Practice Introduction To Bipartite Graphs And Matching (25.1) - Introduction to Bipartite Graphs and Matching

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6 sample questions

Question 1.
What defines a bipartite graph?
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Think about how subsets are structured.
Question 2.
What is a matching in graph theory?
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Consider the relationships between nodes.
3Question 3.
What is a bipartite graph?
- A graph with cycles
- A graph with two disjoint sets
- A graph with no edges
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Recall the definition of bipartite.
4Question 4.
True or False: A maximum matching can have less edges than a maximal matching.
- True
- False
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Consider the meanings of maximal vs maximum.
Question 5.
Given a bipartite graph with specific employees and their skills, determine if a complete matching exists and justify your answer using Hall's Theorem.
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Work through subsets systematically.
Question 6.
Create a scenario involving 5 tasks and 3 employees, provide a bipartite graph, and manually demonstrate whether a complete matching can be achieved.
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Look at overlapping skills closely!

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