论文标题
极端$ t $ - 直接产品的家庭
Extremal $t$-intersecting families for direct products
论文作者
论文摘要
在本文中，通过转移技术，我们研究了$ t $ iSTERTICTICE，用于直接产品的家族，其中地面套件分为几个部分。假设每个部分的大小足够大，我们确定所有用于直接产品的极端$ t $更换家庭。我们还证明，在某些条件下，卡托纳（Katona）引入的更普通家庭的每个最大的$ t $ tostertict toctertictions tocretiction thumed of trivial。
In this paper, by shifting technique we study $t$-intersecting families for direct products where the ground set is divided into several parts. Assuming the size of each part is sufficiently large, we determine all extremal $t$-intersecting families for direct products. We also prove that every largest $t$-intersecting subfamily of a more general family introduced by Katona is trivial under certain conditions.
