Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published August 20, 2019 | Submitted
Report Open

Hedgehogs are not colour blind

Abstract

We exhibit a family of 3-uniform hypergraphs with the property that their 2-colour Ramsey numbers grow polynomially in the number of vertices, while their 4-colour Ramsey numbers grow exponentially. This is the first example of a class of hypergraphs whose Ramsey numbers show a strong dependence on the number of colours.

Additional Information

Conlon research supported by a Royal Society University Research Fellowship. Fox research supported by a Packard Fellowship, by NSF Career Award DMS-1352121 and by an Alfred P. Sloan Fellowship. Rödl research partially supported by NSF grants DMS-1102086 and DMS-1301698.

Attached Files

Submitted - 1511.00563.pdf

Files

1511.00563.pdf
Files (123.4 kB)
Name Size Download all
md5:89cf2a5c4269e475f94969023bc85c33
123.4 kB Preview Download

Additional details

Created:
August 20, 2023
Modified:
October 18, 2023