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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.02765 |
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| _version_ | 1866909304820334592 |
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| author | Ma, Jie |
| author_facet | Ma, Jie |
| contents | Piga, Sanhueza-Matamala, and Schacht recently established that the codegree Turán density of 3-uniform tight cycles $C_\ell$ is $1/3$ for $\ell\in \{10, 13, 16\}$ and for all $\ell\geq 19$. In this note, we extend their proof to determine the codegree Turán density of the 3-uniform tight cycle $C_{11}$, thereby completing the picture for tight cycles of length at least 10. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02765 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On codegree Turán density of the 3-uniform tight cycle $C_{11}$ Ma, Jie Combinatorics Piga, Sanhueza-Matamala, and Schacht recently established that the codegree Turán density of 3-uniform tight cycles $C_\ell$ is $1/3$ for $\ell\in \{10, 13, 16\}$ and for all $\ell\geq 19$. In this note, we extend their proof to determine the codegree Turán density of the 3-uniform tight cycle $C_{11}$, thereby completing the picture for tight cycles of length at least 10. |
| title | On codegree Turán density of the 3-uniform tight cycle $C_{11}$ |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2409.02765 |