graph of a commutative ring R, called the underlying graph of T Σ (Γ (R)) and T Σ (Γ (R)) is
associated with a signing of its edges (a, b) by the function σ such that σ (a, b) is '+'if a∈ Z
(R) or b∈ Z (R) and '−'otherwise. The aim of this paper is to gain a deeper insight into the
notion of signed total graph by characterizing the rings for which line signed graph L (T Σ (Γ
(R))) of signed total graph are C-consistent, T Σ (Γ (R))-consistent and sign-compatible.