Practice - Introduction to Connectivity Relation
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define the term 'connectivity relation'.
💡 Hint: Consider the concept of paths between nodes in a graph.
What does the notation R* represent?
💡 Hint: Think about how we represent unions of relations.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the connectivity relation R* represent?
💡 Hint: Consider the definition of union in set theory.
True or False: The transitive closure is a type of connectivity relation.
💡 Hint: Think about how transitive properties influence connectivity.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
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.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.