Practice Summary Of Key Concepts (25.2.1) - Introduction to Bipartite Graphs and Matching
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Summary of Key Concepts

Practice - Summary of Key Concepts

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a bipartite graph.

💡 Hint: Think about the two distinct groups connected by edges.

Question 2 Easy

What is maximum matching?

💡 Hint: Maximum means the highest count.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a bipartite graph?

A graph with cycles
A graph that can be colored with two colors
A graph formed of disjoint vertex sets

💡 Hint: Visualize the two groups in the graph.

Question 2

True or False: A complete matching occurs when all vertices match in a bipartite graph.

True
False

💡 Hint: Think about what it means to match everyone.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a bipartite graph of six employees and four modules, illustrate the maximum matching possible and demonstrate why finding a complete matching is difficult.

💡 Hint: Focus on the interconnections between tasks and available resources.

Challenge 2 Hard

Design a scenario representing Hall's Marriage Theorem where certain employees cannot meet the job requirements and illustrate it using a bipartite graph.

💡 Hint: Evaluate subsets carefully to determine neighbor counts.

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