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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define vertex connectivity in your own words.
💡 Hint: Think about what happens if you remove vertices.
Question 2
Easy
What does edge connectivity represent?
💡 Hint: Consider the edges that connecting vertices.
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 the minimum number of vertices that must be removed to disconnect a graph called?
- Vertex Connectivity
- Edge Connectivity
- Minimum Degree
💡 Hint: Focus on vertex removals.
Question 2
True or False: Edge connectivity is always greater than minimum degree.
- True
- False
💡 Hint: Think of a sparse versus a dense graph.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Design a graph with given parameters: vertex connectivity 4, edge connectivity 3, and minimum degree 5. Provide a detailed construction process.
💡 Hint: Identify the initial complete graphs and think about how many edges you need to add.
Question 2
Prove that a graph with vertex connectivity k must have a minimum degree of at least k.
💡 Hint: Use examples with varying connections to illustrate.
Challenge and get performance evaluation