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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define what a cover is in the context of posets.
💡 Hint: Think about elements immediately above others in a diagram.
Question 2
Easy
What is a maximal element?
💡 Hint: Consider elements without anything on top in a Hasse diagram.
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 defines a cover in a poset?
- x is related to y
- x is maximal
- x is minimal
💡 Hint: Refer to the definitions we've just discussed.
Question 2
True or False: A poset can have more than one minimal element.
- True
- False
💡 Hint: Consider how many elements can have no dependency below them.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Design a Hasse diagram for a given set E = {a, b, c} with relations a < b, a < c, and b < c. Identify the covers, maximal, and minimal elements.
💡 Hint: Focus on the relationship levels.
Question 2
Given a set of tasks with dependencies described, explain how a circular dependency impacts the topological sort and provide a solution.
💡 Hint: What happens if tasks rely on one another in a loop?
Challenge and get performance evaluation