In this contribution, we consider line splitting graph LS(G) of a graph G as transformation graph G++ of Gab. We investigate the sum degree distance DD+(G) and product degree distance DD*(G) of transformation graph Gab, which are weighted version of Wiener index. The Transformation graphs of Gab are G++, G+-, G-+ and G--.
Bulletin of Mathematical Sciences and Applications (Volume 16)
K. G. Mirajkar and Y.B. Priyanka, "The Sum Degree Distance and the Product Degree Distance of Generalized Transformation Graphs Gab", Bulletin of Mathematical Sciences and Applications, Vol. 16, pp. 76-88, 2016