Gennian Ge

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20232026

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4 papers · 1 filter

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 $α$ -intersecting families for a vector $α$ , were introduced recently as a generalization of several well-studied intersec…

math.CO2023

Separating hash families with large universe

Xin Wei, Xiande Zhang, Gennian Ge

Separating hash families are useful combinatorial structures which generalize several well-studied objects in cryptography and coding theory. Let $p_{t} (N, q)$ denote the maximum siz…

math.CO2023

Swap-Robust and Almost Supermagic Complete Graphs for Dynamical Distributed Storage

Xin Wei, Xiande Zhang, Gennian Ge

To prevent service time bottlenecks in distributed storage systems, the access balancing problem has been studied by designing almost supermagic edge labelings of certain graphs to…

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

On set systems with strongly restricted intersections

Separating hash families with large universe

Swap-Robust and Almost Supermagic Complete Graphs for Dynamical Distributed Storage

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