English

On abelian and additive complexity in infinite words

Combinatorics 2011-07-26 v1

Abstract

The study of the structure of infinite words having bounded abelian complexity was initiated by G. Richomme, K. Saari, and L. Q. Zamboni. In this note we define bounded additive complexity for infinite words over a finite subset of Z^m. We provide an alternative proof of one of the results of Richomme, Saari, and Zamboni.

Keywords

Cite

@article{arxiv.1107.4654,
  title  = {On abelian and additive complexity in infinite words},
  author = {Hayri Ardal and Tom Brown and Veselin Jungić and Julian Sahasrabudhe},
  journal= {arXiv preprint arXiv:1107.4654},
  year   = {2011}
}
R2 v1 2026-06-21T18:40:54.144Z