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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a bipartite graph.
💡 Hint: Think about how the vertices are grouped.
Question 2
Easy
What is a matching?
💡 Hint: Consider how roles can be paired without overlap.
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 defines a bipartite graph?
- Edges connect vertices in the same group
- Vertices divided into two groups
- All vertices are connected
💡 Hint: Consider how vertices are organized.
Question 2
Is a maximal matching always a maximum matching?
- True
- False
💡 Hint: Think about sizes and properties.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
In a bipartite graph representing 5 jobs and 3 employees, demonstrate potential matchings and assess if a complete matching can be achieved.
💡 Hint: Sketch the graph to visualize options.
Question 2
Apply Hall's theorem to a bipartite graph with specific subsets and determine if a complete matching is feasible. Justify your conclusion.
💡 Hint: Count neighbors carefully against subset sizes.
Challenge and get performance evaluation