Practice Reduction Process - 11.1.4 | 11. Reductions | Design & Analysis of Algorithms - Vol 3
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Reduction Process

11.1.4 - Reduction Process

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define what a reduction is in algorithm design.

💡 Hint: Consider how one problem's solution could assist another.

Question 2 Easy

What is a bipartite graph?

💡 Hint: Think about the structure and where edges connect.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a bipartite graph?

A graph with one set of vertices
A graph with two disjoint sets of vertices
A graph with cycles

💡 Hint: Focus on how vertices are organized.

Question 2

True or False: A perfect matching means one vertex can be matched to multiple vertices.

True
False

💡 Hint: Think about the definition of matching.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a scenario with 6 teachers and 4 courses, how would you approach solving for an allocation using network flows? Describe your steps.

💡 Hint: Visualize the connections and think about how the flow behaves in your network.

Challenge 2 Hard

Discuss how a mismatch in the number of teachers and courses affects the matching process. What strategies could work around this?

💡 Hint: Consider the implications of surplus vs shortage in an allocation context.

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