3 papers
math.GR2026
The diameter and dominating sets of the difference graph of a nilpotent group
Xuanlong Ma, Samir Zahirović, Katarina Žigerović
Given a finite group , the difference graph of , denoted by , is the difference of the enhanced power graph of and the power graph of , with all isolat…
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 with identity and a normal subgroup of , the subgroup sum graph (resp. extended subgroup sum graph ) of with respect to…