Practice Minimal Elements (24.2.2) - Cover of an Element in a Poset - part B
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Minimal Elements

Practice - Minimal Elements

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a cover in the context of posets?

💡 Hint: Think about direct connections in a diagram.

Question 2 Easy

Give an example of a maximal element.

💡 Hint: Look for elements that aren’t related to anything higher.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines a cover in a poset?

A direct relation with intermediates
A direct relation without intermediates
Any relation

💡 Hint: Visualize the Hasse diagram.

Question 2

True or False: A minimal element in a poset has elements above it.

True
False

💡 Hint: Think about the definition of minimal.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a partially ordered set of at least six elements. Identify all maximal, minimal, greatest, and least elements, explaining each relation.

💡 Hint: Define how each element relates to ensure you address all types.

Challenge 2 Hard

Using a given set of tasks with dependencies, construct a Hasse diagram and perform a topological sort. Explain your steps.

💡 Hint: Focus on dependencies and remember the definition of topological sorting.

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