English

Generation of binary words avoiding alternating patterns

Discrete Mathematics 2012-10-30 v1 Combinatorics

Abstract

In this paper we propose an algorithm to generate binary words with no more 0's than 1's having a fixed number of 1's and avoiding the pattern (10)j1(10)^j1 for any fixed j1j \geq 1. We will prove that this generation is exhaustive, that is, all such binary words are generated.

Cite

@article{arxiv.1210.7620,
  title  = {Generation of binary words avoiding alternating patterns},
  author = {Stefano Bilotta and Elisabetta Grazzini and Elisa Pergola and Renzo Pinzani},
  journal= {arXiv preprint arXiv:1210.7620},
  year   = {2012}
}

Comments

15 pages with figures

R2 v1 2026-06-21T22:29:15.693Z