English

A trace partitioned Gray code for q-ary generalized Fibonacci strings

Combinatorics 2013-08-19 v1

Abstract

We provide a trace partitioned Gray code for the set of q-ary strings avoiding a pattern constituted by k consecutive equal symbols. The definition of this Gray code is based on two different constructions, according to the parity of q. This result generalizes, and is based on, a Gray code for binary strings avoiding k consecutive 0's.

Cite

@article{arxiv.1308.3619,
  title  = {A trace partitioned Gray code for q-ary generalized Fibonacci strings},
  author = {Antonio Bernini and Stefano Bilotta and Renzo Pinzani and Vincent Vajnovszki},
  journal= {arXiv preprint arXiv:1308.3619},
  year   = {2013}
}
R2 v1 2026-06-22T01:10:25.540Z