An Improved Error Term for Tur$\acute{\mathrm{a}}$n Number of Expanded Non-degenerate 2-graphs

Yucong Tang, Xin Xu, Guiying Yan

For a 2-graph $F$, let $H_F^{(r)}$ be the $r$-graph obtained from $F$ by enlarging each edge with a new set of $r-2$ vertices. We show that if $\chi (F)=\ell >r\ge 2$, then $ {\rm ex}…