Two-point resistances in an Apollonian network

被引：9

作者：

Shangguan, Yingmin ^{[1
]}

Chen, Haiyan ^{[1
]}

机构：

[1] Jimei Univ, Sch Sci, Xiamen 361021, Fujian, Peoples R China

来源：

PHYSICAL REVIEW E | 2017年 / 96卷 / 06期

基金：

中国国家自然科学基金;

关键词：

COMPLEX NETWORKS; DISTANCE; GRAPHS;

D O I：

10.1103/PhysRevE.96.062140

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The computation of resistance between two nodes in a resistor network is a classical problem in electric theory and graph theory. Based on the Apollonian packing, Andrade et al. introduced a deterministic growing type of networks A(k) [Phys. Rev. Lett. 94, 018702 (2005)]. In this paper, first, a recursive algorithm for computing resistance between any two nodes in A(k) is given. Then as explanations, using the algorithm, explicit expressions for some resistances in A(k) are obtained.

引用

页数：7

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