Practice Job Assignment Problem - 25.1.1 | 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

What is a bipartite graph?

💡 Hint: Think of two groups with connections only between them.

Question 2

Easy

Define maximum matching.

💡 Hint: It's about finding the biggest collection of edges.

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 edges connecting in one set only
  • A graph with edges connecting two distinct vertex sets
  • A graph with no connections

💡 Hint: Think about how the vertices are connected.

Question 2

True or False: A maximal matching is the largest matching possible.

  • True
  • False

💡 Hint: Consider what 'maximal' means.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a bipartite graph with four employees and three tasks where each employee can handle two tasks, find if a complete matching may be achieved without repeat assignments.

💡 Hint: Map tasks to available employees carefully.

Question 2

Create a real-world scenario that demonstrates Hall's Marriage Theorem, emphasizing the relationship between tasks and resources. Provide a diagram.

💡 Hint: Use a visual aid to assist in your explanation.

Challenge and get performance evaluation