Abstract A Set Doce of V (G) is an Outer Connected Eccentric Set of Dominating, if Doce is an Eccentric Dominating Set of G and in graph V (G) - Doce is connected. An Outer Connected Eccentric Domination Number is the least magnitude of an Outer Connected Eccentric Dominating set and is denoted byγoce. Here we determine an Outer Connected Eccentric Domination number of some certain graphs and also found some stuff of an Outer Connected Eccentric Domination Number.
S et al. (Tue,) studied this question.