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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a shortest path in graph theory?
💡 Hint: Think of it as the quickest route.
Question 2
Easy
What happens if a graph contains negative cycles?
💡 Hint: Consider how looping through a negative edge affects path weight.
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 issue with Dijkstra's algorithm when dealing with negative edge weights?
- It cannot handle negative weights
- It assumes vertices have fixed shortest paths
- It is inefficient
💡 Hint: Think about the assumptions made when paths are completed.
Question 2
True or False: All prefixes of a shortest path must also be the shortest path.
- True
- False
💡 Hint: Reflect on the characteristics of minimizing distance.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a graph demonstrating the calculations of distances using the Bellman-Ford algorithm, detailing each iteration and resulting distances.
💡 Hint: Focus on changes after each complete pass through the edges.
Question 2
Design a scenario where a negative cycle forces a path to have undefined shortest lengths, and explain the implications.
💡 Hint: Consider how completing a circle with negative weights behaves over time.
Challenge and get performance evaluation