On the Sanskruti index of graphs

The topological indices are important tools in the chemical graph theory to model different physico-chemical properties of molecules. The Sanskruti index for a graph G having vertex set V (G) and edges set E(G) is defined as S(G) = Sigma(uv is an element of(G)) (delta(G)(u)delta(G)(v)/delta(G)(u) + delta(G)(v) - 2)(3), where delta(G)(u) represents the degree sum of nodes adjacent to u is an element of V (G). In this report, we argue that the chemical applicability of the S-index in the paper (Hosamani in J Appl Math Comput 54:425-433, 2017) is investigated incorrectly. In addition to correcting the result, we perform a comprehensive investigation to uncover the chemical significance of S. Some interesting mathematical features of the index are also explored by deriving some tight bounds with identifying the extremal graphs.