Further results on staircase (cyclic) words
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866929683277283328 |
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| author | Fried, Sela |
| author_facet | Fried, Sela |
| contents | We find the two-variables generating function for the statistic which counts the number of variations in a word bounded by $1$. Thus, we refine and extend previous results concerning staircase words, which are words in which the variation between all consecutive letters is bounded by $1$. We obtain the analogue results for cyclic words. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11991 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Further results on staircase (cyclic) words Fried, Sela Combinatorics We find the two-variables generating function for the statistic which counts the number of variations in a word bounded by $1$. Thus, we refine and extend previous results concerning staircase words, which are words in which the variation between all consecutive letters is bounded by $1$. We obtain the analogue results for cyclic words. |
| title | Further results on staircase (cyclic) words |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2501.11991 |