Dein Wong

activity

20232026

collaborators

Showing 2025Show all

7 papers · 1 filter

math.GR2025

On automorphism groups of power semigroups over numerical semigroups or over numerical monoids

Dein Wong, Songnian Xu, Chi Zhang +1

A numerical semigroup $S$ is a cofinite subsemigroup of $N$ , where $N$ is the additive monoid of non-negative integers. Denote by $P_{fin} (S)$ the…

math.GR2025

$m$ -partite oriented semiregular representation of valency 3 for finite groups

Songnian Xu, Dein Wong, Wenhao Zhen

Let $G$ be a finite group and $m \geq 2$ a positive integer. We say that $G$ admits an \emph{oriented $m$ -semiregular representation} (abbreviated as OmSR) if there exists a $m$ -Ca…

math.GR2025

On oriented $m$ -semiregular representations of finite groups about valency three

Songnian Xu, Dein Wong, Chi Zhang +1

Let $G$ be a group and $m$ a positive integer. We say an $m$ -Cayley digraph $Γ$ over $G$ is a digraph that admits a group of automorphisms isomorphic to $G$ acting semiregularly on…

math.CO2025

On the multiplicity of 1 as a Laplacian eigenvalue of a graph

Fenglei Tian, Dein Wong

Let $G$ be a graph with $p (G)$ pendant vertices and $q (G)$ quasi-pendant vertices. Denote by $m_{L (G)} (λ)$ the multiplicity of $λ$ as a Laplacian eigenvalue of $G$ . Let $\overline{…

math.CO2025

Laplacian eigenvalue distribution and girth of graphs

Wenhao Zhen, Dein Wong, Songnian Xu

Let $G$ be a connected graph on $n$ vertices with girth $g$ . Let $m_{G} I$ denote the number of Laplacian eigenvalues of graph $G$ in an interval $I$ . In this paper, we show that if $…

math.GR2025

The $m$ -partite digraphical representations of valency 3 of finite groups generated by two elements

Songnian Xu, Dein Wong, Chi Zhang +1

Let $G$ be a finite group and $m$ be an integer. We employ the notation $g_{i}$ to represent elements $(g, i)$ in the Cartesian product $G \times Z_{m}$ , where $Z_{m}$ d…

math.GR2025

Finite groups admitting a regular tournament $m$ -semiregular representation

Dein Wong, Songnian Xu, Chi Zhang +1

For a positive integer $m$ , a finite group $G$ is said to admit a tournament $m$ -semiregular representation (TmSR for short) if there exists a tournament $Γ$ such that the automorp…

On automorphism groups of power semigroups over numerical semigroups or over numerical monoids

m-partite oriented semiregular representation of valency 3 for finite groups

On oriented m-semiregular representations of finite groups about valency three

On the multiplicity of 1 as a Laplacian eigenvalue of a graph

Laplacian eigenvalue distribution and girth of graphs

The m-partite digraphical representations of valency 3 of finite groups generated by two elements

Finite groups admitting a regular tournament m-semiregular representation

$m$ -partite oriented semiregular representation of valency 3 for finite groups

On oriented $m$ -semiregular representations of finite groups about valency three

The $m$ -partite digraphical representations of valency 3 of finite groups generated by two elements

Finite groups admitting a regular tournament $m$ -semiregular representation