Practice Summary of Key Concepts - 25.2.1 | 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 the two distinct groups connected by edges.

Question 2

Easy

What is maximum matching?

💡 Hint: Maximum means the highest count.

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 bipartite graph?

  • A graph with cycles
  • A graph that can be colored with two colors
  • A graph formed of disjoint vertex sets

💡 Hint: Visualize the two groups in the graph.

Question 2

True or False: A complete matching occurs when all vertices match in a bipartite graph.

  • True
  • False

💡 Hint: Think about what it means to match everyone.

Solve 3 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a bipartite graph of six employees and four modules, illustrate the maximum matching possible and demonstrate why finding a complete matching is difficult.

💡 Hint: Focus on the interconnections between tasks and available resources.

Question 2

Design a scenario representing Hall's Marriage Theorem where certain employees cannot meet the job requirements and illustrate it using a bipartite graph.

💡 Hint: Evaluate subsets carefully to determine neighbor counts.

Challenge and get performance evaluation