TRUE/FALSE? In a party of 6, there are always 3 who are ALL mutual friends or ALL mutual strangers
Автор: Problem Solving Channel
Загружено: 2024-05-01
Просмотров: 324
Описание:
Explore a fascinating graph theory concept simplified in this video. We delve into a scenario where at any gathering of six people, there's a guarantee of finding three individuals who are all mutual friends or all mutual strangers. It is a strange but true fact.
00:00 Problem statement
00:35 Solution
In technical terms, we explain that in a complete graph with six vertices, where each edge is colored either red or blue, there's always a trio of vertices connected by edges of the same color. This is a perfect illustration of a fundamental principle in graph theory, made easy to understand!
More references:
https://en.wikipedia.org/wiki/Ramsey%...
#math #graphtheory #problemsolving #education #puzzle #trueorfalse #strangebuttruefacts #logic
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