11.1.2 - Big Hammers in Algorithms
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Practice Questions
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What is a bipartite graph?
💡 Hint: Think about how teachers and courses can connect.
What does the term 'matching' refer to in the context of bipartite graphs?
💡 Hint: Consider the connection between teachers and subjects.
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Interactive Quizzes
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What is bipartite matching?
💡 Hint: Consider how teachers and courses are organized.
True or False: In a bipartite matching, a teacher can teach multiple courses.
💡 Hint: Think about the constraints of the matching problem.
1 more question available
Challenge Problems
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Given a set of 5 teachers and only 4 courses, devise a method to allocate courses while ensuring no teacher teaches more than one course and explain your reasoning.
💡 Hint: Use the concept of capacities to frame your solution.
If a specific teacher wishes to teach two courses and refuses to pick, how would this affect your bipartite graph and flow algorithm?
💡 Hint: Consider how stubborn choices can limit overall network flow.
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