Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers
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Let’s take a look at Alice first. To her, each one of the other five (Bob, Carol, Dave, Ellen, and Frank) is either a friend or a stranger. Suppose Bob, Dave, and Frank are friends to Alice, and…
Solved Counting: product rule, sum rule, inclusion-exclusion
How to prove: at a party of six people either there are three mutual acquaintances or there are three mutual strangers - Quora
Theorem on Friends and Strangers; Why in Any Party of Six People, Either at Least Three of Them Are Mutual Friends, or at Least Three of Them Are Mutual Strangers
Madeline Dawsey--Modular Forms and Ramsey Theory.
Proof by cases example: Three mutual friends/enemies theorem
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SOLVED: Prove this theorem: Among any six people, there exists a group of 3 mutual friends or a group of 3 mutual strangers. (Here friends and strangers are considered symmetric relations, i.e.
Friends and strangers
Friends and strangers
Ramsey's Theorem: Friends and Strangers
Friends and strangers
Friends and strangers
CS290I Lecture notes -- Let's Party
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