Practice Hasse Diagrams (23.3) - Partial Ordering - part A - Discrete Mathematics

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6 sample questions

Question 1.
Define a partial ordering using your own words.
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Check the characteristics we discussed.
Question 2.
Give an example of a partial ordering.
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Think of how you would arrange something alphabetically.
3Question 3.
What property ensures that every element relates to itself in a partial ordering?
- Antisymmetry
- Reflexivity
- Transitivity
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Think about the basic rules of relations.
4Question 4.
In a Hasse diagram, which edges can be omitted?
- Self-loops
- Transitive edges
- Both A and B
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Review how to construct a Hasse diagram to answer.
Question 5.
Given a set of numbers {1, 2, 3, 4}, determine if the set under the divide relation (|) is a partial ordering.
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Check each pair of numbers for divisibility.
Question 6.
Create a Hasse diagram for the powerset of {X, Y} and explain how you derived it.
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Count the total subsets and remember the relationships.

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