5.4.2.2 - Case 2: Vertex v is Not Adjacent
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Practice Questions
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Determine if the sequence (3, 2, 2) is graphic.
💡 Hint: Check if the sum is even.
Is the sequence (0, 0, 0) graphic?
💡 Hint: Consider the nature of disconnected vertices.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What must the sum of a graphic sequence be?
💡 Hint: Consider how edges are counted in a graph.
The Havel-Hakimi theorem is used to verify if a sequence is graphic. True or False?
💡 Hint: Think of the iterative method employed.
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Challenge Problems
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Given the sequence (8, 5, 5, 4, 4, 3, 2), assess if it's graphic and explain your reasoning.
💡 Hint: Use the Havel-Hakimi method step by step.
Analyze the sequence (10, 3, 3, 2, 1) and determine if it can exist as a graphic sequence.
💡 Hint: Look for contradictions when applying the theorem.
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