Practice Reductions - 11.1 | 11. Reductions | Design & Analysis of Algorithms - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a bipartite graph?

💡 Hint: Think about how the nodes are structured in pairs.

Question 2

Easy

What is the goal of a matching problem?

💡 Hint: Consider how students are assigned to advisors based on preferences.

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 a reduction in algorithm design?

  • Transforming one problem into another
  • Simplifying a problem
  • Finding a solution directly

💡 Hint: Think of problem-solving strategies.

Question 2

True or False: A bipartite graph allows edges only within the same group.

  • True
  • False

💡 Hint: Recall how the graph structure is defined.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given five teachers and four distinct online courses, develop a flow network that represents their allocations. Ensure that each edge reflects the capacity constraint and identify potential matchings.

💡 Hint: Use a diagram to visualize flows.

Question 2

Evaluate the implications if a matching problem cannot be efficiently solved. Discuss how this affects related problems in the context of reduction.

💡 Hint: Consider what underlying properties might relate the difficulties of both problems.

Challenge and get performance evaluation