Every Poset has a Large Cut
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909691293990912 |
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| author | Linial, Nati Shoshani, Ori |
| author_facet | Linial, Nati Shoshani, Ori |
| contents | We prove that every finite poset has a directed cut with at least one half of the poset's pairwise order relations. The bound is tight. Also, the largest directed cut in a poset can be found in linear time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12077 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Every Poset has a Large Cut Linial, Nati Shoshani, Ori Combinatorics Discrete Mathematics We prove that every finite poset has a directed cut with at least one half of the poset's pairwise order relations. The bound is tight. Also, the largest directed cut in a poset can be found in linear time. |
| title | Every Poset has a Large Cut |
| topic | Combinatorics Discrete Mathematics |
| url | https://arxiv.org/abs/2507.12077 |