Hengrui Liu

activity

20242026

collaborators

4 papers

math.CO2026

Kneserized Anticoncentration and Reverse Absorption for Graham's Rearrangement Conjecture

Simone Costa, Stefano Della Fiore, Tao Feng +1

We establish a Kneser-based anticoncentration estimate for uniform subset sums in composite cyclic groups. The estimate contains a periodic loss and is weaker than its prime-modulu…

math.CO2026

Fractional clique decompositions of dense balanced multipartite graphs

Tao Feng, Hengrui Liu, Shikang Yu

This paper concerns fractional $K_{s}$ -decompositions of multipartite graphs. For integers $r \geq s \geq 3$ , we consider balanced $r$ -partite graphs $G$ on $r n$ vertices. We establish n…

math.CO2025

Perfect difference families, perfect systems of difference sets and their applications

Hengrui Liu, Tao Feng, Xiaomiao Wang +1

Let $v$ be a positive odd integer. A $(v, k, I^»)$ -perfect difference family (PDF) is a collection $F$ of $k$ -subsets of ${0, 1, \dots, v - 1}$ such that the multiset $\bigcup…

math.CO2024

Existence of magic rectangle sets over finite abelian groups

Shikang Yu, Tao Feng, Hengrui Liu

Let $a$ , $b$ and $c$ be positive integers. Let $(G, +)$ be a finite abelian group of order $ab c$ . A $G$ -magic rectangle set MRS $_{G} (a, b; c)$ is a collection of $c$ arrays of size $a\t…