11.1.2 - Bipartite Graph
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Practice Questions
Test your understanding with targeted questions
What defines a bipartite graph?
💡 Hint: Think about the two-group structure.
Why can't teachers be matched to courses they don't prefer?
💡 Hint: Consider teacher qualifications.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What characterizes a bipartite graph?
💡 Hint: Refer back to the definition.
True or False: In a bipartite graph, teachers can teach courses they initially didn't prefer.
💡 Hint: Think about the consequences of misallocation.
2 more questions available
Challenge Problems
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Given a bipartite graph of 3 teachers (T1, T2, T3) and 5 courses (C1 to C5), with the following preferences: T1(C1, C2), T2(C2, C3), T3(C4, C5). Determine if a perfect matching is possible.
💡 Hint: Consider the number of vertices in both sets.
Modify the graph from the previous problem to include a preference for T1 to teach C2 and C3. Analyze the impact on perfect matching.
💡 Hint: Think about how additional edges affect matching possibilities.
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