K. Zhao

activity

20182020

most citedOn the Existence of Perfect Splitter Sets

1 citations · 1 across the 2 of their papers we have counts for

collaborators

6 papers

math.CO2020

$1$ -product problems with congruence conditions in nonabelian groups

Kevin Zhao

Let $G$ be a finite group and $D_{2 n}$ be the dihedral group of $2 n$ elements. For a positive integer $d$ , let $s_{d N} (G)$ denote the smallest integer $\ell\in \m…

math.CO2020

The coset factorization of finite cyclic group

Kevin Zhao

Let $G$ be a finite cyclic group, written additively, and let $A, B$ be nonempty subsets of $G$ . We will say that $G = A + B$ is a \textit{factorization} if for each $g$ in $G$ there…

math.CO2020

The complete splittings of finite abelian groups

Kevin Zhao

Let $G$ be a finite group. We will say that $M$ and $S$ form a \textsl{complete splitting} (\textsl{splitting}) of $G$ if every element (nonzero element) $g$ of $G$ has a unique re…

math.NT2020

Purely singular splittings of cyclic groups

Pingzhi Yuan, Kevin Zhao

Let $G$ be a finite abelian group. We say that $M$ and $S$ form a \textsl{splitting} of $G$ if every nonzero element $g$ of $G$ has a unique representation of the form $g = m s$ with…

cs.IT2019★ 1 cited

On the Existence of Perfect Splitter Sets

Pingzhi Yuan, Kevin Zhao

Given integers $k_{1}, k_{2}$ with $0 \leq k_{1} < k_{2}$ , the determinations of all positive integers $q$ for which there exists a perfect Splitter $B [- k_{1}, k_{2}] (q)$ set is a wide open questi…

math.CO2018

The Harborth Constant of Dihedral Groups

Niranjan Balachandran, Eshita Mazumdar, Kevin Zhao

The Harborth constant of a finite group $G$ , denoted $\gs(G)$, is the smallest integer $k$ such that the following holds: For $A \subseteq G$ with $∣ A ∣ = k$ , there exists $B\subseteq…

1-product problems with congruence conditions in nonabelian groups

The coset factorization of finite cyclic group

The complete splittings of finite abelian groups

Purely singular splittings of cyclic groups

On the Existence of Perfect Splitter Sets

The Harborth Constant of Dihedral Groups

$1$ -product problems with congruence conditions in nonabelian groups