English

The Frobenius problem for the shuffle operation

Formal Languages and Automata Theory 2016-08-31 v1

Abstract

We characterize the finite sets S of words such that that the iterated shuffle of S is co-finite and we give some bounds on the length of a longest word not in the iterated shuffle of S.

Cite

@article{arxiv.1608.08592,
  title  = {The Frobenius problem for the shuffle operation},
  author = {Jeremy Nicholson and Narad Rampersad},
  journal= {arXiv preprint arXiv:1608.08592},
  year   = {2016}
}

Comments

16 pages

R2 v1 2026-06-22T15:35:42.737Z