تقرير
Caps and Wickets
| العنوان: | Caps and Wickets |
|---|---|
| المؤلفون: | Führer, Jakob, Solymosi, Jozsef |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics |
| الوصف: | Let $H_n^{(3)}$ be a 3-uniform linear hypergraph, i.e. any two edges have at most one vertex common. A special hypergraph, {\em wicket}, is formed by three rows and two columns of a $3 \times 3$ point matrix. In this note, we give a new lower bound on the Tur\'an number of wickets using estimates on cap sets. We also show that this problem is closely connected to important questions in additive combinatorics. Comment: An updated version, correcting a gap in the previous version |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.00923 |
| رقم الأكسشن: | edsarx.2405.00923 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |