Practice - Total Ordering and Hasse Diagram
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Practice Questions
Test your understanding with targeted questions
Define a poset.
💡 Hint: Think of the properties that a relation needs.
What does it mean for y to cover x?
💡 Hint: Visualize this in a Hasse Diagram.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a Hasse diagram represent?
💡 Hint: Think about its purpose.
True or False? Every poset must have both a least and a greatest element.
💡 Hint: Consider the definitions of these elements.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Create a Hasse diagram for the set of integers from 1 to 5 under the relation of 'divides'. Identify minimal and maximal elements.
💡 Hint: Take each number and see which others it divides.
Given a set of tasks: {A, B, C, D}, with dependencies: A must complete before B and C, C must complete before D; demonstrate a topological sort.
💡 Hint: Find all paths that respect the order of dependency.
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