The resistance distance between two vertices of a simple connected graph G is equal to the resistance between two equivalent points on an electrical network, constructed to correspond to G , with each edge being replaced by a unit resistor. In this study, we apply the principle of substitution to three-towers Hanoi graph to procure an equivalent network that enables us to only use the series and parallel principles and the delta-wye transformation to acquire the some two-vertex resistance distances of three-towers Hanoi graph.

中文翻译：

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由分形图形成的三塔河内图的一些二顶点电阻

简单连通图 G 的两个顶点之间的电阻距离等于电气网络上两个等效点之间的电阻，构造为对应于 G ，每条边都由一个单位电阻代替。在本研究中，我们将代换原理应用于三塔河内图来获得等效网络，使我们能够仅使用串并联原理和 delta-wye 变换来获得三塔的一些两顶点电阻距离塔河内图。