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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a cover in the context of posets.
💡 Hint: Think about the direct relationship in a staircase.
Question 2
Easy
What is a maximal element?
💡 Hint: Is there anything above a maximal element in the hierarchy?
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 condition for an element y to cover element x?
- y must be less than x
- x ≤ y and no element z such that x ≤ z ≤ y
- y must be equal to x
💡 Hint: Remember, it's about the lack of intermediates.
Question 2
True or False: An element can be both maximal and minimal.
- True
- False
💡 Hint: Consider if an element stands alone.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Construct a Hasse diagram for the following set of relationships: {1, 2, 3, 4} with the relationships 1 < 2, 1 < 3, 2 < 4.
💡 Hint: Consider each relationship to lay out the elements.
Question 2
Given the tasks A, B, C, and D where A must occur before B and C, and B must occur before D, list a valid topological order.
💡 Hint: Start with the task that has no dependencies.
Challenge and get performance evaluation