for total graphs. In this paper, we investigate the basic properties of GT^n_U (R^n). Moreover, we study the planarity of the graphs GT^n_U (U), GT^n_U (R^n-U) and GT^n_U (R^n)....

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....

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 T(Γ(R)) be the total graph of a commutative ring R, that is, a graph with all elements of R as vertices

and two distinct vertices a and b are adjacent if and only if a+b is a zero-divisor on R. In this paper, we classify all finite rings...

Let T( Gamma(R)) be the total graph of a commutative ring R ,

that is a graph with all elements of R as vertices and two

distinct vertices a and b are adjacent if and only if a+b is

a zero-divisor on R . In this talk...

Let R be a commutative ring. The total graph of R, denoted by T(Γ(R)), is a graph

with all elements of R as vertices, and two distinct vertices x, y ∈ R are adjacent if and

only if x + y ∈ Z(R), where Z(R) denotes the set of zero...