Practice Definition of Matching - 25.1.3 | 25. Introduction to Bipartite Graphs and Matching | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

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.

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 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?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation