Let R be a commutative ring with nonzero identity and J(R) be the Jacobson radical

of R. The Jacobson graph of R, denoted by JR, is a graph with vertex-set R \\ J(R), such that

two distinct vertices a and b in R \\ J(R) are adjacent...

In this paper, we investigate when the unit, unitary and total graphs have

planar line graph, and also we study the case when these line graphs are ring graph or

outerplanar....

Let R be a commutative ring with nonzero identity. We denote by AG(R)

the annihilator graph of R,whose vertex set consists of the set of nonzero zero-divisors

of R, and two distint vertices x and y are adjacent if and only if ann...

In this talk we provide a generalization of Cayley graphs for commutative ring. Our result provide extensions of some theorems in unit and unitary Cayley graphs.‎...

Distance-balanced graphs are graphs in which for every edge e = uv the number of vertices closer to u than to v is equal to the number of vertices closer to v than to u. In this paper, we study this property under some graph operations. Also, we...

Let R be a commutative ring with identity element. For a

natural number n, we associate a simple graph, denoted by

Gamma^n_R , with R^n setminus { as the vertex set and two

distinct vertices X and Y in R^n being adjacent...

In this paper, we investigate when the unit, unitary and total graphs are ring graphs, and also we study

the case that they are outerplanar....

Let G be a finite non-abelian group and g be a fixed element of G. In 2014, Tolue et al. introduced the g-noncommuting graph of G (denoted by $\\Gamma_G^g$) with vertex set G and two distinct vertices x and y join by an edge if $[x,y]\\neq g$ and $g...

In this talk we study Ring graphs and ‎outerplanar‎ graphs for zero divisor graphs and unite and unitary graphs....