Practice Introduction To Tutorial 8 (29.1.1) - Introduction to Tutorial 8
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Introduction to Tutorial 8

Practice - Introduction to Tutorial 8

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a Ramsey number.

💡 Hint: Think about friendships among a group.

Question 2 Easy

What is an articulation point in a graph?

💡 Hint: Imagine removing a friend from a friend circle.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is R(3, 3)?

Guarantees 3 friends
Guarantees 3 enemies
Both

💡 Hint: Think about group dynamics!

Question 2

True or False: A tree with 5 nodes has 6 edges.

True
False

💡 Hint: Remember the formula for trees.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a graph with 10 nodes where every vertex is connected to exactly 4 others. Is it a tree, and if not, why?

💡 Hint: Recall that trees must follow specific edge-node relationships.

Challenge 2 Hard

If a graph is self-complementary with 12 vertices, prove it must have 4k or 4k+1 vertices.

💡 Hint: Think about how edges are distributed between complementary graphs.

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