Practice Transitive Closure Of Relations (19) - Transitive Closure of Relations

Practise this section

8 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Define transitive closure in your own words.
Show hintHide hint
Think about how elements connect through others.
Question 2.
What does a Boolean matrix represent?
Show hintHide hint
Recall the binary nature of relationships.
3Question 3.
The transitive closure R* of a relation R includes:
- Only direct connections
- Only indirect connections
- Both direct and indirect connections
Show hintHide hint
Recall the definitions of transitivity and reachability.
4Question 4.
True or False: You need to compute all powers of R to find R*.
- True
- False
Show hintHide hint
Consider the distinct nodes and path lengths.
Question 5.
Design a directed graph with 5 nodes and 10 edges; calculate its transitive closure using the connectivity relation.
Show hintHide hint
Start with direct connections, then look for paths that connect indirectly.
Question 6.
Given a Boolean matrix representing R, develop an algorithm to compute its R* with minimal computational effort and justify your approach.
Show hintHide hint
Consider calculating powers of the matrix and their significance.

4 more questions in this section. Enroll free to practise them all.