On the size of set systems on \([n]\) not containing weak \((r,\Delta)\)-systems
The paper proves an improved lower bound to the maximum size of set systems without \(r\)-element weak \(\Delta\)-systems on the \(n\)-element underlying set, namely this maximum size is \(\geq 2^{(1/3)n^{1/5}\log^{4/5}(r-1)}\). The proof is constructive.
scientific article; zbMATH DE number 1076999