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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 how you would break apart a graph.
Question 2
Easy
What is edge connectivity?
💡 Hint: Consider what you would cut to separate a graph into parts.
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 relationship between vertex connectivity and edge connectivity?
- Vertex connectivity is greater than edge connectivity
- Vertex connectivity is less than or equal to edge connectivity
- They are equal
💡 Hint: Remember, removing vertices does not add connections.
Question 2
True or False: Minimizing the number of edges in a graph while maintaining connectivity is possible with less than m edges.
- True
- False
💡 Hint: Think about the definitions we've discussed.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Formulate a simple graph with l=2, m=3, n=4 and describe its properties in detail.
💡 Hint: Visualize how nodes connect back to maintain compactness.
Question 2
Consider a graph with 7 vertices and the following degrees: 3, 4, 2, 5, 6, 1, 1. Analyze its connectivity and characterize potential edge removals.
💡 Hint: Use the degree counts to see if connections could be severed.
Challenge and get performance evaluation