11.1.5 - Efficiency of Reductions
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Practice Questions
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Define what a reduction in algorithm design means.
💡 Hint: Think about simplification and reformation of problems.
What distinguishes a bipartite graph?
💡 Hint: Consider the division of entities in a matching situation.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main purpose of a reduction in the context of algorithms?
💡 Hint: Consider the roles reductions play in problem-solving.
True or False: A bipartite graph contains edges only within the same set of vertices.
💡 Hint: Visualize the graph and its structure to recall the definition.
1 more question available
Challenge Problems
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Suppose you have 5 teachers and 4 courses. Write a brief outline on how you would set up a bipartite graph for this scenario, drawing from the matching criteria discussed.
💡 Hint: Think about the limits of matching and how to illustrate preferences graphically.
Design a hypothetical scenario in which the reduction from a bipartite matching to a network flow helps solve a more complex problem in allocation.
💡 Hint: Envision resource maximization in terms of nodes and flows.
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