Practice - Modeling Job Assignments with Matching
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Practice Questions
Test your understanding with targeted questions
What is a bipartite graph?
💡 Hint: Remember the term 'bi' means two.
Define matching.
💡 Hint: Think about connections without overlap.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a bipartite graph?
💡 Hint: Recall the definition features two groups.
A maximum matching can be larger than a maximal matching.
💡 Hint: Think about how many edges each can have.
1 more question available
Challenge Problems
Push your limits with advanced challenges
In a bipartite graph with employees A, B, and C, and modules 1, 2, and 3, if A can do modules 1 & 2, B can do 2 & 3, and C can do 1 & 3, illustrate if a complete matching exists.
💡 Hint: Review potential overlaps in assignments.
Create an example of a bipartite graph that demonstrates Hall's theorem failing to hold.
💡 Hint: Count neighbors of the subset you select.
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