Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2212.13609 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913066204004352 |
|---|---|
| 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 |