Practice Definition Of Matching (25.1.3) - Introduction to Bipartite Graphs and Matching
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Definition of Matching

Practice - Definition of Matching

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a bipartite graph.

💡 Hint: Think about how the groups are structured.

Question 2 Easy

What is a maximum matching?

💡 Hint: Consider which matching has the most connections.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines a maximum matching?

It has the fewest edges
It has more edges than maximal matching
It has the largest number of edges

💡 Hint: Think about which matching allows the most connections.

Question 2

True or False: In a maximal matching, you can add more edges without losing its properties.

True
False

💡 Hint: What happens if you try to add edges?

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a bipartite graph with 4 tasks and 3 employees, can you find a complete matching? Justify your answer.

💡 Hint: Count how many tasks can be paired with available employees.

Challenge 2 Hard

Create a scenario with three students and three projects where not all students are assigned a project. Analyze if a maximal matching exists.

💡 Hint: Consider how edges connect.

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