Practice Efficiency Of Reductions (11.1.5) - Reductions - Design & Analysis of Algorithms - Vol 3

Practice: Efficiency of Reductions

Lesson 11.1.5Reductions

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9 questions

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6 sample questions

Question 1.
Define what a reduction in algorithm design means.
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Think about simplification and reformation of problems.
Question 2.
What distinguishes a bipartite graph?
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Consider the division of entities in a matching situation.
3Question 3.
What is the main purpose of a reduction in the context of algorithms?
- To simplify a problem
- To use algorithms of another problem
- Both A and B
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Consider the roles reductions play in problem-solving.
4Question 4.
True or False: A bipartite graph contains edges only within the same set of vertices.
- True
- False
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Visualize the graph and its structure to recall the definition.
Question 5.
Suppose you have 5 teachers and 4 courses. Write a brief outline on how you would set up a bipartite graph for this scenario, drawing from the matching criteria discussed.
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Think about the limits of matching and how to illustrate preferences graphically.
Question 6.
Design a hypothetical scenario in which the reduction from a bipartite matching to a network flow helps solve a more complex problem in allocation.
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Envision resource maximization in terms of nodes and flows.

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