 Hint: Draw the graph out and calculate distances after each iteration to see the cycle's effect.

Challenge and get performance evaluation