The edge-Wiener index, an invariant index representing the summation of the distances between every pair of edges in the graph, has monumental influence on the study of chemistry and materials science. In this paper, drawing inspiration from Gromov’s idea, we use the finite pattern method proposed by Wang et al. [Average geodesic distance of Sierpinski gasket and Sierpinski networks, Fractals 25(5) (2017) 1750044] to figure out the exact formula of edge-Wiener index of the Sierpinski fractal networks.

中文翻译：

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谢尔宾斯基分形网络的边维纳指数

边维纳指数是一种不变指数，表示图中每对边之间距离的总和，对化学和材料科学的研究具有巨大的影响。在本文中，受到Gromov思想的启发，我们使用Wang等人提出的有限模式方法。[Sierpinski垫片和Sierpinski网络的平均测地距离，Fractals  25 (5)(2017)1750044]计算出Sierpinski分形网络边维纳指数的精确公式。