Lecture

Four Functions Theorem

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MATH-467: Probabilistic methods in combinatorics

The 'probabilistic method' is a fundamental tool in combinatorics. The basic idea is as follows: to prove that an object (for example, graph) with certain properties exists, it suffices to prove that if the object is chosen at random, then it has the desir ...

Description

This lecture covers the Four Functions Theorem, discussing concepts such as positive correlation, XY2 inequality, monotone increasing property, and boosting theorem. The instructor explains the theorem using examples and explores the implications of the theorem in various scenarios.

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