4 papers
math.CO2013
On Double 3-Term Arithmetic Progressions
Tom Brown, Veselin Jungić, Andrew Poelstra
In this note we are interested in the problem of whether or not every increasing sequence of positive integers with bounded gaps must contain a double 3-term arithme…
math.CO2011
Approximations of additive squares in infinite words
Tom Brown
We show that every infinite word on a finite subset of must contain arbitrarily large factors which are "close" to being \textit{additive squares}. We als…
math.CO2011
On abelian and additive complexity in infinite words
Hayri Ardal, Tom Brown, Veselin Jungić +1
The study of the structure of infinite words having bounded abelian complexity was initiated by G. Richomme, K. Saari, and L. Q. Zamboni. In this note we define bounded additive co…
math.CO2007
Bounds on Van der Waerden Numbers and Some Related Functions
Tom Brown, Bruce M. Landman, Aaron Robertson
For positive integers and , let be the minimum integer such that any -coloring admits a -…