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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 structured.
Question 2
Easy
What is a perfect matching?
💡 Hint: Consider scenarios with distinct pairs.
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 one set of vertices
- A graph with two distinct vertex sets
- A graph with edges only between its vertices
💡 Hint: Remember the characteristics of vertex sets.
Question 2
True or False: A perfect matching can exist in an unbalanced bipartite graph.
- True
- False
💡 Hint: Consider the implications of unequal sets.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Imagine a scenario with three courses and five teachers, each having different preferences. Model this using a bipartite graph, and determine if a perfect matching exists.
💡 Hint: Check each teacher’s preferences and map them accordingly.
Question 2
Transform the following teacher-course assignments into a network flow diagram: Teacher 1 (Math, History), Teacher 2 (Biology), Teacher 3 (Economics). How would you represent this in a flow network?
💡 Hint: Visualize how flow connects the teachers to the courses.
Challenge and get performance evaluation