Practice Question 5 (29.1.6) - Introduction to Tutorial 8 - Discrete Mathematics - Vol 2
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Question 5

Practice - Question 5

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Practice Questions

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Question 1 Easy

Define a self-complementary graph.

💡 Hint: Think about what 'self-complementary' implies.

Question 2 Easy

What is the significance of the vertex count in a self-complementary graph?

💡 Hint: Consider the implications of isomorphic graphs.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a self-complementary graph?

💡 Hint: Think of the meaning of 'complement' in graph theory.

Question 2

If a graph has 8 vertices, is it necessarily self-complementary?

True
False

💡 Hint: Recall the vertex count conditions.

1 more question available

Challenge Problems

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Challenge 1 Hard

Design a self-complementary graph with 16 vertices. List all vertices and describe how the edges are formed.

💡 Hint: Visualize each group's connections to maintain structure.

Challenge 2 Hard

Explain why a self-complementary graph with 5 vertices cannot exist. Provide reasoning.

💡 Hint: Analyze the vertex conditions in-depth.

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