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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define transitive closure in your own words.
💡 Hint: Think about how elements connect through others.
Question 2
Easy
What does a Boolean matrix represent?
💡 Hint: Recall the binary nature of relationships.
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
The transitive closure R* of a relation R includes:
- Only direct connections
- Only indirect connections
- Both direct and indirect connections
💡 Hint: Recall the definitions of transitivity and reachability.
Question 2
True or False: You need to compute all powers of R to find R*.
- True
- False
💡 Hint: Consider the distinct nodes and path lengths.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Design a directed graph with 5 nodes and 10 edges; calculate its transitive closure using the connectivity relation.
💡 Hint: Start with direct connections, then look for paths that connect indirectly.
Question 2
Given a Boolean matrix representing R, develop an algorithm to compute its R* with minimal computational effort and justify your approach.
💡 Hint: Consider calculating powers of the matrix and their significance.
Challenge and get performance evaluation