Practice Choosing Paths In Ford-fulkerson (10.8) - Network Flows - Design & Analysis of Algorithms

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10 questions

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6 sample questions

Question 1.
Define flow in the context of network theory.
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Think about what is being transferred from the source to the sink.
Question 2.
What does capacity refer to in a network?
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Consider the limits on how much can pass through a pipe.
3Question 3.
What is the primary goal of the Ford-Fulkerson algorithm?
- To minimize the flow
- To maximize the flow
- To eliminate edges
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Think about the algorithm’s purpose in a network flow context.
4Question 4.
True or False: The maximum flow is always less than or equal to the minimum cut.
- True
- False
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Consider how cutting edges affects the flow capacity.
Question 5.
Given a directed graph with specific edge capacities, use the Ford-Fulkerson algorithm to determine the maximum flow.
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Keep track of the residual graph as you progress through augmentations.
Question 6.
Explain how changing the capacity of an edge affects the maximum flow. Provide at least two scenarios.
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Think about what happens to flow when key paths change.

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