Practice Lecture - 27 - 28.1.4 | 28. Module – 03 | Design & Analysis of Algorithms - Vol 1
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Lecture - 27

28.1.4 - Lecture - 27

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does a negative edge in a graph signify?

💡 Hint: Think about how weights affect paths.

Question 2 Easy

Why is it important to avoid negative cycles?

💡 Hint: Consider the impact of looping in paths.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which algorithm can handle negative edge weights?

A) Dijkstra's Algorithm
B) Bellman-Ford Algorithm
C) A* Algorithm

💡 Hint: Remember which algorithms are designed for certain conditions.

Question 2

True or False: A negative cycle guarantees a shortest path.

True
False

💡 Hint: Recap the definition of negative cycles.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider a graph with vertices A, B, C, and D where A connects to B with weight 1, B to C with weight -2, and C to D with weight 2. How do the distances from A to all vertices evolve through the Bellman-Ford algorithm?

💡 Hint: Iterate through all edges and update distances accordingly.

Challenge 2 Hard

Design a strange graph where negative cycles appear yet ensure Bellman-Ford can’t find them. What is their impact on path calculations?

💡 Hint: Use examples of loops to draw a clear distinction.

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