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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 the two distinct groups in the graph.
Question 2
Easy
What does matching mean in the context of graphs?
💡 Hint: Consider how you could pair up objects 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 is a bipartite graph?
- A graph with one set of vertices
- A graph where edges connect vertices from two distinct sets
- A complete graph
💡 Hint: Consider the definition and how vertices are arranged.
Question 2
True or False: A complete matching always exists in every bipartite graph.
- True
- False
💡 Hint: Think about conditions necessary for complete matching.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a bipartite graph with subsets U={1, 2, 3} and V={a, b} where U has preferences: 1-a, 1-b, 2-a, 3-a, determine if complete matching is possible.
💡 Hint: Use Hall's theorem to check against preferences.
Question 2
In a graph representing students to projects, students S={X, Y} can do projects P={1, 2, 3}. X can do 1 & 2, Y can do 2 & 3. Is there complete matching?
💡 Hint: Analyze the connections using Hall's theorem conditions.
Challenge and get performance evaluation