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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a self-complementary graph.
💡 Hint: Think about the relationship between a graph and its complement.
Question 2
Easy
Provide an example of a self-complementary graph.
💡 Hint: Consider small complete graphs.
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 defines a self-complementary graph?
- It has more vertices than edges
- It's isomorphic to its complement
- It contains cycles
💡 Hint: Focus on the definition of isomorphic graphs.
Question 2
True or False: A graph with 7 vertices can be self-complementary.
- True
- False
💡 Hint: Think about the remainder when dividing 7 by 4.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Construct a self-complementary graph with 12 vertices. Illustrate how you grouped the vertices and the connections made.
💡 Hint: Remember to connect completely within some groups and leave some connections absent for others.
Question 2
Prove that a graph cannot be self-complementary if it has an odd number of vertices.
💡 Hint: Examine how edges are counted in both graphs.
Challenge and get performance evaluation