4.4 - Question 3
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Practice Questions
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What is vertex connectivity?
💡 Hint: Think about how many vertices you need to remove to make a graph fail.
Define edge connectivity.
💡 Hint: Consider the edges that connect the different parts of the graph.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the definition of vertex connectivity?
💡 Hint: Think about how many roads (vertices) you'd need to block to stop traffic.
Is it true that graph connectivity is higher in complete graphs than in non-complete ones?
💡 Hint: Consider what makes a complete graph complete.
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Challenge Problems
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Design a non-complete graph with at least 6 nodes and identify its vertex and edge connectivity metrics.
💡 Hint: Visualize how many paths lead to disconnecting the graph.
Prove that in a non-complete graph, at least one of the connectivity metrics must be less than the total number of nodes.
💡 Hint: Think about how the total connection must yield a less-than-n metric.
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