Yi Xu

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math.CO2026

Tensor Spectral Stability for Uniform Hypergraphs with Bounded Matching Number

Yi Xu, Yi-Zheng Fan

We establish a tensor spectral stability theorem for uniform hypergraphs with bounded matching number. More precisely, for fixed integers $k \geq 3$ and $I^^{2} \geq 2$ , and sufficiently…

math.CO2026

Generalized spectral TurÃ¡n problems for disjoint cliques

Yi Xu, Yi-Zheng Fan

The generalized TurÃ¡n number $ex (n, H, F)$ denotes the maximum number of copies of $H$ in an $n$ -vertex $F$ -free graph. Let $k K_{r + 1}$ be the disjoint union of $k$ copies o…