Chemical graph theory plays an essential role in modeling and designing any chemical structure or chemical network. For a (molecular) graph, the Zagreb indices and the Zagreb eccentricity indices are well-known topological indices to describe the structure of a molecule or graph and can be used to predict properties such as the size and number of rings in a molecule, as well as the thermodynamic stability and reactivity of compounds. In this paper, we introduce a class of molecular models, namely, the Vicsek polygon graphs, which extend the traditional Vicsek networks. We compute the Zagreb indices and the Zagreb eccentricity indices of Vicsek polygon graphs by self-similarity and the recurrence relation based on the construction of graphs.

化学图论在建模和设计任何化学结构或化学网络中发挥着重要作用。对于（分子）图，萨格勒布指数和萨格勒布偏心率指数是众所周知的拓扑指数，用于描述分子或图的结构，可用于预测分子中环的大小和数量等属性，如下所示以及化合物的热力学稳定性和反应性。在本文中，我们介绍了一类分子模型，即 Vicsek 多边形图，它扩展了传统的 Vicsek 网络。基于图的构造，利用自相似性和递推关系计算了Vicsek多边形图的萨格勒布指数和萨格勒布偏心率指数。