2 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.CO2024
Difference graphs of finite abelian groups with two Sylow subgroups
Ivica Bošnjak, Rozália Madarász, Samir Zahirović
The power graph and the enhanced power graph of a group are simple graphs with vertex set ; two elements of are adjacent in the power graph if one of them is a p…