Sierpiński graphs are family of fractal nature graphs having applications in mathematics of Tower of Hanoi, topology, computer science, and many more diverse areas of science and technology. This family of graphs can be generated by taking certain number of copies of the same basic graph. A topological index is the number which shows some basic properties of the chemical structures. This article deals with degree based topological indices of uniform subdivision of the generalized Sierpiński graphs S(n,G) and Sierpiński gasket Sn . The closed formulae for the computation of different kinds of Zagreb indices, multiple Zagreb indices, reduced Zagreb indices, augmented Zagreb indices, Narumi-Katayama index, forgotten index, and Zagreb polynomials have been presented for the family of graphs.

中文翻译：

---

Sierpiński图均匀细分的一些拓扑性质

Sierpiński 图是分形自然图家族，在河内塔数学、拓扑学、计算机科学以及更多不同的科学和技术领域都有应用。可以通过获取相同基本图的一定数量的副本来生成该图族。拓扑指数是显示化学结构的一些基本性质的数字。本文处理广义谢尔宾斯基图均匀细分的基于度数的拓扑指数小号(n,G) 和谢尔宾斯基垫片小号n . 计算不同种类的萨格勒布指数、多个萨格勒布指数、简化萨格勒布指数、增广萨格勒布指数、Narumi-Katayama 指数、遗忘指数和萨格勒布多项式的封闭公式已针对图族提出。