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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: Think about how you count edges connected to vertices.
Question 2
Easy
Is the sequence (5, 3, 1, 0) a graphic sequence?
💡 Hint: Remember the sum of degrees must be even.
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 the first step in applying the Havel-Hakimi theorem?
- Remove the highest degree
- Sum the degrees
- Arrange in ascending order
💡 Hint: What do we do with the first value?
Question 2
True or False: The sum of the degrees in any graphic sequence must be odd.
- True
- False
💡 Hint: Think about the properties of edges and vertices.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Formulate a degree sequence of your choice and prove using the Havel-Hakimi theorem whether it’s graphic or not.
💡 Hint: Apply each step and track the degrees closely.
Question 2
Construct a graph based on a successful realization of a graphic sequence. Demonstrate it visually.
💡 Hint: Drawing it helps visualize the relationships that confirm the degrees.
Challenge and get performance evaluation