2 papers
math.CO2013
A Coloring Problem for Sturmian and Episturmian Words
Aldo de Luca, Elena V. Pribavkina, Luca Q. Zamboni
We consider the following open question in the spirit of Ramsey theory: Given an aperiodic infinite word , does there exist a finite coloring of its factors such that no factori…
cs.DM2012
Some extremal properties of the Fibonacci word
Aldo de Luca
We prove that the Fibonacci word satisfies among all characteristic Sturmian words, three interesting extremal properties. The first concerns the length and the second the mini…