Helly-type theorems for monotone properties of boxes
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913764408819712 |
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| author | Frankl, Nóra Jung, Attila |
| author_facet | Frankl, Nóra Jung, Attila |
| contents | We present a unified approach to prove Helly-type theorems for monotone properties of boxes, such as having large volume or containing points from a given set. As a corollary, we obtain new proofs for several earlier results regarding specific monotone properties. Our results generalise to $H$-convex sets as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22571 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Helly-type theorems for monotone properties of boxes Frankl, Nóra Jung, Attila Combinatorics 52A35 We present a unified approach to prove Helly-type theorems for monotone properties of boxes, such as having large volume or containing points from a given set. As a corollary, we obtain new proofs for several earlier results regarding specific monotone properties. Our results generalise to $H$-convex sets as well. |
| title | Helly-type theorems for monotone properties of boxes |
| topic | Combinatorics 52A35 |
| url | https://arxiv.org/abs/2503.22571 |