Practice Proof of the Havel-Hakimi Theorem - 5.4 | 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 a degree sequence?

💡 Hint: Think about how you would list the degrees of the vertices.

Question 2

Easy

Is the sequence (3, 2, 1) graphic? Why?

💡 Hint: Try to visualize the connections between the vertices.

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

Is the sequence (1, 1, 1) graphic?

  • True
  • False

💡 Hint: Remember to visualize the connections!

Question 2

What does the Havel-Hakimi theorem help you determine?

  • If a graph is connected
  • If a degree sequence is graphic
  • The number of edges in a graph

💡 Hint: Think about the theorem's purpose!

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create a degree sequence of your choice that is graphic and explain why using Havel-Hakimi.

💡 Hint: Start with the highest degree!

Question 2

Formulate a non-graphic sequence and demonstrate using Havel-Hakimi that it cannot be represented.

💡 Hint: Note the importance of each decrement.

Challenge and get performance evaluation