论文标题
近阳光和重点家庭
Near-sunflowers and focal families
论文作者
论文摘要
我们提出了一些有关套装家庭中向日葵变体的问题和结果。特别是，我们将第一作者和蒙蒂（Körner）和蒙蒂（Monti）的上限提高了长度$ n $的最大二进制向量，以便每四个将它们分为两对，由某些坐标分成两对。我们还提出了Erdős-Rado向日葵猜想的较弱版本。
We present some problems and results about variants of sunflowers in families of sets. In particular, we improve an upper bound of the first author, Körner and Monti on the maximum number of binary vectors of length $n$ so that every four of them are split into two pairs by some coordinate. We also propose a weaker version of the Erdős-Rado sunflower conjecture.
