A quantitative improvement on the hypergraph Balog-Szemerédi-Gowers theorem
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917968266395648 |
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| author | Lee, Hyunwoo |
| author_facet | Lee, Hyunwoo |
| contents | In this note, we obtain a quantitative improvement on the hypergraph variant of the Balog-Szemerédi-Gowers theorem due to Sudakov, Szemerédi, and Vu [Duke Math. J.129.1 (2005): 129--155]. Additionally, we prove the hypergraph variant of the ``almost all'' version of Balog-Szemerédi-Gowers theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06131 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A quantitative improvement on the hypergraph Balog-Szemerédi-Gowers theorem Lee, Hyunwoo Combinatorics Number Theory In this note, we obtain a quantitative improvement on the hypergraph variant of the Balog-Szemerédi-Gowers theorem due to Sudakov, Szemerédi, and Vu [Duke Math. J.129.1 (2005): 129--155]. Additionally, we prove the hypergraph variant of the ``almost all'' version of Balog-Szemerédi-Gowers theorem. |
| title | A quantitative improvement on the hypergraph Balog-Szemerédi-Gowers theorem |
| topic | Combinatorics Number Theory |
| url | https://arxiv.org/abs/2501.06131 |