28.1.8 - Conclusion
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Practice Questions
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Define vertex cut in your own words.
💡 Hint: Think about what happens when you take away certain vertices.
What does edge connectivity refer to?
💡 Hint: Consider why you might want to remove edges.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a vertex cut?
💡 Hint: Think about what parts of a graph can be removed to cause disconnectivity.
Edge connectivity is represented by which symbol?
💡 Hint: Consider symbols commonly used in mathematics.
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Challenge Problems
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Given a connected graph with 7 vertices, where vertex A is connected to B, C, D, and E, while B connects back to A, C, and F, and C further connects to G. Find and justify the vertex cut(s).
💡 Hint: Check how connections work before and after removal.
For any arbitrary connected graph, prove or disprove that at least one vertex cut exists. Provide reasoning.
💡 Hint: Think about the structure of the graph.
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