The codegree Tur\'an density of tight cycles minus one edge

التفاصيل البيبلوغرافية
العنوان: The codegree Tur\'an density of tight cycles minus one edge
المؤلفون: Piga, Simón, Sales, Marcelo, Schülke, Bjarne
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, 05D99, 05C65
الوصف: Given $\alpha>0$ and an integer $\ell\geq5$, we prove that every sufficiently large $3$-uniform hypergraph $H$ on $n$ vertices in which every two vertices are contained in at least $\alpha n$ edges contains a copy of $C_\ell^{-}$, a tight cycle on $\ell$ vertices minus one edge. This improves a previous result by Balogh, Clemen, and Lidick\'y.
Comment: 6 pages, 1 figure
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2211.12721
رقم الأكسشن: edsarx.2211.12721
قاعدة البيانات: arXiv