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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the vertex connectivity of a complete graph with 4 vertices?
💡 Hint: How many vertices do you need to remove to disconnect the graph?
Question 2
Easy
Define edge connectivity.
💡 Hint: Think about how many edges you would need to cut.
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 vertex connectivity?
- Number of edges to disconnect a graph
- Number of vertices to disconnect a graph
- Minimum degree of a vertex
💡 Hint: Consider how we define connectivity.
Question 2
True or False: Edge connectivity can be less than vertex connectivity.
- True
- False
💡 Hint: Review the definitions carefully.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Construct a non-complete graph with vertex connectivity 2, edge connectivity 2, and a minimum degree of 2. Explain your reasoning.
💡 Hint: Ensure connectivity conditions are met while keeping it non-complete.
Question 2
Prove that for any simple graph with n vertices, the maximum degree is at least n-1.
💡 Hint: Use a connectivity argument to support degree calculations.
Challenge and get performance evaluation