Practice Matching Problem - 11.1.1 | 11. Reductions | Design & Analysis of Algorithms - Vol 3
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Matching Problem

11.1.1 - Matching Problem

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the matching problem?

💡 Hint: Think about matching pairs.

Question 2 Easy

Define a bipartite graph.

💡 Hint: Remember the two groups in the graph.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a bipartite graph?

A graph with no edges
Edges between two distinct sets
A circular graph

💡 Hint: Think about the sets involved in the graph.

Question 2

In a matching problem, can a teacher teach more than one course?

True
False

💡 Hint: Consider the rules of allocation.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Suppose there are 6 teachers and 3 courses. Each teacher has their preferences for the courses. Describe the steps to find an optimal matching.

💡 Hint: Think about how you would visualize the preferences.

Challenge 2 Hard

If a new course is added to an existing matching scenario, how would you approach adjusting the current allocations?

💡 Hint: Consider how additional options can lead to new combinations.

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