The nbhd degree of a vertex [sup.x] in [sup.G] is defined as
The closed nbhd degree of a vertex [sup.x] in [sup.G] is defined as
3.8 Definition A neutrosophic graph G = ([G.sup.*], [LAMBDA], [THETA]) is called regular if all the vertices have the same open nbhd degree.
Here [x.sub.2] [member of] V, which is adjacent to the vertices [x.sub.1], [x.sub.3], [x.sub.6] with distinct nbhd degrees.