4.1.3 - Lecture - 53
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Practice Questions
Test your understanding with targeted questions
What is vertex connectivity?
💡 Hint: Think about removing points to create isolation.
Define edge connectivity.
💡 Hint: Consider how many connections you need to sever.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What must be true about vertex connectivity compared to edge connectivity?
💡 Hint: Review the properties discussed about connectivity.
True or False: The minimum degree of a graph is always less than or equal to its vertex connectivity.
💡 Hint: Consider the definitions of degree and connectivity.
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Challenge Problems
Push your limits with advanced challenges
Prove that for a simple graph with vertex connectivity l and edge connectivity m, if l > m, the graph must contain at least one cut vertex.
💡 Hint: Use contradiction by assuming a scenario where no cut vertices exist.
Construct a non-complete graph that meets the criteria: vertex connectivity = edge connectivity = 3, and state why it is not complete.
💡 Hint: Consider structures like cycles or trees that meet the conditions.
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