Trapezoidal words

Characteristic Parameters and Special Trapezoidal Words

Following earlier work by Aldo de Luca and others, we study trapezoidal words and their prefixes, with respect to their characteristic parameters K and R (length of shortest unrepeated suffix, and shortest length without right special factors, …

Characteristic Parameters and Special Trapezoidal Words

Following earlier work by Aldo de Luca and others, we study trapezoidal words and their prefixes, with respect to their characteristic parameters K and R (length of shortest unrepeated suffix, and shortest length without right special factors, …

Enumeration and structure of trapezoidal words

Trapezoidal words are words having at most $n+1$ distinct factors of length $n$ for every $n\ge 0$. They therefore encompass finite Sturmian words. We give combinatorial characterizations of trapezoidal words and exhibit a formula for their …