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math.GR2026
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.GR2026
The diameter and dominating sets of the difference graph of a nilpotent group
Xuanlong Ma, Samir ZahiroviÄ, Katarina ŽigeroviÄ
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
Forbidden subgraphs on conjugacy class graphs of groups
Papi Ray, Sonakshee Arora, Xuanlong Ma
Let be a finite group. The commuting (resp. nilpotent) conjugacy class graph (resp. ) of is a simple graph whose vertex set consists of all non-c…