Practice Flow Properties - 10.2 | 10. Network Flows | Design & Analysis of Algorithms - Vol 3
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Flow Properties

10.2 - Flow Properties

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

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

💡 Hint: Think about what we want to achieve in a network.

Question 2 Easy

Define conservation of flow.

💡 Hint: Consider flow at junctions.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Ford-Fulkerson Algorithm achieve?

Maximizes flow
Reduces capacity
Finds minimum cut

💡 Hint: Think about its goal in network flow problems.

Question 2

True or False: The flow entering a node must equal the flow exiting that node.

True
False

💡 Hint: Consider how flow interacts at junctions.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a directed network with vertices and edges having different capacities, outline a method using the Ford-Fulkerson Algorithm to determine the maximum flow. Provide an example.

💡 Hint: Think carefully about how augmenting paths interact with initial flows.

Challenge 2 Hard

Consider a hypothetical scenario where you need to optimize the flow of products from multiple sources to various sinks. Explain how the principles of maximum flow apply and strategies you might employ.

💡 Hint: Evaluate the implications of source-sink connections.

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