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Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
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Practice Questions
Test your understanding with targeted questions related to the topic.
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.
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 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.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation