4.6.1 - Vertex Chromatic Number
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Practice Questions
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What is the vertex connectivity of a complete graph with 4 vertices?
💡 Hint: How many vertices do you need to remove to disconnect the graph?
Define edge connectivity.
💡 Hint: Think about how many edges you would need to cut.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is vertex connectivity?
💡 Hint: Consider how we define connectivity.
True or False: Edge connectivity can be less than vertex connectivity.
💡 Hint: Review the definitions carefully.
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Challenge Problems
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Construct a non-complete graph with vertex connectivity 2, edge connectivity 2, and a minimum degree of 2. Explain your reasoning.
💡 Hint: Ensure connectivity conditions are met while keeping it non-complete.
Prove that for any simple graph with n vertices, the maximum degree is at least n-1.
💡 Hint: Use a connectivity argument to support degree calculations.
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