Practice Max Flow Min Cut Theorem - 10.7 | 10. Network Flows | Design & Analysis of Algorithms - Vol 3
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10.7 - Max Flow Min Cut Theorem

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a flow network.

💡 Hint: Think about how flow is managed in a system.

Question 2

Easy

What is the principle of conservation of flow?

💡 Hint: Reflect on the balance of flow in a network.

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 must be true about a flow in a flow network?

  • It can exceed edge capacities
  • Inflow equals outflow at nodes
  • It can accumulate at nodes

💡 Hint: Consider how flow behaves at nodes in a network.

Question 2

The Ford-Fulkerson algorithm aims to compute what?

  • True
  • False

💡 Hint: Reflect on the purpose of the algorithm.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the flow network with the following capacities: A-B (10), B-C (5), A-C (15), C-D (10), and B-D (15). Calculate the maximum flow from A to D.

💡 Hint: Try breaking the problem down into smaller flows and add them iteratively.

Question 2

Explain how varying capacities on edges of a network impact the maximum flow and the minimum cut using a constructed graph.

💡 Hint: Build scenarios revealing how different capacities influence flow dynamics.

Challenge and get performance evaluation