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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 we can categorize vertices.
Question 2
Easy
Define a matching in graph theory.
💡 Hint: Consider how edges connect vertices.
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 distinguishes a maximum matching from a maximal matching?
- Maximum matching can have more edges.
- Maximum matching is the largest possible matching.
- Maximal matching must have at least 5 edges.
- All of the above.
💡 Hint: Think about sizes and limitations of the matchings.
Question 2
True or False: Every maximum matching is also a maximal matching.
- True
- False
💡 Hint: Consider if you can add more edges to maximum matching.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a bipartite graph with 3 employees (A, B, C) and 4 tasks (1, 2, 3, 4). If A can do 1, 2; B can do 1, 3; C can do 2, 4, demonstrate if a complete matching is possible.
💡 Hint: Think about how many unique tasks are left.
Question 2
Given a bipartite graph with 5 vertices in each set and no missing edges, find out if it's possible to have a complete matching. Justify your answer.
💡 Hint: Visualize potential connections.
Challenge and get performance evaluation