Practice Case 1: Vertex v is Adjacent - 5.4.2.1 | 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 sequence?

💡 Hint: Think about how you order numbers.

Question 2

Easy

Can a degree sequence contain negative numbers?

💡 Hint: Consider what a negative degree would imply.

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 graphic sequence?

  • A sequence with negative numbers
  • A sequence that can represent a simple graph
  • An unordered collection of numbers

💡 Hint: Consider the definitions we just discussed.

Question 2

True or False: The sum of degrees in a graphic sequence can be odd.

  • True
  • False

💡 Hint: Remember the connection between edges and vertex degrees.

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Challenge Problems

Push your limits with challenges.

Question 1

Prove that the sequence (4, 3, 2, 2, 1) is graphic using the Havel-Hakimi theorem.

💡 Hint: Use the steps of reduction methodically.

Question 2

Construct a graphic sequence for a simple triangle and a simple square.

💡 Hint: Consider the number of vertices and edges in each shape.

Challenge and get performance evaluation