10 citations · 19 across the 18 of their papers we have counts for
4 papers · 2 filters
Toroidal and projective commuting and non-commuting graphs
Mojgan Afkhami, Mohammad Farrokhi Derakhshandeh Ghouchan, Kazem Khashyarmanesh
In this paper, all finite groups whose commuting (non-commuting) graphs can be embed on the plane, torus or projective plane are classified.
Embeddings of (proper) power graphs of finite groups
Alireza Doostabadi, Mohammad Farrokhi Derakhshandeh Ghouchan
The (proper) power graph of a group is a graph whose vertex set is the set of all (nontrivial) elements of the group and two distinct vertices are adjacent if one is a power of the…
On the connectivity of proper power graphs of finite groups
Alireza Doostabadi, Mohammad Farrokhi Derakhshandeh Ghouchan
We study the connectivity of proper power graphs of some family of finite groups including nilpotent groups, groups with a non-trivial partition, and symmetric and alternating grou…
On power graphs of finite groups with forbidden induced subgraphs
Alireza Doostabadi, Ahmad Erfanian, Mohammad Farrokhi Derakhshandeh Ghouchan
The power graph of a finite group is a graph whose vertex set is the group and distinct elements are adjacent if one is a power of the other, th…