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

Combinatorics 2024-09-05 v1

Abstract

Piga, Sanhueza-Matamala, and Schacht recently established that the codegree Tur\'an density of 3-uniform tight cycles CC_\ell is 1/31/3 for {10,13,16}\ell\in \{10, 13, 16\} and for all 19\ell\geq 19. In this note, we extend their proof to determine the codegree Tur\'an density of the 3-uniform tight cycle C11C_{11}, thereby completing the picture for tight cycles of length at least 10.

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Cite

@article{arxiv.2409.02765,
  title  = {On codegree Tur\'an density of the 3-uniform tight cycle $C_{11}$},
  author = {Jie Ma},
  journal= {arXiv preprint arXiv:2409.02765},
  year   = {2024}
}

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3 pages