Liangliang Zhai

activity

20202025

collaborators

3 papers

math.GR2025

On finite groups whose coprime graph is a divisor graph

Xuanlong Ma, Liangliang Zhai, Nan Gao +1

In this paper, we first characterize which generalized lexicographic products are divisor graphs. As applications, we show that power graphs, reduced power graphs and order graphs…

math.CO2024

(Total) Perfect codes in (extended) subgroup sum graphs

Xuanlong Ma, Yuefeng Yang, Liangliang Zhai

Given a finite group $G$ with identity $e$ and a normal subgroup $H$ of $G$ , the subgroup sum graph $Γ_{G, H}$ (resp. extended subgroup sum graph $Γ_{G, H}^{+}$ ) of $G$ with respect to…

math.CO2020

Strong metric dimensions for power graphs of finite groups

Xuanlong Ma, Liangliang Zhai

Let $G$ be a finite group. The order supergraph of $G$ is the graph with vertex set $G$ , and two distinct vertices $x, y$ are adjacent if $o (x) ∣ o (y)$ or $o (y) ∣ o (x)$ . The enh…