Practice Topological Sorting (24.4) - Cover of an Element in a Poset - part B
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Topological Sorting

Practice - Topological Sorting

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Learning

Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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