4.7.1 - Counting Argument
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Practice Questions
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Define vertex connectivity in your own words.
💡 Hint: Think about how you would break apart a graph.
What is edge connectivity?
💡 Hint: Consider what you would cut to separate a graph into parts.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the relationship between vertex connectivity and edge connectivity?
💡 Hint: Remember, removing vertices does not add connections.
True or False: Minimizing the number of edges in a graph while maintaining connectivity is possible with less than m edges.
💡 Hint: Think about the definitions we've discussed.
2 more questions available
Challenge Problems
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Formulate a simple graph with l=2, m=3, n=4 and describe its properties in detail.
💡 Hint: Visualize how nodes connect back to maintain compactness.
Consider a graph with 7 vertices and the following degrees: 3, 4, 2, 5, 6, 1, 1. Analyze its connectivity and characterize potential edge removals.
💡 Hint: Use the degree counts to see if connections could be severed.
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