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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 how many nodes you could take out to break a path.
Question 2
Easy
If a graph has n vertices, what is the maximum number of edges it can have?
💡 Hint: This counts every connection.
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 defines vertex connectivity?
- The number of edges
- Minimum vertex removal for disconnection
- Minimum edges to maintain connection
💡 Hint: Think about how you'd keep a group connected.
Question 2
True or False: Every complete graph has vertex connectivity equal to n-1.
- True
- False
💡 Hint: Consider how many edges are possible in a complete structure.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Construct two graphs where vertex and edge connectivity varies but both achieve the same minimum degree. Explain how it's achieved.
💡 Hint: Use different configurations to maintain degree but vary edges.
Question 2
Design a simple graph with 6 vertices, ensuring that vertex connectivity is 4, while edge connectivity is lesser. Show configurations.
💡 Hint: Think about groups that rely on fewer vertices while maintaining edge diversity.
Challenge and get performance evaluation