Practice Expressing Problems as Linear Programs or Network Flows - 11.2.3 | 11. Reductions | Design & Analysis of Algorithms - Vol 3
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11.2.3 - Expressing Problems as Linear Programs or Network Flows

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a bipartite graph.

💡 Hint: Think about graphs with 2 distinct categories.

Question 2

Easy

What is a matching in the context of bipartite graphs?

💡 Hint: Consider how students can be paired with courses.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is a bipartite graph?

💡 Hint: Think about how different categories relate!

Question 2

Bipartite matching can be expressed as what kind of flow?

  • Minimum Flow
  • Maximum Flow
  • Constant Flow

💡 Hint: Consider what you want to achieve with matching!

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation