Practice Degree of a Vertex - 24.1.5 | 24. Graph Theory Basics | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the degree of vertex A if it connects to three edges?

💡 Hint: Count each connecting edge.

Question 2

Easy

True or False: A self-loop adds one to the degree of a vertex.

💡 Hint: Recall how we define self-loops.

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 degree of a vertex?

  • Number of edges connected to it
  • Number of paths to it
  • The weight of the vertex

💡 Hint: Think about the count of edges incident to the vertex.

Question 2

True or False: The Handshaking Theorem concludes that the number of odd-degree vertices is even.

  • True
  • False

💡 Hint: Recall the theorem and its implications.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a graph with 7 vertices and 10 edges, what can you infer about the total degree and the number of odd-degree vertices?

💡 Hint: Use the Handshaking theorem to deduce the conclusion.

Question 2

Create an undirected graph with 3 odd-degree vertices and explain why this is not possible.

💡 Hint: Consider how odd numbers add together.

Challenge and get performance evaluation