4.8 - Conclusion
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Practice Questions
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Define vertex connectivity in your own words.
💡 Hint: Think about what happens to a graph when vertices are removed.
What does edge connectivity measure?
💡 Hint: Consider how edges might hold a graph together.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is vertex connectivity?
💡 Hint: Think about which components are crucial for connectivity.
True or False: Edge connectivity is always less than or equal to vertex connectivity.
💡 Hint: Consider the definitions of both types of connectivity.
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Challenge Problems
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Construct a simple graph with a vertex connectivity of 3, where the edge connectivity is 2, and minimum degree equals 4. Explain your reasoning.
💡 Hint: Consider starting with larger graphs and trimming down.
Given a connected graph with 5 vertices and 4 edges, show if it's possible to have a vertex connectivity of 2 while maintaining a high edge connectivity.
💡 Hint: Map out the vertices and edges to visualize connections.
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