Practice - Complete Matching
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Practice Questions
Test your understanding with targeted questions
What is a bipartite graph?
💡 Hint: Think about how vertices can be categorized.
Define maximum matching in a bipartite graph.
💡 Hint: Consider the total number of pairs.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following defines a bipartite graph?
💡 Hint: Think about how vertices are grouped.
True or False: A maximal matching is always a maximum matching.
💡 Hint: Consider the sizes of the matchings.
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Challenge Problems
Push your limits with advanced challenges
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.
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.
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Reference links
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