Smaller universal posets
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911174089506816 |
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| author | Bastide, Paul Groenland, Carla Nenadov, Rajko |
| author_facet | Bastide, Paul Groenland, Carla Nenadov, Rajko |
| contents | We show that there is a constant $C>0$ such that for each integer $n\geq 1$, there is a poset on at most $2^{2n/3+C\sqrt{n}}$ elements that contains each $n$-element poset as an (induced) subposet. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_17820 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Smaller universal posets Bastide, Paul Groenland, Carla Nenadov, Rajko Combinatorics We show that there is a constant $C>0$ such that for each integer $n\geq 1$, there is a poset on at most $2^{2n/3+C\sqrt{n}}$ elements that contains each $n$-element poset as an (induced) subposet. |
| title | Smaller universal posets |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2509.17820 |