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4 cards from this section. Quick, good the night before a test.
What is a Ramsay number?
Think about groups and relationships, specifically friendships or rivalries.
What does it mean for two nodes in a graph to be connected?
Remember, an edge signifies friendship in our model.
What does the Ramsay number R(3, 3) signify?
Think about how friendship and rivalry can be interchanged.
True or False: Every group of 6 people will always contain either three mutual friends or three mutual enemies.
This is the foundational claim of Ramsay's theory.
In a group of 6 individuals A, B, C, D, E, F, construct a diagram to show all possible pair relationships (friend or enemy), and demonstrate Rogers' theorem seat structure.
Remember your basic graphing skills as you depict relationships.
Prove the Ramsey theorem by finding subsets of the group above and showing there will always be either three friends or three enemies.
Use both the original and complement graphs.
5 more questions in this section. Enroll free to practise them all.
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