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Tue, 03 Jun 2025

14:00 - 15:00
L4

A new lower bound for the Ramsey numbers $R(3,k)$

Julian Sahasrabudhe
(University of Cambridge)
Abstract

In this talk I will discuss a new lower bound for the off-diagonal Ramsey numbers $R(3,k)$. For this, we develop a version of the triangle-free process that is significantly easier to analyse than the original process. We then 'seed' this process with a carefully chosen graph and show that it results in a denser graph that is still sufficiently pseudo-random to have small independence number.

This is joint work with Marcelo Campos, Matthew Jenssen and Marcus Michelen.

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