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math.GR2025
Non-commuting graph of AC-groups: as matroids
Azizollah Azad, Nasim Karimi, Sakineh Rahbariyan
Let G be a non-abelian group and let Z(G) be the center of G. Associate a graph ΓG (called non-commuting graph of G) as follows: Take G\Z(G) as the vertices of ΓG and join x and y,…
math.GR2022
On the tree-number of the power graph associated with a finite groups
Sakineh Rahbariyan
Given a group , we define the power graph as follows: the vertices are the elements of and two vertices and are joined by an edge if $\langle x \ran…
math.GR2017★ 4 cited
The number of spanning trees of power graphs associated with specific groups and some applications
A. R. Moghaddamfar, S. Rahbariyan, S. Navid Salehy +1
Given a group , we define the power graph as follows: the vertices are the elements of and two vertices and are joined by an edge if $\langle x\rang…