Practice Example Sequences - 5.2.3 | 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 order numbers in a list.

Question 2

Easy

Can a degree sequence have negative numbers?

💡 Hint: Consider the nature of a vertex. Can it have a negative connection?

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 a condition for a sequence to be graphic?

  • The sum of degrees must be odd
  • The sum of degrees must be even
  • All should be equal

💡 Hint: Think about what happens to the edges.

Question 2

True or False: All sequences that start with zeros can never be graphic.

  • True
  • False

💡 Hint: What would a zero degree imply?

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the sequence (3, 2, 2, 1), perform the Havel-Hakimi process and determine if it's graphic.

💡 Hint: Follow each step carefully and keep the numbers aligned!

Question 2

Explain why the sequence (8, 6, 4, 4, 2) cannot be represented as a graphic sequence.

💡 Hint: Check your arithmetic when summing those degrees!

Challenge and get performance evaluation