Practice Definition Of A Vertex Cut (28.1.2) - Vertex and Edge Connectivity

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6 sample questions

Question 1.
Define a vertex cut.
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Think about the connection between vertices and how their removal affects it.
Question 2.
What is the vertex connectivity for a complete graph?
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Consider how many vertices you can remove without disconnecting it.
3Question 3.
What is a vertex cut?
- A set of edges
- A set of vertices
- A single vertex
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Remember what kind of elements are removed to disconnect the graph.
4Question 4.
True or False: A complete graph can have a vertex connectivity of 0.
- True
- False
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Consider how a complete graph is structured.
Question 5.
Given a graph with vertices labeled A, B, C, D, and edges (A-B, A-C, B-C, B-D), identify a vertex cut.
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Visualize which connections break when B is removed.
Question 6.
Explain why in any connected non-complete graph, the vertex connectivity is less than or equal to the minimum degree.
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Reflect on the connectivity definitions.

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