Practice Vertex Connectivity of a Graph - 28.1.3 | 28. Vertex and Edge Connectivity | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define what a vertex cut is.

💡 Hint: Think about what happens if you remove certain vertices.

Question 2

Easy

What is vertex connectivity denoted as?

💡 Hint: Remember the notation used in graph theory.

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 vertex connectivity of a complete graph with n vertices?

  • n
  • n-1
  • 0

💡 Hint: Think about how many vertices you can keep connected.

Question 2

True or False: A vertex cut can consist of a single vertex.

  • True
  • False

💡 Hint: Recall what an articulation point is.

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Challenge Problems

Push your limits with challenges.

Question 1

Let G be a graph with 6 vertices, where each vertex has a degree of 3. If one vertex is an articulation point, describe the implications for vertex connectivity.

💡 Hint: Focus on the definition and role of articulation points.

Question 2

In a connected graph with 10 vertices and a minimum degree of 4, what can you say about its vertex connectivity? Discuss any exceptions.

💡 Hint: Recall the upper bounds established and consider the complete graph case.

Challenge and get performance evaluation