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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the complement of a graph?
💡 Hint: Consider what edges exist in the original graph.
Question 2
Easy
If H is a subgraph of G, what is one potential outcome for H'?
💡 Hint: Think of how edges relate in complements.
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
If H is a subgraph of G, what can we say about H' regarding G'?
- H' is always a subgraph of G'
- H' may not be a subgraph of G'
- H' is identical to G'
💡 Hint: Think of how edges in complements might change.
Question 2
True or False: A graph and its complement must always share the same number of vertices.
- True
- False
💡 Hint: Consider the definition of a complement.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Devise a connected graph G and its subgraph H such that the complement of the subgraph H' avoids being a true subgraph of G's complement G'.
💡 Hint: Visualize the square and track each edge's existence.
Question 2
Using a given graph, manually determine and plot its complement, exploring vertex relationships therein.
💡 Hint: Connect each node and observe missing edges.
Challenge and get performance evaluation