Enumeration formul{\ae} in neutral sets
Discrete Mathematics
2015-03-23 v1 Combinatorics
Abstract
We present several enumeration results holding in sets of words called neutral and which satisfy restrictive conditions on the set of possible extensions of nonempty words. These formulae concern return words and bifix codes. They generalize formulae previously known for Sturmian sets or more generally for tree sets. We also give a geometric example of this class of sets, namely the natural coding of some interval exchange transformations.
Cite
@article{arxiv.1503.06081,
title = {Enumeration formul{\ae} in neutral sets},
author = {Francesco Dolce and Dominique Perrin},
journal= {arXiv preprint arXiv:1503.06081},
year = {2015}
}