On codegree Turán density of the 3-uniform tight cycle $C_{11}$

Abstract

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 $\ell \ge 19$. 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.

3 pages