English

Cross-bifix-free sets via Motzkin paths generation

Combinatorics 2014-10-20 v1

Abstract

Cross-bifix-free sets are sets of words such that no prefix of any word is a sufix of any other word. In this paper, we introduce a general constructive method for the sets of cross-bifix-free q-ary words of fixed length. It enables us to determine a cross-bifix-free words subset which has the property to be non-expandable.

Keywords

Cite

@article{arxiv.1410.4710,
  title  = {Cross-bifix-free sets via Motzkin paths generation},
  author = {Elena Barcucci and Stefano Bilotta and Elisa Pergola and Renzo Pinzani and Jonathan Succi},
  journal= {arXiv preprint arXiv:1410.4710},
  year   = {2014}
}
R2 v1 2026-06-22T06:27:10.754Z