28.1.3 - Vertex Connectivity of a Graph
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Practice Questions
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Define what a vertex cut is.
💡 Hint: Think about what happens if you remove certain vertices.
What is vertex connectivity denoted as?
💡 Hint: Remember the notation used in graph theory.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the vertex connectivity of a complete graph with n vertices?
💡 Hint: Think about how many vertices you can keep connected.
True or False: A vertex cut can consist of a single vertex.
💡 Hint: Recall what an articulation point is.
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Challenge Problems
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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.
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.
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