Author

Jiabao Yang

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Preprint Oct 2026

Tur\'an densities of hypergraph augmentations

For a $t$-graph $F$ and an integer $r\ge t$, the \emph{$r$-augmentation} $F(r)$ is the $r$-graph obtained by adding the same set of $r-t$ new vertices to every edge of $F$. We investigate the behaviour of the \emph{Tur\'an density $\pi(F(r))$}, which is the asymptotically maximum edge density of a large $F(r)$-free $r$...

Oleg Pikhurko, Jia-Bao Yang, Xiu-Tao Zhu · 0 citations

Preprint Aug 2026

Clique-saturating non-edges throughout the Tur\'an range

For an $F$-free graph $G$, a non-edge is $F$-saturating if adding it to $G$ creates a copy of $F$. We denote by $f_{p+1}(n,m)$ the minimum number of $K_{p+1}$-saturating non-edges in a $K_{p+1}$-free $n$-vertex graph with $m$ edges. Erd\H{o}s and Tuza conjectured that $f_4\left(n,\mathrm{ex}(n,K_3)+ 1\right)= (1 + o(1)...

Xiao-Lin Wang, Jia-Bao Yang, Rui-Lin Zheng · 0 citations