Practice - Self-complementary Graph
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define a self-complementary graph.
💡 Hint: Think about the relationship between a graph and its complement.
Provide an example of a self-complementary graph.
💡 Hint: Consider small complete graphs.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a self-complementary graph?
💡 Hint: Focus on the definition of isomorphic graphs.
True or False: A graph with 7 vertices can be self-complementary.
💡 Hint: Think about the remainder when dividing 7 by 4.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
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.
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.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.