11.2.3 - Expressing Problems as Linear Programs or Network Flows
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Practice Questions
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Define a bipartite graph.
💡 Hint: Think about graphs with 2 distinct categories.
What is a matching in the context of bipartite graphs?
💡 Hint: Consider how students can be paired with courses.
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Interactive Quizzes
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What is a bipartite graph?
💡 Hint: Think about how different categories relate!
Bipartite matching can be expressed as what kind of flow?
💡 Hint: Consider what you want to achieve with matching!
1 more question available
Challenge Problems
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Consider a school with 5 teachers and 3 courses. Each teacher has a specific course they can teach. Formulate the problem as a bipartite graph and address how to maximize the teaching assignments.
💡 Hint: Think about how to structure the preferences to visualize the connections.
Given a scenario of job placement where 4 applicants can fill 6 different roles based on qualifications, how would you go about ensuring all roles available are filled?
💡 Hint: Make sure to analyze the connections thoroughly.
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