Practice - Question 6
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Practice Questions
Test your understanding with targeted questions
What is the complement of a graph?
💡 Hint: Consider what edges exist in the original graph.
If H is a subgraph of G, what is one potential outcome for H'?
💡 Hint: Think of how edges relate in complements.
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Interactive Quizzes
Quick quizzes to reinforce your learning
If H is a subgraph of G, what can we say about H' regarding G'?
💡 Hint: Think of how edges in complements might change.
True or False: A graph and its complement must always share the same number of vertices.
💡 Hint: Consider the definition of a complement.
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Challenge Problems
Push your limits with advanced challenges
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.
Using a given graph, manually determine and plot its complement, exploring vertex relationships therein.
💡 Hint: Connect each node and observe missing edges.
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