Abstract

Molecular topological indices are numerical descriptor of molecular structure obtained via molecular graph G. The forgotten topological index F(G) is a vertex degree based topological index and it can be expressed with $F\left(G\right)=\sum {d\left(v\right)}^3=\sum \left({d\left(u\right)}^2+{d\left(v\right)}^2\right),$ where d(u) denotes the degree of u. The forgotten co-index Co-F(G) is defined as the sum of squares of a graph’s vertex degrees which is not adjacent. In this study, the F(G) and Co-F(G) index of HAC₅C₇, HAC₅C₆C₇, linear [n]-phenylenes and cyclic phenylenes nanostructures are computed for possible works in the properties of molecules such as structure–property relationship. In addition, polynomials of the forgotten index and co-index are found for these nanostructures.

摘要

分子拓扑指数是通过分子图 G 得到的分子结构的数值描述符。被遗忘的拓扑指数F ( G ) 是基于顶点度的拓扑指数，可以表示为$F\left(G\right)=\sum {d\left(v\right)}^3=\sum \left({d\left(你\right)}^2+{d\left(v\right)}^2\right),$其中d ( u ) 表示 u 的度数。被遗忘的共索引 Co- F ( G ) 定义为不相邻的图的顶点度数的平方和。在这项研究中，计算了 HAC ₅ C ₇、HAC ₅ C ₆ C _{7 、线性 [n]-亚苯基和环状亚苯基纳米结构的}F ( G ) 和 Co- F ( G ) 指数，以了解分子性质的可能工作比如结构与属性的关系。此外，为这些纳米结构找到了遗忘指数和共指数的多项式。