Author

Yu-Rui Tang

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Preprint Aug 2026

On the large-clique version of the Erd\H{o}s-S\'os theorem

For graphs $H$ and $F$, let $\operatorname{ex}(n,H,F)$ denote the maximum number of copies of $H$ in an $F$-free graph of order $n$. Motivated by the Erd\H{o}s-S\'{o}s theorem, Gerbner and Palmer and, independently, Zhao and Peng conjectured that for every tree $T$ of order $k$ and every $3\le r\le k-1,$ $$\operatornam...

Kun Cheng, Yu-Rui Tang · 0 citations

Preprint Aug 2026

On the large-clique version of the Erd\H{o}s-S\'os conjecture

For graphs $H$ and $F$, let $\operatorname{ex}(n,H,F)$ denote the maximum number of copies of $H$ in an $F$-free graph of order $n$. Motivated by the Erd\H{o}s-S\'{o}s conjecture, Gerbner and Palmer and, independently, Zhao and Peng conjectured that for every tree $T$ of order $k$ and every $3\le r\le k-1$, $$\operator...

Kun Cheng, Yu-Rui Tang · 0 citations