A graph G is said to be non-neighbour irregular graph if no two nonadjacent vertices of G have same degree. This paper suggests the methods of construction of non-neighbour irregular graphs. This paper also includes a few properties possessed by these non-neighbour irregular graphs.
Bulletin of Mathematical Sciences and Applications (Volume 15)
B. Basavanagoud et al., "Non-Neighbour Irregular Graphs", Bulletin of Mathematical Sciences and Applications, Vol. 15, pp. 1-7, 2016