H. Dorbidi

activity

20112023

collaborators

4 papers

math.GR2023

Minimal cover groups

Peter J. Cameron, David Craven, Hamid Reza Dorbidi +2

Let $F$ be a set of finite groups. A finite group $G$ is called an \emph{ $F$ -cover} if every group in $F$ is isomorphic to a subgroup of $G$ . An $\mat…

math.RA2023

Compressed commuting graphs of matrix rings

Ivan-Vanja Boroja, Hamid Reza Dorbidi, Damjana Kokol Bukovšek +1

In this paper we introduce compressed commuting graph of rings. It can be seen as a compression of the standard commuting graph (with the central elements added) where we identify…

math.CO2016

A graph which recognizes idempotents of a commutative ring

Hamid Reza Dorbidi, Saeid Alikhani

In this paper we introduce and study a graph on the set of ideals of a commutative ring $R$ . The vertices of this graph are non-trivial ideals of $R$ and two distinct ideals $I$ an…

math.GR2011

Commutativity pattern of finite non-abelian $p$ -groups determine their orders

A. Abdollahi, S. Akbari, H. Dorbidi +1

Let $G$ be a non-abelian group and $Z (G)$ be the center of $G$ . Associate a graph $Γ_{G}$ (called non-commuting graph of $G$ ) with $G$ as follows: take $G ∖ Z (G)$ as the verti…

Minimal cover groups

Compressed commuting graphs of matrix rings

A graph which recognizes idempotents of a commutative ring

Commutativity pattern of finite non-abelian p-groups determine their orders

Commutativity pattern of finite non-abelian $p$ -groups determine their orders