5.3.1 - 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 count edges connected to vertices.
Is the sequence (5, 3, 1, 0) a graphic sequence?
💡 Hint: Remember the sum of degrees must be even.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the first step in applying the Havel-Hakimi theorem?
💡 Hint: What do we do with the first value?
True or False: The sum of the degrees in any graphic sequence must be odd.
💡 Hint: Think about the properties of edges and vertices.
1 more question available
Challenge Problems
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Formulate a degree sequence of your choice and prove using the Havel-Hakimi theorem whether it’s graphic or not.
💡 Hint: Apply each step and track the degrees closely.
Construct a graph based on a successful realization of a graphic sequence. Demonstrate it visually.
💡 Hint: Drawing it helps visualize the relationships that confirm the degrees.
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