Practice Vertex Connectivity Of A Graph (28.1.3)

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6 sample questions

Question 1.
Define what a vertex cut is.
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Think about what happens if you remove certain vertices.
Question 2.
What is vertex connectivity denoted as?
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Remember the notation used in graph theory.
3Question 3.
What is the vertex connectivity of a complete graph with n vertices?
- n
- n-1
- 0
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Think about how many vertices you can keep connected.
4Question 4.
True or False: A vertex cut can consist of a single vertex.
- True
- False
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Recall what an articulation point is.
Question 5.
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.
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Focus on the definition and role of articulation points.
Question 6.
In a connected graph with 10 vertices and a minimum degree of 4, what can you say about its vertex connectivity? Discuss any exceptions.
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Recall the upper bounds established and consider the complete graph case.

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