5.3.2 - Construction of Sequence S*
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Practice Questions
Test your understanding with targeted questions
What conditions must a degree sequence satisfy to be considered graphic?
💡 Hint: Think about the properties of edges in a graph.
Is the sequence (3, 2, 2, 1) graphic? Justify your answer.
💡 Hint: Try to visualize or sketch the connections based on the degree counts.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a graphic sequence?
💡 Hint: Recall the definition of graphic sequences discussed.
True or False: The sum of the degrees in any simple graph must be odd.
💡 Hint: Look back at the degree properties we analyzed.
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Challenge Problems
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Given a degree sequence of (4, 4, 4, 2, 2), prove its graphic nature or lack thereof using appropriate methods.
💡 Hint: Visualize the connections as you apply the theorem methodically.
Create a counter-example to show why the sequence (3, 1, 1, 0) cannot be a graphic sequence.
💡 Hint: Try to sketch the configuration or visualize vertex limits.
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