English

Characterization of circular D0L systems

Combinatorics 2014-01-03 v1

Abstract

We prove that every non-circular D0L system contains arbitrarily long repetitions. This result was already published in 1993 by Mignosi and S\'e\'ebold, however their proof is only a sketch. We give here a complete proof. Further, employing our previous result, we give a simple algorithm to test circularity of an injective D0L system.

Keywords

Cite

@article{arxiv.1401.0038,
  title  = {Characterization of circular D0L systems},
  author = {Karel Klouda and Štěpán Starosta},
  journal= {arXiv preprint arXiv:1401.0038},
  year   = {2014}
}

Comments

10 pages, 4 figures

R2 v1 2026-06-22T02:37:20.495Z