Practice Example Sequences - 5.2.3 | 5. Lecture - 54 | Discrete Mathematics - Vol 3
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Example Sequences

5.2.3 - Example Sequences

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Practice Questions

Test your understanding with targeted questions

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?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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?

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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!

Challenge 2 Hard

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

💡 Hint: Check your arithmetic when summing those degrees!

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