10 citations · 19 across the 18 of their papers we have counts for
6 papers · 1 filter
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…
On cycles in intersection graph of rings
Ali Azimi, Ahmad Erfanian, Mohammad Farrokhi Derakhshandeh Ghouchan +1
Let be a commutative ring with non-zero identity. We describe all - and -free intersection graph of non-trivial ideals of as well as -free intersection graph…
Cycles and paths in Jacobson graphs
Ali Azimi, Mohammad Farrokhi Derakhshandeh Ghouchan
All finite Jacobson graphs with a Hamiltonian cycle or path, or Eulerian tour or trail are determined, and it is shown that a finite Jacobson graph is Hamiltonian if and only if it…