Sciweavers

JCT
2000

Unordered Canonical Ramsey Numbers

13 years 10 months ago
Unordered Canonical Ramsey Numbers
Following ideas of Richer (2000) we introduce the notion of unordered regressive Ramsey numbers or unordered Kanamori-McAloon numbers. We show that these are of Ackermannian growth rate. For a given numbertheoretic function f we consider unordered f-regressive Ramsey numbers and classify exactly the threshold for f which gives rise to the Ackermannian growth rate of the induced f-regressive Ramsey numbers. This threshold coincides with the corresponding threshold for the standard regressive Ramsey numbers. Our proof is based on an extension of an argumtent from a corresponding proof in a paper by Kojman,Lee,Omri and Weiermann 2007.
Duncan C. Richer
Added 19 Dec 2010
Updated 19 Dec 2010
Type Journal
Year 2000
Where JCT
Authors Duncan C. Richer
Comments (0)