Practice - Maximum Matching
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Practice Questions
Test your understanding with targeted questions
What is a bipartite graph?
💡 Hint: Think about how we can categorize vertices.
Define a matching in graph theory.
💡 Hint: Consider how edges connect vertices.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What distinguishes a maximum matching from a maximal matching?
💡 Hint: Think about sizes and limitations of the matchings.
True or False: Every maximum matching is also a maximal matching.
💡 Hint: Consider if you can add more edges to maximum matching.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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Reference links
Supplementary resources to enhance your learning experience.