Practice Job Assignment Problem (25.1.1) - Introduction to Bipartite Graphs and Matching
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Job Assignment Problem

Practice - Job Assignment Problem

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Practice Questions

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Question 1 Easy

What is a bipartite graph?

💡 Hint: Think of two groups with connections only between them.

Question 2 Easy

Define maximum matching.

💡 Hint: It's about finding the biggest collection of edges.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a bipartite graph?

A graph with edges connecting in one set only
A graph with edges connecting two distinct vertex sets
A graph with no connections

💡 Hint: Think about how the vertices are connected.

Question 2

True or False: A maximal matching is the largest matching possible.

True
False

💡 Hint: Consider what 'maximal' means.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a bipartite graph with four employees and three tasks where each employee can handle two tasks, find if a complete matching may be achieved without repeat assignments.

💡 Hint: Map tasks to available employees carefully.

Challenge 2 Hard

Create a real-world scenario that demonstrates Hall's Marriage Theorem, emphasizing the relationship between tasks and resources. Provide a diagram.

💡 Hint: Use a visual aid to assist in your explanation.

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