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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Determine if the sequence (3, 2, 2) is graphic.
💡 Hint: Check if the sum is even.
Question 2
Easy
Is the sequence (0, 0, 0) graphic?
💡 Hint: Consider the nature of disconnected vertices.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What must the sum of a graphic sequence be?
- Odd
- Even
- Prime
💡 Hint: Consider how edges are counted in a graph.
Question 2
The Havel-Hakimi theorem is used to verify if a sequence is graphic. True or False?
- True
- False
💡 Hint: Think of the iterative method employed.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation