11.2.2 - Network Flows
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Practice Questions
Test your understanding with targeted questions
Define a bipartite graph.
💡 Hint: Think about how the vertices are structured.
What is a perfect matching?
💡 Hint: Consider scenarios with distinct pairs.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a bipartite graph?
💡 Hint: Remember the characteristics of vertex sets.
True or False: A perfect matching can exist in an unbalanced bipartite graph.
💡 Hint: Consider the implications of unequal sets.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Imagine a scenario with three courses and five teachers, each having different preferences. Model this using a bipartite graph, and determine if a perfect matching exists.
💡 Hint: Check each teacher’s preferences and map them accordingly.
Transform the following teacher-course assignments into a network flow diagram: Teacher 1 (Math, History), Teacher 2 (Biology), Teacher 3 (Economics). How would you represent this in a flow network?
💡 Hint: Visualize how flow connects the teachers to the courses.
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