10.4 - Setting Up Linear Program
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Practice Questions
Test your understanding with targeted questions
What is the source in a network flow?
💡 Hint: Think about where the flow begins.
What does the term 'sink' refer to?
💡 Hint: Consider where the flow is headed.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the purpose of the Ford-Fulkerson algorithm?
💡 Hint: Consider what the algorithm aims to achieve.
True or False: The maximum flow in a network can exceed the minimum cut capacity.
💡 Hint: Reflect on the relationship between flow and capacity constraints.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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