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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a bipartite graph?
💡 Hint: Remember the term 'bi' means two.
Question 2
Easy
Define matching.
💡 Hint: Think about connections 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?
- True
- False
💡 Hint: Recall the definition features two groups.
Question 2
A maximum matching can be larger than a maximal matching.
- True
- False
💡 Hint: Think about how many edges each can have.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
In a bipartite graph with employees A, B, and C, and modules 1, 2, and 3, if A can do modules 1 & 2, B can do 2 & 3, and C can do 1 & 3, illustrate if a complete matching exists.
💡 Hint: Review potential overlaps in assignments.
Question 2
Create an example of a bipartite graph that demonstrates Hall's theorem failing to hold.
💡 Hint: Count neighbors of the subset you select.
Challenge and get performance evaluation