ECO-generation for some restricted classes of compositions

Abstract

We study several restricted classes of compositions by giving one-to-one maps between them and different classes of restricted binary strings or pattern avoiding permutations. Inspired by the ECO method \cite{BDPP99}, new succession rules for these classes are presented. Finally, we obtain generating algorithms in Constant Amortized Time (CAT) for theses classes.

Keywords

• Composition of an integer
• ECO method
• succession rule
• generating tree
• pattern avoiding permutation