Samir Zahirovi'c

activity

20182022

collaborators

4 papers

math.GR2022

Power graphs of all nilpotent groups

Sayyed Heidar Jafari, Samir Zahirović

The directed power graph $G (G)$ of a group $G$ is the simple digraph with vertex set $G$ such that $x \to y$ if $y$ is a power of $x$ . The pow…

math.GR2020

The Power Graph of a Torsion-Free Group Determines the Directed Power Graph

Samir Zahirović

The directed power graph $G (G)$ of a group $G$ is the simple digraph with vertex set $G$ such that $x \to y$ if $y$ is a power of $x$ . The pow…

math.GR2019

The Power Graph of a Torsion-Free Group of Nilpotency Class $2$

Samir Zahirović

The directed power graph $G (G)$ of a group $G$ is the simple digraph with vertex set $G$ in which $x \to y$ if $y$ is a power of $x$ , the power grap…

math.CO2018

Enhanced Power Graphs of Finite Groups

Samir Zahirović, Ivica Bošnjak, Rozália Madarász

The enhanced power graph $G_{e} (G)$ of a group $G$ is the graph with vertex set $G$ such that two vertices $x$ and $y$ are adjacent if they are contained in…

Power graphs of all nilpotent groups

The Power Graph of a Torsion-Free Group Determines the Directed Power Graph

The Power Graph of a Torsion-Free Group of Nilpotency Class 2

Enhanced Power Graphs of Finite Groups

The Power Graph of a Torsion-Free Group of Nilpotency Class $2$