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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a graphic sequence.
💡 Hint: Think about what a graph represents.
Question 2
Easy
What does the Havel-Hakimi theorem help prove?
💡 Hint: Consider what path or edges we can visualize.
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
Is the sequence [5, 2, 2, 1] graphic?
- True
- False
💡 Hint: Check the degrees against how many connections they can create.
Question 2
What condition must be met for a sequence to be graphic?
- All integers must be even
- Sum of degrees must be even
- Degree values must be prime
💡 Hint: Think of how edges are counted in a graph.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the sequence [6, 5, 4, 4, 3, 2] is graphic by constructing a graph.
💡 Hint: Remember to adjust your connections based on degree constraints.
Question 2
Using the Havel-Hakimi method, show that the sequence [1, 1, 1, 0] cannot be graphic.
💡 Hint: Focus on the odd count of degrees in the sequence.
Challenge and get performance evaluation