Practice Topological Sorting - 24.4 | 23. Cover of an Element in a Poset - part B | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a cover in a poset?

💡 Hint: Think about how one element can lead to another directly.

Question 2

Easy

Define a minimal element in a poset.

💡 Hint: Look at the bottom layer of the 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 relationship in a poset?

  • A direct relationship with intermediates
  • A direct relationship without intermediates
  • A relationship with equal elements

💡 Hint: Think about direct pathways in a Hasse diagram.

Question 2

True or False: Every poset has a greatest element.

  • True
  • False

💡 Hint: Consider posets with incomparable elements.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a set of tasks A, B, C, and D with dependencies (A -> B, A -> C, B -> D), create a proper Hasse diagram and perform a topological sort.

💡 Hint: Once you visualize it, look for minimal elements for sorting.

Question 2

Illustrate a scenario where there are three tasks that can be done in any order but depend on a fourth completion. How would that look in both a Hasse diagram and via topological sorting?

💡 Hint: Draw connections and analyze the flow of dependencies.

Challenge and get performance evaluation