Total irregularity strength of some cubic graphs

Let G = (V;E) be a graph. A total labeling ψ : V ⋃ E → {1, 2, ....k} is called totally irregular k-labeling of if every two distinct vertices u and v in (G) satisfy wt(u) ≠wt(v); edges u1u2 v1v2 E(G) wt(u1u2) ≠ wt(v1v2); where (u) + ∑uv∊E(G) ψ(uv) ψ(u1) ψ(u1u2) ψ(u2): The minimum k for which graph has the irregularity strength G, denoted by ts(G): In this paper, we determine exact value cubic graphs.