Author

Xi-Ying Yuan

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Review Aug 2026

Counterexamples to a treewidth conjecture on generalized Tur\'an problems

Given graphs $H$ and $F$, the generalized Tur\'{a}n number ${\rm ex}(n,H,F)$ is the maximum number of copies of $H$ in an $n$-vertex $F$-free graph. Alon and Shikhelman (J. Combin. Theory Ser. B, 2016) initiated the systematic study of generalized Tur\'{a}n problems. Recently, Gao, Wu and Xue (J. Graph Theory, 2026) as...

Junpeng Zhou, Xi-Ying Yuan · 0 citations

Preprint Jul 2026

A Spectral Confirmation of the Erd\H{o}s Matching Conjecture

The Erd\H{o}s Matching Conjecture concerns the maximum number of hyperedges in an $r$-uniform hypergraph with bounded matching number. In this paper, we study a spectral counterpart of this conjecture. For sufficiently large $n$, we determine the maximum spectral radius over all $n$-vertex $r$-uniform hypergraphs whose...

Liying Kang, Yongchun Lu, Xiying Yuan et al. · 2 citations

Preprint Jul 2026

Counting large cliques in graphs with a forbidden tree

Given graphs $H$ and $F$, the generalized Tur\'{a}n number ${\rm ex}(n,H,F)$ is the maximum number of copies of $H$ in an $n$-vertex $F$-free graph. Alon and Shikhelman (J. Combin. Theory Ser. B, 2016) initiated the systematic study of generalized Tur\'{a}n problems. Let $T$ be a tree on $k$ vertices, and write $n=a(k-...

Junpeng Zhou, Xi-Ying Yuan · 1 citation · ⚡1