Practice - Maximal Matching
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Practice Questions
Test your understanding with targeted questions
Define a bipartite graph.
💡 Hint: Think about how the vertices are grouped.
What is a matching?
💡 Hint: Consider how roles can be paired without overlap.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a bipartite graph?
💡 Hint: Consider how vertices are organized.
Is a maximal matching always a maximum matching?
💡 Hint: Think about sizes and properties.
1 more question available
Challenge Problems
Push your limits with advanced challenges
In a bipartite graph representing 5 jobs and 3 employees, demonstrate potential matchings and assess if a complete matching can be achieved.
💡 Hint: Sketch the graph to visualize options.
Apply Hall's theorem to a bipartite graph with specific subsets and determine if a complete matching is feasible. Justify your conclusion.
💡 Hint: Count neighbors carefully against subset sizes.
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