On codegree Tur\'an density of the 3-uniform tight cycle $C_{11}$

Jie Ma

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On codegree Tur\'an density of the 3-uniform tight cycle C₁₁

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arxiv 2409.02765 v1 pith:T6KRRLC6 submitted 2024-09-04 math.CO

On codegree Tur\'an density of the 3-uniform tight cycle $C_{11}$

Jie Ma This is my paper

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abstract

Piga, Sanhueza-Matamala, and Schacht recently established that the codegree Tur\'an 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 Tur\'an density of the 3-uniform tight cycle $C_{11}$, thereby completing the picture for tight cycles of length at least 10.

On codegree Tur\'an density of the 3-uniform tight cycle $C_{11}$

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