The Sunflower Conjecture Proven
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2022
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| Sujets: | |
| Accès en ligne: | |
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| _version_ | 1866913066204004352 |
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| author | Fukuyama, Junichiro |
| author_facet | Fukuyama, Junichiro |
| contents | We demonstrate the truth of the sunflower conjecture by showing that a family $\mathcal{F}$ of sets each of cardinality at most $m$ includes a $k$-sunflower, if $|\mathcal{F}| > ( c k )^{2m}$ for a constant $c>0$ independent of $m$ and $k$, where $k$-sunflower means a family of $k$ different sets with a common pairwise intersection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_13609 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Sunflower Conjecture Proven Fukuyama, Junichiro Combinatorics We demonstrate the truth of the sunflower conjecture by showing that a family $\mathcal{F}$ of sets each of cardinality at most $m$ includes a $k$-sunflower, if $|\mathcal{F}| > ( c k )^{2m}$ for a constant $c>0$ independent of $m$ and $k$, where $k$-sunflower means a family of $k$ different sets with a common pairwise intersection. |
| title | The Sunflower Conjecture Proven |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2212.13609 |