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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the transitive closure in your own words.
💡 Hint: Think of paths in a graph.
Question 2
Easy
Explain what Warshall's algorithm does.
💡 Hint: Consider how matrices represent paths.
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 Warshall's algorithm compute?
- Minimum Spanning Tree
- Transitive Closure
- Shortest Path
💡 Hint: Recall the primary goal of the algorithm.
Question 2
True or False: Warshall’s algorithm requires O(n²) time for updating each entry during matrix transformation.
- True
- False
💡 Hint: Think about how the updates are structured.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a directed graph with nodes 1 to 4 and edges (1, 2), (2, 3), and (3, 4), determine the transitive closure using Warshall's algorithm.
💡 Hint: Visualize each step of matrix updates to track connectivity.
Question 2
Consider a directed graph with a cycle. How would Warshall's algorithm adapt to ensure all nodes in the cycle reflect their connectivity?
💡 Hint: Identify the cycle and how its nodes interact as intermediates.
Challenge and get performance evaluation