论文标题
关于Berge的最大尺寸 - $ C_4 $ - 免费超图的注释
A note on maximum size of Berge-$C_4$-free hypergraphs
论文作者
论文摘要
在本文中,我们考虑了没有berge $ 4 $ cycle的超图的高音的红衣主教的最大值。我们显着改善了Gerbner和Palmer提供的前上限。此外,我们提供了一种稍微改善先前下限的结构。
In this paper, we consider maximum possible value for the sum of cardinalities of hyperedges of a hypergraph without a Berge $4$-cycle. We significantly improve the previous upper bound provided by Gerbner and Palmer. Furthermore, we provide a construction that slightly improves the previous lower bound.