English

Two Reflected Gray Code based orders on some restricted growth sequences

Combinatorics 2013-06-25 v1

Abstract

We consider two order relations: that induced by the m-ary reflected Gray code and a suffix partitioned variation of it. We show that both of them when applied to some sets of restricted growth sequences still yield Gray codes. These sets of sequences are: subexcedant or ascent sequences, restricted growth functions, and staircase words. In each case we give efficient exhaustive generating algorithms and compare the obtained results.

Keywords

Cite

@article{arxiv.1306.5464,
  title  = {Two Reflected Gray Code based orders on some restricted growth sequences},
  author = {Ahmad Sabri and Vincent Vajnovszki},
  journal= {arXiv preprint arXiv:1306.5464},
  year   = {2013}
}
R2 v1 2026-06-22T00:38:52.669Z