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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What defines a bipartite graph?
💡 Hint: Think about the two-group structure.
Question 2
Easy
Why can't teachers be matched to courses they don't prefer?
💡 Hint: Consider teacher qualifications.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What characterizes a bipartite graph?
- Edges between the same set
- Edges only between different sets
- All vertices connected
💡 Hint: Refer back to the definition.
Question 2
True or False: In a bipartite graph, teachers can teach courses they initially didn't prefer.
- True
- False
💡 Hint: Think about the consequences of misallocation.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation