English

Avoidable words

Combinatorics 2018-01-29 v2

Abstract

The set of all avoidable patterns in n or fewer letters can be avoided on an alphabet with 2(n+2) letters.

Keywords

Cite

@article{arxiv.1801.07458,
  title  = {Avoidable words},
  author = {Irina Melnichuk},
  journal= {arXiv preprint arXiv:1801.07458},
  year   = {2018}
}

Comments

In Russian. The proof of this theorem was discovered long ago, in this version it was sent to the journal in 1996, but it was not published. I thank D. McNulty, K.Adaricheva for finding me and advising me to publish this result