10.3 - Special Graph Type
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Practice Questions
Test your understanding with targeted questions
What is the principle of flow conservation?
💡 Hint: Think about a water tank where the water coming in and going out must be balanced.
Name the algorithm used to calculate the maximum flow.
💡 Hint: Remember the term associated with 'finding paths with spare capacity.'
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Interactive Quizzes
Quick quizzes to reinforce your learning
What principle states that the inflow and outflow of nodes must balance?
💡 Hint: Consider the water flow metaphor again!
True or False: The Ford-Fulkerson algorithm can provide an optimal solution to network flow problems.
💡 Hint: Think about its iterative nature to improve flow.
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Challenge Problems
Push your limits with advanced challenges
Challenge: Given a graph with nodes and edge capacities, use the Ford-Fulkerson algorithm to solve for maximum flow. List your steps and the resulting flows.
💡 Hint: Make sure to visualize every step and track any adjustments made to capacities.
Challenge: Create a scenario with a minimum cut that restricts the flow to a specific maximum. What's the relationship between the identified cut and flow?
💡 Hint: Draw the cut and identify which edges limit maximum flow.
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