Practice Unknown Graph G - 4.3.1 | 4. Prof. Ashish Choudhury | Discrete Mathematics - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define vertex connectivity in your own words.

💡 Hint: Think of how many people would need to leave a party to separate the remaining guests.

Question 2

Easy

What is the minimum degree of a graph?

💡 Hint: Look for the least connected person in a group photo.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the relationship between vertex connectivity and edge connectivity?

  • Vertex connectivity > Edge connectivity
  • Edge connectivity > Vertex connectivity
  • They are equal

💡 Hint: Remember the definitions!

Question 2

True or False: A complete graph's vertex connectivity is 1.

  • True
  • False

💡 Hint: Consider the definition of a complete graph.

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Challenge Problems

Push your limits with challenges.

Question 1

Construct a graph with 6 vertices that has a vertex connectivity of 3, edge connectivity of 4, and a minimum degree of 5. Justify your construction.

💡 Hint: Use trial-and-error and keep connectivity rules in mind.

Question 2

Given a graph with 8 vertices and minimum degree of 3, show that it has at least 12 edges, and explain your reasoning.

💡 Hint: Employ properties like Handshaking Lemma.

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