Practice Definition And Algorithm Overview (24.4.1) - Cover of an Element in a Poset

Practise this section

9 questions

Flashcard drill
5 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Define a poset in your own words.
Show hintHide hint
Remember the properties of the relation.
Question 2.
What is meant by an element 'covering' another in a poset?
Show hintHide hint
Think about the Hasse diagram.
3Question 3.
What defines a partial order?
- Antisymmetric
- reflexive
- transitive
- None of the above
- All elements must be comparable
Show hintHide hint
Recall the three essential properties.
4Question 4.
True or False: A poset can have multiple maximal elements.
- True
- False
Show hintHide hint
Think of how elements relate to each other.
Question 5.
Create a poset with at least five elements having multiple maximal and minimal elements. Describe their relations.
Show hintHide hint
Use a Hasse diagram for clarity.
Question 6.
Given a set of tasks with specific dependencies, draw out a Hasse diagram and perform topological sorting.
Show hintHide hint
Make sure to respect the dependencies!

5 more questions in this section. Enroll free to practise them all.