Practice Choosing Paths in Ford-Fulkerson - 10.8 | 10. Network Flows | Design & Analysis of Algorithms - Vol 3
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Choosing Paths in Ford-Fulkerson

10.8 - Choosing Paths in Ford-Fulkerson

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define flow in the context of network theory.

💡 Hint: Think about what is being transferred from the source to the sink.

Question 2 Easy

What does capacity refer to in a network?

💡 Hint: Consider the limits on how much can pass through a pipe.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the primary goal of the Ford-Fulkerson algorithm?

To minimize the flow
To maximize the flow
To eliminate edges

💡 Hint: Think about the algorithm’s purpose in a network flow context.

Question 2

True or False: The maximum flow is always less than or equal to the minimum cut.

True
False

💡 Hint: Consider how cutting edges affects the flow capacity.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a directed graph with specific edge capacities, use the Ford-Fulkerson algorithm to determine the maximum flow.

💡 Hint: Keep track of the residual graph as you progress through augmentations.

Challenge 2 Hard

Explain how changing the capacity of an edge affects the maximum flow. Provide at least two scenarios.

💡 Hint: Think about what happens to flow when key paths change.

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