Sombor Index of Some Nanostar Dendrimers and Silicate Structures

Abstract

In 2020, Gutman introduced a degree based topological index of graphs namely the Sombor Index. Let dv(G) be the degree of the vertex v in graph G. The Sombor Index of G is defined as SO(G) = P uv2 (G) q du(G)2 + dv(G)2. It is a very young field and has gathered the attention of many researchers which has led it to become one of the fundamental concepts of chemical graph theory. In this study, we take into consideration some infinite families of nano star dendrimers such as HFD(ei) dendrimer, Nanostar dendrimers D1[n], Nanostar dendrimer D2[n] and Hypercore dendrimerDn. Compute their Sombor index. Moreover, we find the Sombor index for a few silicate networks like SLN(n) and Chain silicate network CSn etc.