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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What conditions must a degree sequence satisfy to be considered graphic?
💡 Hint: Think about the properties of edges in a graph.
Question 2
Easy
Is the sequence (3, 2, 2, 1) graphic? Justify your answer.
💡 Hint: Try to visualize or sketch the connections based on the degree counts.
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 a graphic sequence?
- A sequence of negative degrees
- A sequence that can represent a simple graph
- A random sequence
💡 Hint: Recall the definition of graphic sequences discussed.
Question 2
True or False: The sum of the degrees in any simple graph must be odd.
- True
- False
💡 Hint: Look back at the degree properties we analyzed.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a degree sequence of (4, 4, 4, 2, 2), prove its graphic nature or lack thereof using appropriate methods.
💡 Hint: Visualize the connections as you apply the theorem methodically.
Question 2
Create a counter-example to show why the sequence (3, 1, 1, 0) cannot be a graphic sequence.
💡 Hint: Try to sketch the configuration or visualize vertex limits.
Challenge and get performance evaluation