Practice Expressing Problems As Linear Programs Or Network Flows (11.2.3)

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9 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define a bipartite graph.
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Think about graphs with 2 distinct categories.
Question 2.
What is a matching in the context of bipartite graphs?
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Consider how students can be paired with courses.
3Question 3.
What is a bipartite graph?
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Think about how different categories relate!
4Question 4.
Bipartite matching can be expressed as what kind of flow?
- Minimum Flow
- Maximum Flow
- Constant Flow
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Consider what you want to achieve with matching!
Question 5.
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.
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Think about how to structure the preferences to visualize the connections.
Question 6.
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?
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Make sure to analyze the connections thoroughly.

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