Let R be a commutative ring with Z(R) , its set of zero-divisors and Reg(R) , its set of regular elements. Total graph of R , denoted by T (Γ(R)) , is the graph with all elements of R as vertices, and two distinct vertices x, y ∈ R , are adjacent in T (Γ(R)) if and only if x+ y ∈ Z(R) . In this paper, some properties of T (Γ(R)) have been investigated, where R is a finite commutative ring and a...