10 citations · 19 across the 18 of their papers we have counts for
6 papers · 1 filter
Finite groups with five relative commutativity degrees
Mohammad Farrokhi Derakhshandeh Ghouchan
We classify all finite groups with five relative commutativity degrees. Also, we give a partial answer to our previous conjecture on a lower bound of the number of relative commuta…
Factorization graphs of finite groups
Mohammad Farrokhi Derakhshandeh Ghouchan, Ali Azimi
We introduce the factorization graph of a finite group and study its connectedness and forbidden structures. We characterize all finite groups with connected factorization graphs a…
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…