Hosoya polynomial is a vertex-distance based polynomial highly consigned with Wiener and hyper-Wiener index. Nanotubes are the nano scale material which can be used to explain novel attributes like highlights contrasted and expanded quality conductivity of material. In this paper, we presented the Hosoya polynomial and Harary polynomial for zigzag polyhex nanotube TUHC₆. Moreover, some distance-dependent indices, for example, generalized Harary index, modified Wiener index, and modified hyper-Wiener index, are also computed for zigzag polyhex nanotubes TUHC₆.

中文翻译：

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之字形多六角纳米管的基于距离的不变量

细谷多项式是一个基于顶点距离的多项式，具有维纳指数和超维纳指数。纳米管是纳米级材料，可用于解释新的属性，如突出对比和扩展材料的质量导电性。在本文中，我们提出了锯齿形多角形纳米管T U H C ₆的细谷多项式和哈拉里多项式。此外，还计算了Z字形多六角纳米管T U H C ₆的一些距离相关指数，例如广义哈拉里指数、修正维纳指数和修正超维纳指数。