Polyhex纳米管的增广Zagreb指数
Augmented Zagreb Index of Polyhex Nanotubes
摘要：
增广Zagreb指数是一种新定义的基于度的拓扑不变量，它被定义为$AZI(G)= \sum_{uv\in E(G)}(\frac{d_G (u)d_G (v)}{d_G (u)+ d_G (v)-2})^3 $，其中$E(G)$是图$G$的边集，$d(u),\,\,d(v)$分别是边$uv$的端点$u$和$v$的度.它的性能优于许多著名的基于度的拓扑指数。在这篇文章中，我们给出了臂椅型和锯齿型聚六角纳米管的增广萨格勒布指数的封闭公式。
英文摘要：
Augmented Zagreb Index is a newly defined degree based topological invariant which has been well established for its better correlation properties and is defined as $AZI(G)= \sum_{uv\in E(G)}(\frac{d_G (u)d_G (v)}{d_G (u)+ d_G (v)-2})^3 $, where $E(G)$ is the edge set of graph $G$ and $d(u),\,\,d(v)$ are the degrees of the end vertices $u$ and $v$ of edge $uv$, respectively. It has outperformed many well known degree based topological indices. In this article we give closed formulae for the augmented Zagreb index of arm-chair polyhex and zigzag edge polyhex nanotubes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
