Practice Question 1 - 4.2 | 4. Prof. Ashish Choudhury | Discrete Mathematics - Vol 3
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Practice Questions

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Question 1

Easy

Define vertex connectivity.

💡 Hint: Think about how many vertices can be removed.

Question 2

Easy

What does edge connectivity refer to?

💡 Hint: Focus on the word 'edge' in the definition.

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Interactive Quizzes

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Question 1

What is the relationship between vertex and edge connectivity?

  • Vertex connectivity is greater than edge connectivity.
  • Vertex connectivity is less than or equal to edge connectivity.
  • They are the same.

💡 Hint: Think about what you need to remove to disconnect the graph.

Question 2

True or False: Removing all edges will also remove vertex connectivity.

  • True
  • False

💡 Hint: Consider how edges and vertices interact.

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Challenge Problems

Push your limits with challenges.

Question 1

How can you create a simple graph satisfying l = 2, m = 3, and n = 4? Discuss the necessary steps and properties.

💡 Hint: Start with basic complete graphs and build from there.

Question 2

Discuss the impact on vertex connectivity if vertex degree decreases. How might this affect edge connectivity?

💡 Hint: Think of connectivity as a chain reaction.

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