We study the growth of finitely presented two-generator monomial algebras. In particular, we seek to improve an upper bound found by the last author. Our search lead us to a connection to de Bruijn graphs and a drastically improved bound.
"Growth functions of finitely generated algebras." Involve 8 (1) 71 - 74, 2015. https://doi.org/10.2140/involve.2015.8.71