Further results on staircase (cyclic) words
Combinatorics
2025-01-22 v1
Abstract
We find the two-variables generating function for the statistic which counts the number of variations in a word bounded by . Thus, we refine and extend previous results concerning staircase words, which are words in which the variation between all consecutive letters is bounded by . We obtain the analogue results for cyclic words.
Cite
@article{arxiv.2501.11991,
title = {Further results on staircase (cyclic) words},
author = {Sela Fried},
journal= {arXiv preprint arXiv:2501.11991},
year = {2025}
}
Comments
17 pages