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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.24732 |
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| _version_ | 1866910252320948224 |
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| author | Bolognini, Davide Sentinelli, Paolo |
| author_facet | Bolognini, Davide Sentinelli, Paolo |
| contents | We disprove a long-standing open conjecture due to Simon stating that all skeleta of simplices are extendably shellable. In particular, for every $d \geq 3$ we provide a pure $d$-dimensional shellable simplicial complex which is not shelling completable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_24732 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-extendably shellable skeleta of simplices Bolognini, Davide Sentinelli, Paolo Combinatorics We disprove a long-standing open conjecture due to Simon stating that all skeleta of simplices are extendably shellable. In particular, for every $d \geq 3$ we provide a pure $d$-dimensional shellable simplicial complex which is not shelling completable. |
| title | Non-extendably shellable skeleta of simplices |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2605.24732 |