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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a degree sequence?
💡 Hint: Consider the connections each vertex has.
Question 2
Easy
Can a sequence containing a negative degree be considered graphic?
💡 Hint: Think about the practical meaning of degrees.
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 condition must be met for a degree sequence to be graphic?
- The sum must be odd
- All values must be non-negative
- It is isolated
💡 Hint: Think about the physical meaning of a vertex's connections.
Question 2
Is the sequence [1, 2, 3] graphic?
- True
- False
💡 Hint: Try sketching the connections.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the sequence [6, 5, 4, 4, 3, 2], analyze whether it is graphic using the Havel-Hakimi theorem.
💡 Hint: Follow the steps carefully and visualize the adjustments in graph degrees.
Question 2
Prove that the sequence [1, 1, 1, 1] is graphic. Provide a diagram or written explanation to support your answer.
💡 Hint: Visuals help! Try sketching the connections between vertices.
Challenge and get performance evaluation