E-Cordial and Z3-Magic Labelings in Extended Triplicate Graph of a Path

In this paper we prove that the extended triplicate graph (ETG) of finite paths admits product E-cordial , total product E-cordial labelings. We show that ETG of finite paths of length n where n ∉ {4m-3|m∈N} admits E-Cordial, total E-cordial labelings and also we prove the existence of Z3 – magic labeling for the modified Extended Triplicate graph.