Practice Discrete Mathematics (29.1) - Introduction to Tutorial 8 - Discrete Mathematics - Vol 2
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Discrete Mathematics

Practice - Discrete Mathematics

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the Ramsey number R(3, 3)?

💡 Hint: Think about how connections can form in a group of six.

Question 2 Easy

Define an articulation point in graph theory.

💡 Hint: What happens when you remove a key node?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Ramsey number R(3, 3) signify?

It determines edge count.
It indicates friend/enemy groups.
It's a type of graph.

💡 Hint: Relate it to social interactions.

Question 2

True or False? Every tree with n nodes has n edges.

True
False

💡 Hint: Consider basic examples of trees during your answer.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a simple graph with 8 vertices that includes articulation points. What happens when you remove each point?

💡 Hint: Use cycles and direct connections creatively.

Challenge 2 Hard

Given R(3, 3) is 6, demonstrate for R(4, 4) and conjecture the minimum needed for R(k, k) as k increases.

💡 Hint: Sketch graphs to demonstrate increasing complexity.

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