Computing Sanskruti Index of Titania Nanotubes

Let G = ( V ; E ) be a simple connected graph. The Sanskruti index was introduced by Hosamani and defined as S ( G ) = ∑ u v ∈ E ( G ) ( S u S v S u + S v − 2 ) 3 where S u is the summation of degrees of all neighbors of vertex u in G . In this paper, we give explicit formulas for the Sanskruti index of an infinite class of Titania nanotubes T i O 2 [ m , n ] .