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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What defines a bipartite graph?
💡 Hint: Think about how subsets are structured.
Question 2
Easy
What is a matching in graph theory?
💡 Hint: Consider the relationships between nodes.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is a bipartite graph?
- A graph with cycles
- A graph with two disjoint sets
- A graph with no edges
💡 Hint: Recall the definition of bipartite.
Question 2
True or False: A maximum matching can have less edges than a maximal matching.
- True
- False
💡 Hint: Consider the meanings of maximal vs maximum.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a bipartite graph with specific employees and their skills, determine if a complete matching exists and justify your answer using Hall's Theorem.
💡 Hint: Work through subsets systematically.
Question 2
Create a scenario involving 5 tasks and 3 employees, provide a bipartite graph, and manually demonstrate whether a complete matching can be achieved.
💡 Hint: Look at overlapping skills closely!
Challenge and get performance evaluation