Practice Reduction Process (11.1.4) - Reductions - Design & Analysis of Algorithms

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6 sample questions

Question 1.
Define what a reduction is in algorithm design.
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Consider how one problem's solution could assist another.
Question 2.
What is a bipartite graph?
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Think about the structure and where edges connect.
3Question 3.
What is a bipartite graph?
- A graph with one set of vertices
- A graph with two disjoint sets of vertices
- A graph with cycles
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Focus on how vertices are organized.
4Question 4.
True or False: A perfect matching means one vertex can be matched to multiple vertices.
- True
- False
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Think about the definition of matching.
Question 5.
Given a scenario with 6 teachers and 4 courses, how would you approach solving for an allocation using network flows? Describe your steps.
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Visualize the connections and think about how the flow behaves in your network.
Question 6.
Discuss how a mismatch in the number of teachers and courses affects the matching process. What strategies could work around this?
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Consider the implications of surplus vs shortage in an allocation context.

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