Two-point resistances in a family of self-similar (x, y)-flower networks
Two-point resistances in a family of self-similar (x, y)-flower networks
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自相似 (x, y) 花网络族中的两点电阻
DOI：
10.1016/j.physa.2019.02.008
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Chen Haiyan
中科院分区：
文献类型：
--
作者：
Shangguan Yingmin;Chen Haiyan
网络中节点间电阻的计算是电学和图论中的一个基本问题。本文首先给出了计算自相似（x，y）-花网络族中任意两节点间电阻的递归算法。（x，y）-花形网络表现出丰富的行为，正如在大量真实的系统中所观察到的那样。作为解释，利用该算法，得到了（1，3）-花网络和（2，2）-花网络中某些电阻的显式表达式。
The computation of resistance between two nodes in networks is a fundamental problem in both electric theory and graph theory. In this paper, first, a recursive algorithm for computing resistance between any two nodes in a family of self-similar (x, y)-flower networks is given. The (x, y)-flower networks display rich behavior as observed in a large variety of real systems. Then as explanations, using the algorithm, explicit expressions for some resistances in (1, 3)-flower networks and (2, 2)-flower networks are obtained.