Abstract
Neutrosophic cubic graph (NCG) belonging to FG family has good capabilities when facing
problems that cannot be expressed by FGs. When an element membership is not clear,
neutrality is a good option that can be well supported by a NCG. Hence, in this paper,
some types of edge irregular neutrosophic cubic graphs (EI-NCGs) such as neighborly edge
totally irregular (NETI), strongly edge irregular (SEI), and strongly edge totally
irregular (SETI) are introduced. A comparative study between NEI-NCGs and NETI-NCGs is
done. Finally, an application of neutrosophic cubic digraph to find the most effective
person in a school has been presented.