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

Practice: Job Assignment Problem

Lesson 25.1.1Introduction to Bipartite Graphs and Matching

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9 questions

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6 sample questions

Question 1.
What is a bipartite graph?
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Think of two groups with connections only between them.
Question 2.
Define maximum matching.
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It's about finding the biggest collection of edges.
3Question 3.
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
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Think about how the vertices are connected.
4Question 4.
True or False: A maximal matching is the largest matching possible.
- True
- False
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Consider what 'maximal' means.
Question 5.
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.
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Map tasks to available employees carefully.
Question 6.
Create a real-world scenario that demonstrates Hall's Marriage Theorem, emphasizing the relationship between tasks and resources. Provide a diagram.
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Use a visual aid to assist in your explanation.

5 more questions in this section. Enroll free to practise them all.