Tower Gaps in Multicolour Ramsey Numbers

Resolving a problem of Conlon, Fox and Rödl, we construct a family of hypergraphs with arbitrarily large tower height separation between their $2$ -colour and q-colour Ramsey numbers. The main lemma underlying this construction is a new variant of the Erdős–Hajnal stepping-up lemma for a gener...

Full description

Bibliographic Details
Main Authors: Quentin Dubroff, António Girão, Eoin Hurley, Corrine Yap
Format: Article
Language:English
Published: Cambridge University Press 2023-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509423000890/type/journal_article