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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 about how vertices can be categorized.
Question 2
Easy
Define maximum matching in a bipartite graph.
💡 Hint: Consider the total number of pairs.
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
Which of the following defines a bipartite graph?
- A graph with all vertices connected to each other.
- A graph whose vertices can be divided into two sets.
- A graph without edges.
💡 Hint: Think about how vertices are grouped.
Question 2
True or False: A maximal matching is always a maximum matching.
- True
- False
💡 Hint: Consider the sizes of the matchings.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Design a bipartite graph representing a system where seven students need to be assigned to five projects. Demonstrate if a complete matching is possible based on the skills listed for each student.
💡 Hint: Use Hall's theorem to check if the coverage is sufficient.
Question 2
Given a bipartite graph showing four employees and their skills related to three tasks, demonstrate potential matchings and identify which type of matching it constitutes.
💡 Hint: Compare the number of skills to needed tasks.
Challenge and get performance evaluation