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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is vertex connectivity?
💡 Hint: Think about removing points to create isolation.
Question 2
Easy
Define edge connectivity.
💡 Hint: Consider how many connections you need to sever.
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 must be true about vertex connectivity compared to edge connectivity?
- Vertex connectivity is greater
- Vertex connectivity is less
- Vertex connectivity is equal
💡 Hint: Review the properties discussed about connectivity.
Question 2
True or False: The minimum degree of a graph is always less than or equal to its vertex connectivity.
- True
- False
💡 Hint: Consider the definitions of degree and connectivity.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that for a simple graph with vertex connectivity l and edge connectivity m, if l > m, the graph must contain at least one cut vertex.
💡 Hint: Use contradiction by assuming a scenario where no cut vertices exist.
Question 2
Construct a non-complete graph that meets the criteria: vertex connectivity = edge connectivity = 3, and state why it is not complete.
💡 Hint: Consider structures like cycles or trees that meet the conditions.
Challenge and get performance evaluation