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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the term 'connectivity relation'.
💡 Hint: Consider the concept of paths between nodes in a graph.
Question 2
Easy
What does the notation R* represent?
💡 Hint: Think about how we represent unions of relations.
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 the connectivity relation R* represent?
- It's a direct relationship
- It's the union of powers of R
- It only includes pairs in R
💡 Hint: Consider the definition of union in set theory.
Question 2
True or False: The transitive closure is a type of connectivity relation.
- True
- False
💡 Hint: Think about how transitive properties influence connectivity.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a directed graph with five vertices where paths exist in such a way that a connects to b, b connects to c, and c connects back to a. Define the connectivity relation and explain your reasoning.
💡 Hint: Try drawing the graph to visualize the connections.
Question 2
Using a Boolean matrix, how would you represent the following relation R: {(1,2),(2,3),(3,1)}? Demonstrate computing R*.
💡 Hint: Include all paths when performing Boolean products for each power.
Challenge and get performance evaluation