Practice Definition - 5.2.1 | 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 of a vertex?

💡 Hint: Think about how many lines connect to a point in a graph.

Question 2

Easy

Define a graphic sequence.

💡 Hint: Remember it must fulfill certain criteria.

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 defines a degree sequence?

  • The total edges
  • List of vertex degrees
  • Sum of the degrees

💡 Hint: Think about what this sequence pertains to.

Question 2

True or False: A graphic sequence can have a sum of degrees that is odd.

  • True
  • False

💡 Hint: Consider how edges relate to vertex degrees.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Evaluate the sequence (8, 3, 2, 2, 0, 1). Is it graphic? Apply any method you can think of.

💡 Hint: Consider the maximum degree and neighboring requirements.

Question 2

Apply the Havel-Hakimi theorem to the sequence (4, 2, 2, 2). Explain each step.

💡 Hint: Visualize how edges may need to be formed during reductions.

Challenge and get performance evaluation