11.1 - Reductions
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Practice Questions
Test your understanding with targeted questions
What is a bipartite graph?
💡 Hint: Think about how the nodes are structured in pairs.
What is the goal of a matching problem?
💡 Hint: Consider how students are assigned to advisors based on preferences.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a reduction in algorithm design?
💡 Hint: Think of problem-solving strategies.
True or False: A bipartite graph allows edges only within the same group.
💡 Hint: Recall how the graph structure is defined.
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Challenge Problems
Push your limits with advanced challenges
Given five teachers and four distinct online courses, develop a flow network that represents their allocations. Ensure that each edge reflects the capacity constraint and identify potential matchings.
💡 Hint: Use a diagram to visualize flows.
Evaluate the implications if a matching problem cannot be efficiently solved. Discuss how this affects related problems in the context of reduction.
💡 Hint: Consider what underlying properties might relate the difficulties of both problems.
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