Practice Total Ordering and Hasse Diagram - 24.5.2 | 23. Cover of an Element in a Poset - part B | Discrete Mathematics - Vol 1
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Practice Questions

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Question 1

Easy

Define a poset.

💡 Hint: Think of the properties that a relation needs.

Question 2

Easy

What does it mean for y to cover x?

💡 Hint: Visualize this 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 does a Hasse diagram represent?

  • A type of graph
  • A graph showing a poset
  • A sorting algorithm

💡 Hint: Think about its purpose.

Question 2

True or False? Every poset must have both a least and a greatest element.

  • True
  • False

💡 Hint: Consider the definitions of these elements.

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Challenge Problems

Push your limits with challenges.

Question 1

Create a Hasse diagram for the set of integers from 1 to 5 under the relation of 'divides'. Identify minimal and maximal elements.

💡 Hint: Take each number and see which others it divides.

Question 2

Given a set of tasks: {A, B, C, D}, with dependencies: A must complete before B and C, C must complete before D; demonstrate a topological sort.

💡 Hint: Find all paths that respect the order of dependency.

Challenge and get performance evaluation