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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
List the requirements for a sequence to be considered graphic.
💡 Hint: Recall the acronym NEE.
Question 2
Easy
Are the vertex degrees in a graphic sequence required to be distinct?
💡 Hint: Think about examples that can have identical values.
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 is one requirement for a sequence to be graphic?
- They can have negative values.
- Sum must be odd.
- Non-negative values.
💡 Hint: Think about physical graph representation.
Question 2
True or False: The sequence (5,3,1) is graphic.
- True
- False
💡 Hint: Check the connectivity of the vertex with the highest degree.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Show that the sequence (5, 4, 3, 3, 2, 1) can be graphic, and construct a corresponding graph.
💡 Hint: Use the Havel-Hakimi theorem to simplify your process.
Question 2
Using the Havel-Hakimi theorem, prove whether (6, 5, 4, 3, 3) is graphic.
💡 Hint: Always rearrange after each step to maintain order.
Challenge and get performance evaluation