Hertzsprung patterns on involutions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918141788946432 |
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| author | Barnabei, Marilena Castronuovo, Niccolò Silimbani, Matteo |
| author_facet | Barnabei, Marilena Castronuovo, Niccolò Silimbani, Matteo |
| contents | Hertzsprung patterns, recently introduced by Anders Claesson, are subsequences of a permutation contiguous in both positions and values, and can be seen as a subclass of bivincular patterns.
This paper investigates Hertzsprung patterns within involutions, where additional structural constraints introduce new challenges. We present a general formula for enumerating occurrences of these patterns in involutions.
We also analyze specific cases to derive the distribution of all Hertzsprung patterns of lengths two and three. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03449 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hertzsprung patterns on involutions Barnabei, Marilena Castronuovo, Niccolò Silimbani, Matteo Combinatorics 05A05 Hertzsprung patterns, recently introduced by Anders Claesson, are subsequences of a permutation contiguous in both positions and values, and can be seen as a subclass of bivincular patterns. This paper investigates Hertzsprung patterns within involutions, where additional structural constraints introduce new challenges. We present a general formula for enumerating occurrences of these patterns in involutions. We also analyze specific cases to derive the distribution of all Hertzsprung patterns of lengths two and three. |
| title | Hertzsprung patterns on involutions |
| topic | Combinatorics 05A05 |
| url | https://arxiv.org/abs/2412.03449 |