A. Erfanian

activity

20092023

most citedRelative n-isoclinism classes and relative n-th nilpotency degree of finite groups

12 citations · 18 across the 11 of their papers we have counts for

collaborators

11 papers

math.CO2023

Edge-Locating Coloring of Graphs

M. Korivand, D. A. Mojdeh, Edy Tri Baskoro +1

An edge-locating coloring of a simple connected graph $G$ is a partition of its edge set into matchings such that the vertices of $G$ are distinguished by the distance to the match…

math.CO2021

On the comparison of the distinguishing coloring and the locating coloring of graphs

M. Korivand, A. Erfanian, Edy T. Baskoro

Let G be a simple connected graph. Then chi L(G) and chi D(G) will denote the locating chromatic number and the distinguishing chromatic number of G, respectively. In this paper, w…

math.CO2015

Relative Cayley graphs of finite groups

Mohammad Farrokhi Derakhshandeh Ghouchan, Mehdi Rajabian, Ahmad Erfanian

The relative Cayley graph of a group $G$ with respect to its proper subgroup $H$ , is a graph whose vertices are elements of $G$ and two vertices $h \in H$ and $g \in G$ are adjacent…

math.GR2014

Planar infinite groups

Mehdi Rajabian, Mohammad Farrokhi Derakhshandeh Ghouchan, Ahmad Erfanian

We will determine all infinite $2$ -locally finite groups as well as infinite $2$ -groups with planar subgroup graph and show that infinite groups satisfying the chain conditions con…

math.GR2014

On power graphs of finite groups with forbidden induced subgraphs

Alireza Doostabadi, Ahmad Erfanian, Mohammad Farrokhi Derakhshandeh Ghouchan

The power graph $P (G)$ of a finite group $G$ is a graph whose vertex set is the group $G$ and distinct elements $x, y \in G$ are adjacent if one is a power of the other, th…

math.AC2014

On cycles in intersection graph of rings

Ali Azimi, Ahmad Erfanian, Mohammad Farrokhi Derakhshandeh Ghouchan +1

Let $R$ be a commutative ring with non-zero identity. We describe all $C_{3}$ - and $C_{4}$ -free intersection graph of non-trivial ideals of $R$ as well as $C_{n}$ -free intersection graph…

math.AC2014

Isomorphisms between Jacobson graphs

Ali Azimi, Ahmad Erfanian, Mohammad Farrokhi Derakhshandeh Ghouchan

Let $R$ be a commutative ring with a non-zero identity and $J_{R}$ be its Jacobson graph. We show that if $R$ and $R^{'}$ are finite commutative rings, then $\mathfrak{J}_R\c…

math.GR2011

On the multiple exterior degree of finite groups

Rashid Rezaei, Peyman Niroomand, Ahmad Erfanian

Recently, two first authors have introduced a group invariant, which is related to the number of elements $x$ and $y$ of a finite group $G$ such that $x \land y = 1$ in the exterior…

math.GR2010★ 12 cited

Relative n-isoclinism classes and relative n-th nilpotency degree of finite groups

Ahmad Erfanian, Rashid Rezaei, Francesco G. Russo

The purpose of the present paper is to consider the notion of isoclinism between two finite groups and its generalization to n-isoclinism, introduced by J. C. Bioch in 1976. A weak…

math.GR2009★ 5 cited

The Non-Abelian Tensor Square and Schur multiplier of Groups of Orders $p^{2} q$ , $p q^{2}$ and $p^{2} q r$

S. H. Jafari, P. Niroomand, A. Erfanian

The aim of this paper is to determine the non-abelian tensor square and Schur multiplier of groups of square free order and of groups of orders $p^{2} q$ , $p q^{2}$ and $p^{2} q r$ , where $p…

math.GR2009★ 1 cited

Some considerations on the nonabelian tensor square of crystallographic groups

Ahmad Erfanian, Francesco G. Russo, Nor Haniza Sarmin

The nonabelian tensor square $G \otimes G$ of a polycyclic group $G$ is a polycyclic group and its structure arouses interest in many contexts. The same assertion is still true for…