تقرير
The codegree Tur\'an density of tight cycles minus one edge
العنوان: | The codegree Tur\'an density of tight cycles minus one edge |
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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 |
الوصف غير متاح. |