Practice Discrete Mathematics - 29.1 | 29. Introduction to Tutorial 8 | Discrete Mathematics - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

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?

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

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.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation