Practice Efficiency of Reductions - 11.1.5 | 11. Reductions | Design & Analysis of Algorithms - Vol 3
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11.1.5 - Efficiency of Reductions

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define what a reduction in algorithm design means.

💡 Hint: Think about simplification and reformation of problems.

Question 2

Easy

What distinguishes a bipartite graph?

💡 Hint: Consider the division of entities in a matching situation.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

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

💡 Hint: Consider the roles reductions play in problem-solving.

Question 2

True or False: A bipartite graph contains edges only within the same set of vertices.

  • True
  • False

💡 Hint: Visualize the graph and its structure to recall the definition.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

💡 Hint: Think about the limits of matching and how to illustrate preferences graphically.

Question 2

Design a hypothetical scenario in which the reduction from a bipartite matching to a network flow helps solve a more complex problem in allocation.

💡 Hint: Envision resource maximization in terms of nodes and flows.

Challenge and get performance evaluation