In this study we consider relatively new bond-additive Mostar indices that appear to provide quantitative measures of peripheral shapes of molecules. We have computed weighted Mostar, edge-Mostar and total-Mostar indices of graphene, [Formula: see text]-types of graphyne and graphdiyne, which are of considerable interest owing to their novel properties and thus find applications in a number of areas such as sensors, catalysis, chemisorption and nanomedicine. We have implemented the results to analyse the weighted Mostar indices and have obtained exact analytical expressions for the title molecules. We propose that Mostar indices together with frontier molecular orbitals, and HOMO-LUMO gaps can provide measures of chemical reactivity and analysis of peripheral molecular shapes.

中文翻译：

---

加权莫斯塔尔指数作为对石墨烯，石墨烯和石墨二炔纳米带的分子外围形状的度量。

在这项研究中，我们考虑了相对较新的键加性莫斯塔尔指数，这些指数似乎可以定量测量分子的外围形状。我们已经计算了石墨烯的加权莫斯塔尔，边缘莫斯塔尔和总莫斯塔尔指数，[石墨烯和石墨二炔]类型，由于它们的新颖性质而备受关注，因此在许多领域得到了应用作为传感器，催化，化学吸附和纳米医学。我们已经实施了结果以分析加权莫斯塔尔指数，并获得了标题分子的精确分析表达式。我们建议莫斯塔尔指数与前沿的分子轨道和HOMO-LUMO间隙可以提供化学反应性的测量和外围分子形状的分析。