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Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the degree sequence of the graph with vertices of degrees 3, 2, and 1?
💡 Hint: List the degrees in non-increasing order.
Question 2
Easy
Is the sequence (4, 3, 2, 1) a graphic sequence?
💡 Hint: Try to visualize a graph.
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
Which of the following conditions must a sequence meet to be considered graphic?
- All degrees must be negative.
- The sum of degrees must be even.
- The sequence must be in random order.
💡 Hint: Recall the relationship between edges and vertex degrees.
Question 2
True or False: Every non-negative sequence is a graphic sequence.
- True
- False
💡 Hint: Consider the necessary conditions we've discussed.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a sequence (6, 5, 4, 3, 2, 1), prove whether this is a graphic sequence using the Havel-Hakimi theorem.
💡 Hint: Calculate the sum to verify.
Question 2
Construct a simple graph from the degree sequence (2, 2, 2, 2).
💡 Hint: Ensure each vertex connects with exactly two others.
Challenge and get performance evaluation