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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the term 'degree sequence' refer to in graph theory?
💡 Hint: Think about what degree means for a vertex.
Question 2
Easy
True or False: A vertex can have a negative degree.
💡 Hint: Consider what a degree represents.
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 degree sequence of a graph?
- A list of the edges in ascending order
- The list of edge weights
- The list of vertices' degrees in non-increasing order
💡 Hint: Consider how you list the degrees.
Question 2
True or False: All sequences that contain non-negative integers can be graphic.
- True
- False
💡 Hint: Reflect on examples that couldn't satisfy graphical conditions.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Construct a graphic sequence of your own with five vertices and explain why it is graphic.
💡 Hint: Think about the connections you can make that meet the degree needs.
Question 2
Apply the Havel-Hakimi theorem to the sequence (8, 6, 6, 4, 2, 1). Show all steps to verify its graphic nature.
💡 Hint: Follow the reduction process diligently and ensure you count correctly.
Challenge and get performance evaluation