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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a vertex cut.
💡 Hint: Think about the connection between vertices and how their removal affects it.
Question 2
Easy
What is the vertex connectivity for a complete graph?
💡 Hint: Consider how many vertices you can remove without disconnecting it.
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 a vertex cut?
- A set of edges
- A set of vertices
- A single vertex
💡 Hint: Remember what kind of elements are removed to disconnect the graph.
Question 2
True or False: A complete graph can have a vertex connectivity of 0.
- True
- False
💡 Hint: Consider how a complete graph is structured.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a graph with vertices labeled A, B, C, D, and edges (A-B, A-C, B-C, B-D), identify a vertex cut.
💡 Hint: Visualize which connections break when B is removed.
Question 2
Explain why in any connected non-complete graph, the vertex connectivity is less than or equal to the minimum degree.
💡 Hint: Reflect on the connectivity definitions.
Challenge and get performance evaluation