Practice Discrete Mathematics - 5.1 | 5. Lecture - 54 | Discrete Mathematics - Vol 3
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Discrete Mathematics

5.1 - Discrete Mathematics

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a degree sequence?

💡 Hint: Think about how we organize the degrees.

Question 2 Easy

Can a degree sequence have negative values?

💡 Hint: Consider what a negative degree would imply.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Is the degree sequence (4, 3, 3, 2) graphic?

True
False

💡 Hint: Try imagining the graph layout.

Question 2

What must the sum of degrees be equal to in a simple graph?

Odd number
Even number
None of the above

💡 Hint: Consider how many edges connect vertices.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given the degree sequence (7, 3, 2, 2, 1), can you construct a valid simple graph? Explain your steps.

💡 Hint: Check progression after each reduction.

Challenge 2 Hard

If the degree sequence is (3, 3, 3, 3, 3), how many edges does the graph have? Illustrate it.

💡 Hint: Use the sum of degrees formula.

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Reference links

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