Practice Setting Up Linear Program - 10.4 | 10. Network Flows | Design & Analysis of Algorithms - Vol 3
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10.4 - Setting Up Linear Program

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the source in a network flow?

💡 Hint: Think about where the flow begins.

Question 2

Easy

What does the term 'sink' refer to?

💡 Hint: Consider where the flow is headed.

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 the purpose of the Ford-Fulkerson algorithm?

  • To minimize flow in a network
  • To compute the maximum flow in a network
  • To disconnect the source and sink

💡 Hint: Consider what the algorithm aims to achieve.

Question 2

True or False: The maximum flow in a network can exceed the minimum cut capacity.

  • True
  • False

💡 Hint: Reflect on the relationship between flow and capacity constraints.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a directed graph with edges having specific capacities, use the Ford-Fulkerson algorithm to calculate the maximum flow from source 's' to sink 't'. Demonstrate all steps including residual graph representations.

💡 Hint: Start at zero flow and find paths iteratively.

Question 2

Prove the Max Flow-Min Cut Theorem by considering a specific network and demonstrating that the maximum flow equals the smallest cut capacity.

💡 Hint: Experiment with identifying cuts in a sample network.

Challenge and get performance evaluation