Xin Wei

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math.CO2025

The Hilton-Milner type results of $(k, ℓ)$ -sum-free sets in $F_{p}^{n}$

Xin Wei, Xiande Zhang, Gennian Ge

For a prime $p \equiv 2 (mod 3)$ , it is well known that the largest sum-free subsets of $F_{p}^{n}$ have size $\frac{p + 1}{3} p^{n - 1}$ , and the extremal sets must be a cuboid o…

math.CO2024

On set systems with strongly restricted intersections

Xin Wei, Xiande Zhang, Gennian Ge

Set systems with strongly restricted intersections, called $I^\pm$ -intersecting families for a vector $I^\pm$ , were introduced recently as a generalization of several well-studied inters…

The Hilton-Milner type results of (k,ℓ)-sum-free sets in Fpn​

On set systems with strongly restricted intersections

The Hilton-Milner type results of $(k, ℓ)$ -sum-free sets in $F_{p}^{n}$