An assortment of problems in permutation patterns: unimodality, equivalence, derangements, and sorting
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866915817367535616 |
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| author | Vatter, Vincent |
| author_facet | Vatter, Vincent |
| contents | We collect open problems in permutation patterns on four themes: rank-unimodality in the permutation pattern poset, Wilf-equivalence and shape-Wilf-equivalence, the enumeration of derangements in permutation classes, and sorting by stacks in series, generalized stacks, and restricted containers (C-machines). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_16355 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An assortment of problems in permutation patterns: unimodality, equivalence, derangements, and sorting Vatter, Vincent Combinatorics We collect open problems in permutation patterns on four themes: rank-unimodality in the permutation pattern poset, Wilf-equivalence and shape-Wilf-equivalence, the enumeration of derangements in permutation classes, and sorting by stacks in series, generalized stacks, and restricted containers (C-machines). |
| title | An assortment of problems in permutation patterns: unimodality, equivalence, derangements, and sorting |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2602.16355 |