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...
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 |
Similar Items
-
SYMMETRIC AND ASYMMETRIC RAMSEY PROPERTIES IN RANDOM HYPERGRAPHS
by: LUCA GUGELMANN, et al.
Published: (2017-01-01) -
Ramsey numbers of cycles versus general graphs
by: John Haslegrave, et al.
Published: (2023-01-01) -
A Note on Lower Bounds for Induced Ramsey Numbers
by: Gorgol Izolda
Published: (2019-08-01) -
Star-Critical Ramsey Numbers for Cycles Versus K4
by: Jayawardene Chula J., et al.
Published: (2021-05-01) -
Gallai-Ramsey Numbers for Rainbow S3+S_3^ + and Monochromatic Paths
by: Li Xihe, et al.
Published: (2022-05-01)