Practice Implication Two - 5.4.2 | 5. Lecture - 54 | Discrete Mathematics - Vol 3
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Implication Two

5.4.2 - Implication Two

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a degree sequence?

💡 Hint: Think of the vertex degrees.

Question 2 Easy

Can a degree sequence contain negative numbers?

💡 Hint: Consider what a degree represents.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a graphic sequence?

A sequence of positive integers only
A sequence that can represent a simple graph
Any sequence of numbers

💡 Hint: Consider what conditions are required in graph theory.

Question 2

True or False: Every degree sequence must have at least one vertex with a degree of 0.

True
False

💡 Hint: Think about full connectivity.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Imagine a degree sequence of (4, 4, 4, 2). Determine if it is graphic and explain your reasoning thoroughly.

💡 Hint: Try drawing it out!

Challenge 2 Hard

Construct two sequences, one graphic and one non-graphic, justify your choices.

💡 Hint: Visualize graph connectivity!

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Reference links

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