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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the transitive closure of the relation R = {(1, 2), (2, 3)}?
💡 Hint: Think of the pairs that need to be added to ensure transitivity.
Question 2
Easy
Which property must be satisfied for a relation to be a transitive closure?
💡 Hint: If A is related to B and B is related to C, what must also be true?
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 transitive closure of a relation?
- A set containing direct pairs
- The smallest superset satisfying transitive properties
- A completely arbitrary set
💡 Hint: Remember the goal is to ensure A relates to C if A relates to B and B to C.
Question 2
True or False: The transitive closure can be computed in a single step.
- True
- False
💡 Hint: Think back to our example!
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
You have a relation R = {(1, 2), (2, 3), (4, 5)}. Find R's transitive closure and explain the steps taken.
💡 Hint: Look at pairs and see if they indirectly relate to each other.
Question 2
Given the relation R = {(a, b), (b, c), (c, d), (d, a)}, calculate its transitive closure.
💡 Hint: Consider how far each node can reach through others.
Challenge and get performance evaluation