5.4 - Proof of the Havel-Hakimi Theorem
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Practice Questions
Test your understanding with targeted questions
What is a degree sequence?
💡 Hint: Think about how you would list the degrees of the vertices.
Is the sequence (3, 2, 1) graphic? Why?
💡 Hint: Try to visualize the connections between the vertices.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Is the sequence (1, 1, 1) graphic?
💡 Hint: Remember to visualize the connections!
What does the Havel-Hakimi theorem help you determine?
💡 Hint: Think about the theorem's purpose!
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Challenge Problems
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Create a degree sequence of your choice that is graphic and explain why using Havel-Hakimi.
💡 Hint: Start with the highest degree!
Formulate a non-graphic sequence and demonstrate using Havel-Hakimi that it cannot be represented.
💡 Hint: Note the importance of each decrement.
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