Practice Steps Of The Algorithm (24.4.2) - Cover of an Element in a Poset - part B
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Steps of the Algorithm

Practice - Steps of the Algorithm

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Learning

Practice Questions

Test your understanding with targeted questions

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?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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