Yushuang Fan

activity

20102023

most citedPower monoids: A bridge between Factorization Theory and Arithmetic Combinatorics

56 citations · 85 across the 10 of their papers we have counts for

collaborators

10 papers

math.CO2023

Perfect codes in 2-valent Cayley digraphs on abelian groups

Shilong Yu, Yuefeng Yang, Yushuang Fan +1

For a digraph $Γ$ , a subset $C$ of $V (Γ)$ is a perfect code if $C$ is a dominating set such that every vertex of $Γ$ is dominated by exactly one vertex in $C$ . In this paper, we cl…

math.CO2021

Weakly distance-regular digraphs of one type of arcs

Yushuang Fan, Zhiqi Wang, Yuefeng Yang

In this paper, we classify all commutative weakly distance-regular digraphs of girth $g$ and one type of arcs under the assumption that $p_{(1,g-1),(1,g-1)}^{(2,g-2)}\geq k_{1,g-1}…

math.NT2017★ 56 cited

Power monoids: A bridge between Factorization Theory and Arithmetic Combinatorics

Yushuang Fan, Salvatore Tringali

We extend a few fundamental aspects of the classical theory of non-unique factorization, as presented in Geroldinger and Halter-Koch's 2006 monograph on the subject, to a non-commu…

math.AC2016★ 21 cited

Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules

Yushuang Fan, Alfred Geroldinger, Florian Kainrath +1

Let $H$ be a commutative semigroup with unit element such that every non-unit can be written as a finite product of irreducible elements (atoms). For every $k \in N$ , let $…

math.AC2016★ 1 cited

Minimal relations and catenary degrees in Krull monoids

Yushuang Fan, Alfred Geroldinger

Let $H$ be a Krull monoid with class group $G$ . Then $H$ is factorial if and only if $G$ is trivial. Sets of lengths and sets of catenary degrees are well studied invariants descri…

math.AC2015★ 2 cited

Products of $k$ atoms in Krull monoids

Yushuang Fan, Qinghai Zhong

Let $H$ be a Krull monoid with finite class group $G$ such that every class contains a prime divisor. For $k \in N$ , let $U_{k} (H)$ denote the set of all $m\in \mathb…

math.CO2015★ 5 cited

On the Erd{ő}s-Ginzburg-Ziv constant of groups of the form $C_{2}^{r} \oplus C_{n}$

Yushuang Fan, Qinghai Zhong

Let $G$ be a finite abelian group. The Erd{ő}s-Ginzburg-Ziv constant $s (G)$ of $G$ is defined as the smallest integer $l \in N$ such that every sequence $S$ over $G…

math.NT2012

On the maximal multiplicity of long zero-sum free sequences over $C_{p} \oplus C_{p}$

Yushuang Fan, Linlin Wang, Qinghai Zhong

In this paper, we point out that the method used in [Acta Arith. 128(2007) 245-279] can be modified slightly to obtain the following result. Let $ε \in (0, \frac{1}{4})$ and…

math.NT2011

On short zero-sum subsequences of zero-sum sequences

Yushuang Fan, Weidong Gao, Guoqing Wang +2

Let $G$ be a finite abelian group, and let $η (G)$ be the smallest integer $d$ such that every sequence over $G$ of length at least $d$ contains a zero-sum subsequence $T$ with leng…

math.NT2010

On the Erd{\H o}s--Ginzburg--Ziv constant of finite abelian groups of high rank

Yushuang Fan, Weidong Gao, Qinghai Zhong

Let $G$ be a finite abelian group. The Erd{\H o}s--Ginzburg--Ziv constant $s (G)$ of $G$ is defined as the smallest integer $l \in N$ such that every sequence \ $S$ …