28.1.2 - Definition of a Vertex Cut
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Practice Questions
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Define a vertex cut.
💡 Hint: Think about the connection between vertices and how their removal affects it.
What is the vertex connectivity for a complete graph?
💡 Hint: Consider how many vertices you can remove without disconnecting it.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a vertex cut?
💡 Hint: Remember what kind of elements are removed to disconnect the graph.
True or False: A complete graph can have a vertex connectivity of 0.
💡 Hint: Consider how a complete graph is structured.
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Challenge Problems
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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.
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.
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