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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define vertex connectivity.
💡 Hint: Think about the vertices that connect different parts of a graph.
Question 2
Easy
What is the edge connectivity of a graph?
💡 Hint: Consider the edges that maintain the graph's continuity.
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 degree in a graph?
- The highest degree of a vertex
- The smallest degree of all vertices
- The average degree of all vertices
💡 Hint: Think about which vertex has the least connections.
Question 2
True or False: Vertex connectivity is always greater than or equal to edge connectivity.
- True
- False
💡 Hint: Consider how removing vertices affects edge connections.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove or disprove that among any three graphs, the union's vertex connectivity is less than or equal to the smallest vertex connectivity among the three. Provide an example.
💡 Hint: Think about what happens to the graph structure when combining different graphs.
Question 2
Select a random simple graph and construct its Cartesian product with another random graph. Analyze the resulting graph's properties.
💡 Hint: Remember the rules for connecting vertices based on original adjacency.
Challenge and get performance evaluation