4.2.1 - Introduction to Graph Construction
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Practice Questions
Test your understanding with targeted questions
Define vertex connectivity in your own words.
💡 Hint: Think about what happens if you remove vertices.
What does edge connectivity represent?
💡 Hint: Consider the edges that connecting vertices.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the minimum number of vertices that must be removed to disconnect a graph called?
💡 Hint: Focus on vertex removals.
True or False: Edge connectivity is always greater than minimum degree.
💡 Hint: Think of a sparse versus a dense graph.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Design a graph with given parameters: vertex connectivity 4, edge connectivity 3, and minimum degree 5. Provide a detailed construction process.
💡 Hint: Identify the initial complete graphs and think about how many edges you need to add.
Prove that a graph with vertex connectivity k must have a minimum degree of at least k.
💡 Hint: Use examples with varying connections to illustrate.
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