10.7 - Max Flow Min Cut Theorem
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Practice Questions
Test your understanding with targeted questions
Define a flow network.
💡 Hint: Think about how flow is managed in a system.
What is the principle of conservation of flow?
💡 Hint: Reflect on the balance of flow in a network.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What must be true about a flow in a flow network?
💡 Hint: Consider how flow behaves at nodes in a network.
The Ford-Fulkerson algorithm aims to compute what?
💡 Hint: Reflect on the purpose of the algorithm.
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Challenge Problems
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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.
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.
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