Practice Degree Sequence of a Graph - 5.2 | 5. Lecture - 54 | Discrete Mathematics - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the degree of a vertex?

💡 Hint: Think of how many friends a person has in a social network.

Question 2

Easy

Does a vertex degree can be negative?

💡 Hint: Try to visualize it with real-life objects.

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 does the degree of a vertex represent?

💡 Hint: Visualize how many paths lead to this vertex.

Question 2

True or False: The sum of degrees in any graph must be odd.

  • True
  • False

💡 Hint: Remember how edges link two vertices.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Evaluate whether the sequence [7, 6, 5, 4, 3, 2, 1] can be a degree sequence. Justify your answer using the Havel-Hakimi theorem.

💡 Hint: Break down the highest number first!

Question 2

Design a simple graph for the degree sequence [3, 3, 3, 3] and outline the possible arrangements.

💡 Hint: Consider how each vertex connects with others.

Challenge and get performance evaluation