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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is meant by the term transitive closure?
💡 Hint: Think about connectivity and closure in conditions.
Question 2
Easy
Define a connectivity relation.
💡 Hint: Consider what paths would mean in a graph context.
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 connectivity relation R*?
- Intersection of powers of R
- Union of powers of R
- Subset of R
💡 Hint: Think about how paths function within graph representations.
Question 2
If (a, b) is in R and (b, c) is also in R, what can we conclude?
- True
- False
💡 Hint: R* should maintain transitive characteristics.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a boolean matrix for a given relation R with 5 elements and calculate R*.
💡 Hint: Use boolean multiplication and ensure to check reachable paths.
Question 2
Prove that R* is the smallest transitive relation expanding R using set theory.
💡 Hint: Visualize subsets and demonstrate transitivity through multiple examples.
Challenge and get performance evaluation